The latest “Guide to College English Teaching” lists crosscultural education as an important part of college English courses. At the same time, ICAO ’s requirements for civil aviation pilots and controllers ’crosscultural abilities increase year by year, which raises new requirements for the cultivation of cultural abilities. This article explores this subject from two aspects of crosscultural psychology and crosscultural behavior, using SPSS22.0 data analysis method and Delphi method to establish an evaluation model, which includes four firstlevel indicators: attitude, awareness, knowledge and skill. Attitude and consciousness evaluate crosscultural psychology, and knowledge and skills evaluate crosscultural behavior. Under the 4 firstlevel indicators, there are 6 secondlevel indicators and 17 thirdlevel indicators. This paper uses the accuracy and convenience of language operators in the process of information conversion to transform fuzzy subjective qualitative analysis into quantitative analysis, and proposes a set of evaluation methods for crosscultural competence based on language operators. At the same time, an empirical study was conducted with C University as an example. The statistical results show that the method has good applicability and scientificity for the evaluation of the crosscultural competence of civil aviation college students.
Keywords
 crosscultural
 competence
 crosscultural psychology
 civil aviation
 language operator
MSC 2010
 9008
The cultural attributes of language determine that the college English curriculum should not only focus on instrumentality, but also on humanity. The newlydeveloped “Guide to College English Teaching” mentioned many times the cultivation of college students’ crosscultural abilities, which endowed the humanistic connotation of college English courses, and paid full attention to the crosscultural communication courses. The “Guide” lists crosscultural education as an important task of college English courses. It emphasizes that enhancing crosscultural communication awareness and communicative competence is the teaching goal. At the same time, it also specifically explains the purpose, structure and content of the crosscultural communication course. The “Guide” proposes that the purpose of offering crosscultural communication courses in colleges and universities is to “provide crosscultural education, help students understand the differences between different world views, values, and ways of thinking, at home and abroad, cultivate students ’crosscultural awareness, and improve students’ social language skills And intercultural communication skills” [9]. The students of civil aviation schools shoulder the important task of the international development of our civil aviation industry, and they need to have a crosscultural perspective and good crosscultural communication skills. At the same time, airlines are constantly absorbing foreign pilots and foreign controllers. It is becoming more and more common for multinational pilots and controllers to work together. How to effectively communicate with them and ensure flight safety is particularly important. At present, there is little theoretical research on the crosscultural competence of civil aviation college students, and empirical research is lacking. Therefore, it is of theoretical and practical significance to investigate and evaluate the status of intercultural competence of students in civil aviation universities.
Intercultural competence research has been rapidly developed in Europe and America since the 1960s and 1970s, and the concept of “intercultural competence” has been widely used. Byram divides crosscultural competence into three aspects: attitude, knowledge, and skills [2]. Fantini pointed out that crosscultural competence is a comprehensive ability to communicate properly and effectively with people from different cultures [4]. Deardorff believes that crosscultural competence is the ability to communicate effectively and appropriately based on personal crosscultural knowledge, skills, awareness and attitudes [3]. Spitzberg cited three main factors of intercultural competence: knowledge, motivation, and skill [7]. Although various scholars have different definitions and statements on crosscultural competence, their connotations are basically the same. In the past two decades, China’s crosscultural competence evaluation research has also achieved many results. Zhang Hongling et al. Proposed a competitionbased evaluation of crosscultural competence. By constructing an evaluation index system for crosscultural competence competition, a crosscultural competence contest was designed, and then the content analysis method was used to statistically analyze the data of contestants to demonstrate the feasibility of the evaluation method. [13]. Wu Weiping and others conducted empirical research based on Byram’s crosscultural competence evaluation model theory, systematically and comprehensively analyzed the dimensions of consciousness, attitude, knowledge, and skills in the composition of college students’ crosscultural competence, and carried out. Exploratory and confirmatory factor analysis, constructed a good reliability and validity of Chinese college students crosscultural ability evaluation scale [11]. Zhang Yong conducted a comprehensive analysis of empirical research on college students ’crosscultural competence from the perspective of foreign language teaching, and proposed future development directions for empirical research on crosscultural communicative competence in foreign language education. How to do a good job in research design and determination of research methods will be developed in the future One of the key points [14].
Judging from the existing evaluation methods, there are more qualitative studies and less quantitative studies [15]. In particular, there are few studies on the evaluation of crosscultural competence in the field of civil aviation, which is becoming more and more internationalized [16]. Therefore, this article combines the general trend of international development of civil aviation and the crosscultural requirements for civil aviation practitioners, based on the existing literature, a set of evaluation models and systems for college students ’crosscultural abilities is established, and the characteristics of language operators. The evaluation method is proposed. Finally, through case analysis, the practicality and scientificity of the method in evaluating crosscultural competence are demonstrated.
The evaluation of the crosscultural competence of students in civil aviation institutions has a significant impact on the evaluation of crosscultural communication and educational effects in civil aviation institutions and the external environmental management of civil aviation institutions. However, the existing research results do not have a reasonable and scientific theoretical system and evaluation system for judging the crosscultural ability of civil aviation college students. In addition, there is no indepth understanding of the importance of crosscultural communication ability for students of civil aviation institutions and the necessity of evaluating the crosscultural ability of students of civil aviation institutions for the training of students of civil aviation institutions. Therefore, this article uses the following methods to build an evaluation model.
According to the interpretation of crosscultural competence by many scholars at home and abroad, based on Byram’s crosscultural competence (ICC) component model, the firstlevel indicators of crosscultural competence evaluation are established from two aspects of crosscultural psychology and crosscultural behavior: attitude, awareness, knowledge And skills. At the same time, based on Byram’s specific description of the above four dimensions, and referring to Fantini’s crosscultural ability evaluation scale and Wu Weiping’s selfevaluation table of college students’ crosscultural knowledge, through consultation and investigation of experts and students, a fourbyone A preliminary index system consisting of firstlevel indicators, 8 secondlevel indicators and 20 thirdlevel indicators. Based on the above evaluation indicators, this study set up a crosscultural ability questionnaire. The questionnaire adopts a combination of closed and open forms. On the one hand, through the quantitative analysis of the closed questionnaire, the intercultural competence level of the research object is obtained. On the other hand, in combination with the indepth investigation of the open questionnaire, a wider range of data is collected to qualitatively supplement and verify the results of the quantitative research.
In order to ensure the reliability and validity of the primary index, this study first conducted a pretest to screen and adjust the primary index. The purpose was to test the rationality of the index system structure validity and the ownership of each index. For the sample of this pretest, 364 questionnaires were collected from C University for SPSS data analysis through the distribution of online questionnaires. The overall Cronbach ’s Alpha value of the scale is 0.946> 0.8, indicating that the 20 questions in the questionnaire have good internal reliability. At the same time, the method of factor analysis is used for structural validity test. The data analysis results show that the KMO value of the scale is 0.933, indicating good validity. Bartlett’s spherical test corresponds to a sig of 0.000, which means that the null hypothesis is rejected, indicating that the variables are not independent of each other, and are suitable for factor analysis. The results of factor analysis are shown in Table 1:
Rotate Matrix result 1.
Element 


1  2  3  4  5  6  7  8  
U111  0.176  0.306  0.148  0.171  0.126  −0.04  0.015  
U112  0.089  0.342  0.175  0.151  0.142  0.217  0.064  
U121  0.055  0.122  0.104  0.34  0.113  −0.005  −0.089  
U122  0.115  0.179  0.135  0.221  0.199  0.098  0.078  
U123  0.087  0.127  0.264  0.104  0.058  0.15  0.116  
U211  0.186  0.258  0.121  0.112  0.102  0.132  0.514  
U212  0.061  0.076  0.153  0.073  0.056  0.13  0.486  
U221  0.11  0.179  0.18  0.132  0.126  0.012  0.046  
U222  0.069  0.164  0.19  0.075  0.085  0.067  −0.06  
U223  0.035  0.154  0.087  0.054  0.213  0.261  −0.086  
U311  0.279  0.182  0.261  0.309  0.076  0.124  0.106  
U312  0.375  0.132  0.108  0.203  0.216  0.508  −0.028  
U313  0.286  0.162  0.157  0.152  0.187  0.189  −0.047  
U321  0.209  0.282  0.349  0.13  0.139  0.09  0.164  
U322  0.17  0.129  0.408  0.176  0.385  0.137  0.16  
U411  0.325  0.214  0.266  0.208  0.159  0.057  −0.053  
U412  0.138  0.227  0.302  0.401  0.201  0.228  0.202  
U421  0.246  0.311  0.248  0.046  0.286  0.164  −0.065  
U422  0.244  0.251  0.279  0.189  0.409  0.214  0.046  
U423  0.253  0.194  0.227  0.244  0.085  0.116  0.109 
Table 1 is the factor load matrix obtained by SPSS22.0 software using principal component analysis and rotating the load matrix. The above table can clearly distinguish the four firstlevel indicators established previously. It can be seen from the above table that factor 1 corresponds to knowledge, factor 2 corresponds to attitude, factor 3 corresponds to skill, and factor 4 corresponds to awareness, and factor 2 is not divided into two principal components by the secondlevel indicators, and the thirdlevel indicators of factor 3 are confusing Part of the items occupy multiple principal components in the factor rotation load matrix, and there is a problem that the attribution between the two factors is unclear. The items need to be modified to adjust and delete the secondlevel indicators of the factors. As a result, U212 is willing to learn foreign languages and understand foreigners, U311 can use appropriate body language for crosscultural communication, U411 can realize the cultural similarities and differences between foreigners when communicating with foreigners, and integrate U32 indicators into U31 Medium, integrate U42 indicator into U41. At the same time, this article uses Delphi method to establish further indicators and system. The Delphi method is a group decisionmaking method characterized by feedback, anonymity, and statistical estimation. It is particularly suitable for analyzing and predicting information that does not have a large amount of historical data and is easily affected by related factors. In this study, 10 experts engaged in crosscultural communication and education of civil aviation were invited to conduct various consultations and feedback, and 51 effective consultation information were collected. By screening and supplementing the initially proposed indicator system, the framework and specific indicators of the indicator system are finally determined. In addition, statistical analysis was carried out to check the collected data. After many rounds of consultation, feedback, modification and adjustment, this paper finally established a system of evaluation of crosscultural communication ability of civil aviation college students with 4 firstlevel indicators, 6 secondlevel indicators and 17 thirdlevel indicators, and continued to use SPSS22.0 uses principal component analysis to collect 327 questionnaires, rotate the load matrix and then obtain the factor load matrix for testing, as shown in Table 2:
Rotate element matrix.
element 


1  2  3  4  5  6  
U111  .118  .206  .273  .112  .057  
U112  .247  .061  .231  .286  .044  
U121  .100  .117  .046  .287  .071  
U122  .110  .169  .125  .188  .052  
U123  .192  .207  −.048  .055  .150  
U211  .199  .125  .225  .241  .079  
U221  .157  .169  .012  .138  .112  
U222  .217  .241  .011  .196  .139  
U223  .331  .322  .122  .104  .066  
U311  .343  .135  .346  .065  .094  
U312  .319  .108  .291  .163  .181  
U313  .297  .263  .140  .084  .003  
U314  .326  .199  .207  .137  .026  
U411  .283  .081  .344  .106  .137  
U412  .294  .142  .218  .126  .037  
U413  .374  .173  .134  .206  .109  
U414  .390  .213  .210  .150  .144 
Extraction method: analysis of main components.
Rotation method: Kaiser normalized maximum mutation method.
Convergence cycle in 7 iterations.
The test of Table 2 shows that the analysis of the indicators and expected indicators is correct, and finally the system for evaluating the crosscultural competence of civil aviation college students is produced, as shown in Table 3:
Evaluation System of Intercultural Ability of Civil Aviation College Students.
firstlevel indicator  secondlevel indicator  thirdlevel indicator 

Knowledge  Knowledge of national knowledge  Understand China’s history, geography, politics, and economic development and have its own knowledge and insights 
Understanding of crosscultural knowledge  Understand foreign history, geography and sociopolitical knowledge 

Atitude  Attitude towards national culture  Ability to accept national cultural values may be questioned and denied in foreign cultures 
Attitude towards foreign culture  Willing to treat other countries’ culture with an equal attitude, not excluding or obeying 

Skills  Ability to interact with foreign cultures  Be able to correctly recognize misunderstandings and obstacles in crosscultural communication 
Awareness  Crosscultural awareness  Be aware of the cultural similarities and differences that exist when communicating with foreigners 
The intercultural competence evaluation system of civil aviation colleges and universities evaluates students ’intercultural communicative competence from two aspects of intercultural psychology and intercultural behavior, and is used to evaluate whether the students’ intercultural competence can meet the needs of the international development of civil aviation. The system includes four evaluation dimensions, namely: knowledge, attitude, skills and awareness.
Knowledge dimension (Knowledge) includes the mastery of national cultural knowledge and crosscultural knowledge. The crosscultural knowledge reserve is the basis for cultivating and improving crosscultural abilities. Understanding national knowledge includes having your own knowledge and insights into your country’s culture, history, politics, geography, and economic development, as well as your own independent judgment on your country’s lifestyle and values. Crosscultural knowledge includes not only the understanding of foreign cultures, history, economy and values, but also the mastery of crosscultural skills and strategies. Attitudes are the prerequisite for successful crosscultural communication. The attitude dimension also includes attitudes towards both domestic and foreign cultures. For the national culture, we have to accept that it may be rejected and questioned in the foreign cultural values. At the same time, we also need to look at foreign cultures in a dialectical manner, not excluding or following blindly, seeking common ground while reserving differences. Skills are a powerful guarantee for crosscultural communication. Participants in crosscultural activities need to have the ability to interact with foreign cultures to promote the smooth progress of crosscultural communication. Awareness is formed through the accumulation of crosscultural theories and practices. Correct crosscultural awareness is especially important for the cultivation and improvement of crosscultural skills. It is also the foundation for building national cultural thinking and ensuring the smoothness of crosscultural communication activities Carry out.
At present, in view of the characteristics of subjective information and indicators such as crosscultural competence evaluation, the evaluation process mostly adopts qualitative analysis, and there are not many quantitative evaluations of crosscultural competence. How to achieve quantitative conversion of subjective information is the key. The scientific nature and accuracy of language operators in information conversion make it possible to effectively deal with a series of fuzzy evaluation scenarios. Therefore, the language operator is suitable for the evaluation of crosscultural ability of students in civil aviation institutions. This paper uses language operators as the basic method of empirical research, converts language information into language information matrix, and calculates the scores of various indicators to analyze the compliance status, and obtains the relevant ability level.
In daily life, people use natural language when exchanging information, and the semantics of natural language is full of unquantifiable nature. In order to clarify and quantify natural language to further distinguish and characterize the degree of natural language variables [8], people usually use modifiers in natural language, such as “more”, “slightly”, “a little “,” Very “and so on. Thus, the concept of linguistic variables was introduced. We can define modifiers such as “more”, “slightly”, “a little bit”, and “very” according to the degree of size as a number allocated according to size, used to evaluate the quality of the project, and finally determined according to the algorithm of language variables Evaluation value to define the evaluation object.
[1,12] is set as a finite discrete set, satisfying:
S is discrete. Therefore, some language information may be lost in the aggregation. To avoid this, S can be extended to a continuous set.
[10] operation of language variables:
Then:
Where
lim_{x→− ∞}
lim_{x→+∞}
Then, the mean and variance of the language vector composed of language variables are as follows:
[5] let language carrier
Use language weighted arithmetic average (LWAA) operator. In language information aggregation, the weighted average method is usually used. According to the relevant concepts and calculations of language operators and weighted average operators, language weighted arithmetic average operators are defined:
[6] let {
As for the definition
If all linguistic variables in the collection have the same weight, then:
This article selects N number of evaluators to evaluate M number of indicators to obtain language information and corresponding matrix;
(1) Determine the score of each indicator
According to definition 3, the indicator score Sth is:
Expression 1
(2) Determine the weight of each indicator
To a certain extent, the degree of change of the indicator can reflect its importance. In other words, the greater the degree of change in the indicator, the greater the amount of information provided, and the greater its weight. Therefore, this paper uses the standard deviation to determine the weight of each indicator.
(1) According to Definition 3, the standard deviation of the indicator Sth is
Expression 2
(2) The weight of the indicator Sth is expressed as:
Expression 3
(3) Determine the comprehensive evaluation score
According to definition 4, the comprehensive evaluation score is calculated as follows:
Expression 4
(3) Based on the language operator, the steps to evaluate the crosscultural competence of civil aviation college students:
Step 1: Each evaluator scores the indicator to obtain the language information matrix
Step 2: Use equation (1) to get the score of each indicator.
Step 3: Find the weight of each indicator through equations (2) and (3),
Step 4: Obtain the overall evaluation score through equation (4).
C University is a college directly under the Civil Aviation Administration of China. It is known as the cradle of Chinese civil aviation pilots and has trained most of our pilots and controllers. The core of building a strong civil aviation country is the international competitiveness of the civil aviation industry. The enhancement of international competitiveness requires strong support from international talents. Under the general trend of international development of civil aviation, the school’s requirements for students’ crosscultural ability are also increasing year by year. At present, the school has not only carried out relevant crosscultural courses to broaden students’ crosscultural horizons, but also actively provides students with crosscultural practical activities through various international cooperation projects. In order to further explore the cultivation of intercultural abilities of students in civil aviation universities, this paper evaluates the crosscultural abilities of students in civil aviation universities and randomly selects 297 students in the school for online questionnaire survey. The questionnaire survey is divided into objective and subjective parts. The objective data is selected by the students for five options for each topic, and the scoring adopts a fivepoint system. The subjective part is used as a qualitative analysis material to verify and supplement objective data. Through empirical calculations, the scores of each indicator and the weight of each indicator are obtained, as shown in Table 4 and Table 5 below:
Scores of indicators in the crosscultural competence evaluation model.
The Score of 17 Indicators  

E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
Weights of indicators in the crosscultural competence evaluation model
The weight of 17 Indicators  

E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
According to the SPSS evaluation results, the total score of the crosscultural competence of the civil aviation colleges and universities is 0.797, indicating that contemporary students have good crosscultural communication skills. At the same time, through the analysis of the indicators at the three levels, we can also see that there is still a lot of room for improvement in the crosscultural ability of students in civil aviation institutions, which requires the joint efforts of schools, teachers and students. Looking at the scores of the 17 indicators, 6 of them scored more than 1. The secondlevel indicator “Attitude to Foreign Culture” scored the highest overall. The three thirdlevel indicators under this indicator scored 1.362, 1.262 and 1.006, indicating that students of contemporary civil aviation institutions are tolerant and open in their attitudes towards foreign cultures. Such an equal and objective attitude also helps civil aviation practitioners to smoothly carry out international exchanges and cooperation in their daily work. The indicator of the second highest score is “the ability to interact with foreign cultures.” With the increase of crosscultural practice activities of contemporary college students, whether it is an international cooperation project, an international summer camp or a trip abroad, students are given more experience of crosscultural exchanges, which also forms a set of their own communication methods. In the interaction between the two cultures, learn to seek common ground while reserving differences, the score is 1.011. Based on an objective and open attitude to foreign culture and rich crosscultural practical experience, another indicator with a score of more than 1 is “aware of the cultural similarities and differences that exist when communicating with foreigners”. The score is 1.017, indicating that the school the crosscultural curriculum has played a positive and positive role in the formation of students’ crosscultural awareness.
Among the 17 specific indicators, 8 of them have scores between 0.5 and 1, indicating that at present, these aspects are okay, but there is still a lot of room for improvement. For example, the national knowledge and Understanding and indepth study of culture, because the country’s cultural knowledge is the basis of intercultural communication, which helps to promote the indepth development of intercultural communication. Secondly, in terms of improving crosscultural skills, we should further expand the methods and means of crosscultural communication, understand foreign cultures through conversations with locals, books, magazines, multimedia, etc., and dialectically view the similarities and differences between the two cultures. At the same time, the scores of the remaining three thirdlevel indicators of crosscultural awareness are 0.821, 0.753, and 0.855, respectively, indicating that the students of civil aviation colleges have certain crosscultural awareness, but they also need to continue to accumulate their own through continuous accumulation of crosscultural theory and practice humanities, cultivate international thinking.
The three indicators with lower scores belong to the category of “knowledge of crosscultural knowledge”. Among them, the two scores of “knowledge of foreign countries’ history, geography, and sociopolitical knowledge” and “knowledge of foreign country’s lifestyle and values” are both less than 0.1, indicating that everyone’s understanding of foreign cultures needs to be strengthened. On the one hand, schools need to take courses Starting from the aspect of setting up, setting up related compulsory and elective courses to increase students’ background knowledge, on the other hand, it also requires teachers to add a cultural section in the language classroom. After all, culture is part of the language, there is no corresponding cultural background to support, language learning The effect will be greatly reduced. The score of “Understanding strategies and techniques for successful crosscultural communication” is negative, indicating that the relevant strategies and techniques have not been well mastered by everyone. Good strategies and skills can be continuously acquired in daily experience, and at the same time, the concept of a scientific system needs to be formed through relevant theoretical learning. Strategies and techniques cannot be mastered in a day or two, and need to be repeatedly tested by theory and time to form a set of crosscultural communication systems suitable for you. Schools should also instill relevant strategies and skills for students through crosscultural courses and crosscultural practical activities. For civil aviation practitioners, how to better use crosscultural strategies and techniques is very important for the daily operation of civil aviation transportation, especially the operation of international routes and flights.
On the other hand, by categorizing and analyzing the results of the open questionnaire, it can be seen that the main difficulties faced by the students of civil aviation institutions in conducting crosscultural communication also come from the language itself, including Unsuitable, etc., this puts forward new requirements for basic English courses in civil aviation institutions. In the future teaching, as many diversified teaching methods as possible, with the help of modern teaching tools and equipment, strive to improve students’ English expression level. Although intercultural communication will be restricted due to language, culture and other factors, most students can solve these difficulties through body language and multichannel interpretation to achieve the purpose of communication.
This paper investigates the current situation of intercultural competence of civil aviation college students, and evaluates the comprehensive intercultural competence from both qualitative and quantitative aspects. There are deficiencies and areas for improvement. The evaluation results provide a theoretical reference for the establishment of crosscultural courses and English courses in civil aviation institutions. The innovation of this article lies in the introduction of the basic theory of language operators, the establishment of a crosscultural competence evaluation model system, the weighting of each level of the system and the final evaluation value. Through the reliability and validity analysis of the questionnaire with the help of SPSS statistical software, the evaluation process combining quantitative data and qualitative analysis ensures the scientificity and objectivity of the evaluation results. The evaluation method and evaluation model of crosscultural competence proposed in this paper provide the theoretical and practical basis for similar research in the future, and are of reference significance for the evaluation of other major students in other universities.
Rotate element matrix.
element 


1  2  3  4  5  6  
U111  .118  .206  .273  .112  .057  
U112  .247  .061  .231  .286  .044  
U121  .100  .117  .046  .287  .071  
U122  .110  .169  .125  .188  .052  
U123  .192  .207  −.048  .055  .150  
U211  .199  .125  .225  .241  .079  
U221  .157  .169  .012  .138  .112  
U222  .217  .241  .011  .196  .139  
U223  .331  .322  .122  .104  .066  
U311  .343  .135  .346  .065  .094  
U312  .319  .108  .291  .163  .181  
U313  .297  .263  .140  .084  .003  
U314  .326  .199  .207  .137  .026  
U411  .283  .081  .344  .106  .137  
U412  .294  .142  .218  .126  .037  
U413  .374  .173  .134  .206  .109  
U414  .390  .213  .210  .150  .144 
Rotate Matrix result 1.
Element 


1  2  3  4  5  6  7  8  
U111  0.176  0.306  0.148  0.171  0.126  −0.04  0.015  
U112  0.089  0.342  0.175  0.151  0.142  0.217  0.064  
U121  0.055  0.122  0.104  0.34  0.113  −0.005  −0.089  
U122  0.115  0.179  0.135  0.221  0.199  0.098  0.078  
U123  0.087  0.127  0.264  0.104  0.058  0.15  0.116  
U211  0.186  0.258  0.121  0.112  0.102  0.132  0.514  
U212  0.061  0.076  0.153  0.073  0.056  0.13  0.486  
U221  0.11  0.179  0.18  0.132  0.126  0.012  0.046  
U222  0.069  0.164  0.19  0.075  0.085  0.067  −0.06  
U223  0.035  0.154  0.087  0.054  0.213  0.261  −0.086  
U311  0.279  0.182  0.261  0.309  0.076  0.124  0.106  
U312  0.375  0.132  0.108  0.203  0.216  0.508  −0.028  
U313  0.286  0.162  0.157  0.152  0.187  0.189  −0.047  
U321  0.209  0.282  0.349  0.13  0.139  0.09  0.164  
U322  0.17  0.129  0.408  0.176  0.385  0.137  0.16  
U411  0.325  0.214  0.266  0.208  0.159  0.057  −0.053  
U412  0.138  0.227  0.302  0.401  0.201  0.228  0.202  
U421  0.246  0.311  0.248  0.046  0.286  0.164  −0.065  
U422  0.244  0.251  0.279  0.189  0.409  0.214  0.046  
U423  0.253  0.194  0.227  0.244  0.085  0.116  0.109 
Weights of indicators in the crosscultural competence evaluation model
The weight of 17 Indicators  

E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
Scores of indicators in the crosscultural competence evaluation model.
The Score of 17 Indicators  

E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
E( 
Evaluation System of Intercultural Ability of Civil Aviation College Students.
firstlevel indicator  secondlevel indicator  thirdlevel indicator 

Knowledge  Knowledge of national knowledge  Understand China’s history, geography, politics, and economic development and have its own knowledge and insights 
Understanding of crosscultural knowledge  Understand foreign history, geography and sociopolitical knowledge 

Atitude  Attitude towards national culture  Ability to accept national cultural values may be questioned and denied in foreign cultures 
Attitude towards foreign culture  Willing to treat other countries’ culture with an equal attitude, not excluding or obeying 

Skills  Ability to interact with foreign cultures  Be able to correctly recognize misunderstandings and obstacles in crosscultural communication 
Awareness  Crosscultural awareness  Be aware of the cultural similarities and differences that exist when communicating with foreigners 
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Modeling the pathway of breast cancer in the Middle East Corporate social responsibility fulfilment, productmarket competition and debt risk: Evidence from China ARMA analysis of the green innovation technology of core enterprises under the ecosystem – Time series data Reconstruction of multimodal aesthetic critical discourse analysis framework Image design and interaction technology based on Fourier inverse transform What does students’ experience of eportfolios suggest Research on China interregional industrial transformation slowdown and influencing factors of industrial transformation based on numerical simulation The medical health venture capital network community structure, information dissemination and the cognitive proximity Data mining of Chain convenience stores location The optimal model of employment and entrepreneurship models in colleges and universities based on probability theory and statistics A generative design method of building layout generated by path Parameter Id of Metal Hipressure State Equation Analysis of the causes of the influence of the industrial economy on the social economy based on multiple linear regression equation Research of neural network for weld penetration control PMatrix Reasoning and Information Intelligent Mining Intelligent Recommendation System for English Vocabulary Learning – Based on Crowdsensing Regarding new wave distributions of the nonlinear integropartial Ito differential and fifthorder integrable equations Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation Beam control method for multiarray antennas based on improved genetic algorithm The influence of X fuzzy mathematical method on basketball tactics scoring Application of regression function model based on panel data in bank resource allocation financial risk management Research on aerobics training posture motion capture based on mathematical similarity matching statistical analysis Application of SobolevVolterra projection and finite element numerical analysis of integral differential equations in modern art design Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of data mining in basketball statistics Application of Btheory for numerical method of functional differential equations in the analysis of fair value in financial accounting Badminton players’ trajectory under numerical calculation method Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audiovisual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Differenceindifferences test for micro effect of technological finance cooperation pilot in China Application of multiattribute decisionmaking methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanKA New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Research on the influencing factors of agricultural product purchase willingness in social ecommerce situation Study of a linearphysicalprogrammingbased approach for web service selection under uncertain service quality A mathematical model of plasmidcarried antibiotic resistance transmission in two types of cells Burnout of frontline city administrative lawenforcing personnel in new urban development areas: An empirical research in China Calculating university education model based on finite element fractional differential equations and macrocontrol analysis Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Adoption of deep learning Markov model combined with 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Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations Institutional investor company social responsibility report and company performance Mathematical analysis of China's birth rate and research on the urgency of deepening the reform of art education Firstprinciples calculations of magnetic and mechanical properties of Febased nanocrystalline alloy Fe_{80}Si_{10}Nb_{6}B_{2}Cu_{2} The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption MCM of Student’s Physical Health Based on Mathematical Cone Attitude control for the rigid 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concentrations in livestock housing Cognitive Computational Model Using Machine Learning Algorithm in Artificial Intelligence Environment Application of HigherOrder Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Informatisation of educational reform based on fractional differential equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis Research on the control of quantitative economic management variables under the numerical method based on stochastic ordinary differential equations Network monitoring and processing accuracy of big data acquisition based on mathematical model of fractional differential equation 3D 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data 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Children’s cognitive function and mental health based on finite element nonlinear mathematical model Motion about equilibrium points in the JupiterEuropa system with oblateness Fractional Differential Equations in Electronic Information Models Badminton players’ trajectory under numerical calculation method BIM Engineering Management Oriented to Curve Equation Model Optimal preview repetitive control for impulsefree continuoustime descriptor systems Development of main functional modules for MVB and its application in rail transit Study on the impact of forest fire prevention policy on the health of forest resources Mathematical Method to Construct the Linear Programming of Football Training The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Value Creation of Real Estate Company Spinoff Property Service Company Listing Selection by differential mortality rates Digital model creation and image meticulous processing based on variational partial differential equation Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multiregression Model of Informationbased Teaching The modelling and implementation of the virtual 3D animation scene based on the geometric centreofmass algorithm The policy efficiency evaluation of the Beijing–Tianjin–Hebei regional government guidance fund based on the entropy method The transfer of stylised artistic images in eye movement experiments based on fuzzy differential equations Research on behavioural differences in the processing of tenant listing information: An eyemovement experiment A review of the treatment techniques of VOC Some classes of complete permutation polynomials in the form of ( x ^{pm} −x +δ )^{s} +ax ^{pm} +bx overF _{p2m}The consistency method of linguistic information and other four preference information in group decisionmaking Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement Fractal structure of magnetic island in tokamak plasma Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put Sports intensity and energy consumption based on fractional linear regression equation Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Study on Establishment and Improvement Strategy of Aviation Equipment Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Nonlinear strategic human resource management based on organisational mathematical model Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Crossborder Ecommerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Fractional Differential Equations in Sports Training in Universities Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model