The safety culture of shipping enterprises is the sum of the spirits, ideas, behaviors, and physical states of safe production, safe life, and environmental protection created by all related industries in the shipping industry in the shipping production activities. At the same time, it is the embodiment of the integration of maritime safety values and maritime safety code of conduct [1]. Coastal, atomic energy, shipping, and other industries have publicly stated that they want to achieve a globalized safety culture atmosphere, which has gradually confirmed the importance of safety culture. Safety culture first appeared in the International Nuclear Safety Advisory Group report on the 1986 “Chernobyl disaster.” It describes the corporate climate or culture that safety should be understood, accepted, and the highest priority. Safety culture is a subsection of the corporate culture. It is a characteristic of an individual, job, organization, etc., that affects health and safety. In 1991, the 75-INSAG-4 report “Safety Culture” prepared by the International Safety Advisory Group was published, marking the official dissemination and practice of safety culture in countries worldwide. In March 1994, the Nuclear Emergency Response Office of the State Council and the China Nuclear Energy Society jointly held the “Symposium on Safety Culture” to advance the study of safety culture. Since then, China has gradually introduced and promoted this concept in nuclear power, transportation, construction, petrochemical, metallurgy, and other fields [2]. At present, the upsurge of research and construction of safety culture is rising in China.

Shipping companies cover a wide range of areas. The content includes shipowners, shipping operating companies, classification societies, chartering companies, shipbuilding companies, pilotage, marine product manufacturing, cargo owners, maritime courts, maritime arbitration institutions, etc. This is the main body of the safety culture of shipping enterprises. The decision-making management is the leader of the safety culture in the shipping enterprise [3]. Their safe behavior practices will lead to the effectiveness of the entire enterprise's safety culture construction. The company's working environment, daily operation management, reward and punishment system, safety assurance control, and the implementation of corporate safety activities all play a decisive role in the construction of an enterprise's safety culture—twenty main characteristics of safety culture in shipping companies. The content is shown in Table 1.

Elements of safety culture in shipping companies

Safety Commitment U1 | Security commitment content | u11 |

safety report | u12 | |

Safety integrated into management | u13 | |

Security Incentives | u14 | |

Security Agency U2 | The role of the full-time security sector | u21 |

Other regulatory roles | u22 | |

The role of amateur safety organizations | u23 | |

Awareness of safety management regulations | u31 | |

Security Management U3 | Security system document implementation | u32 |

Clarify the responsibilities of the safety management organization | u33 | |

Safe participation in U4 | How security systems are formed | u41 |

Safety Meetings and Safety Events | u42 | |

Security advice | u43 | |

Safety training and learning | u44 | |

safety feedback | u45 | |

Safe Environment U5 | Safety Guidelines | u51 |

Security | u52 | |

environmental perception | u53 | |

Security Information Management U6 | Safety Information Repository | u61 |

safety information system | u62 | |

Demonstration of safety performance | u63 | |

Safe Practice U7 | Investigate Types of Incidents | u71 |

Security Check Type Awareness | u72 | |

Safe exchange and cooperation | u73 | |

security emergency plan | u74 | |

Safety Incentive U8 | Humanistic care | u81 |

Treatment of safety performance | u82 | |

Incorporate safety performance into human resources assessment | u83 | |

Security System Persistence | u84 |

U represents the evaluation factors: U1: safety commitment; U2: safety organization; U3: safety management; U4: safety participation; U5: safety environment; U6: safety information management; U7: safety practice; U8: safety incentive.

We use international conventions to select the appropriate set of comments A. _{0}, _{1}, _{2}, _{3}} = {no risk, yellow risk, orange risk, red risk}

Factor weights reflect the internal relationship between the elements. The consequences reflect the importance of each factor in the whole aspect [4]. The weight vector is denoted as _{0}, _{1},..., _{8}}. At present, there are many methods to measure the weight, such as AHP, Delphi, scoring method, principal component analysis method, assignment method, and so on.

According to the evaluation results of the evaluators on the evaluation object, the proportion of each evaluation level of each factor is calculated. At this point we get the blur matrix R.

Where

We can obtain the comprehensive evaluation matrix B according to the above weight vector A and fuzzy matrix R:

The weighted average algorithm is used here:

First, the comprehensive evaluation results are normalized. Use

Comparison of evaluation results and comment levels

Rating Comments | Comprehensive evaluation value |
---|---|

A (No risk) | 90–100 |

B (yellow risk) | 80–90 |

C (orange risk) | 60–80 |

D (red risk) | 0–60 |

The probability _{i}

Then the fuzzy subset

_{0}, _{1}, _{2}, _{3} is the membership degree of the maritime traffic safety risk status to no risk, yellow risk, orange risk, and red risk level, respectively.

We use the fuzzy information allocation method to obtain the marine traffic safety risk matrix [6]. We take the 4–80,000-ton bulk carrier as an example to calculate the maritime traffic safety risk matrix when the visibility distance is 1/5<W≤2/5. Under this visibility distance, the possible value range U of ship traffic flow density is:

The domain V of the maritime traffic safety risk index is

Then we use the two-dimensional information distribution formula to obtain the fuzzy relation matrix R from U to V. A total of 133 data were obtained in this group of sample point set H when the visibility distance of 40,000 to 80,000-ton bulk carriers was 1/5<W≤2/5. We denote it as _{1}, _{2}, ⋯, _{g}_{134}. Then, the average value of the sample points under each risk level is calculated as

From the step size formula

At this point, we get the new discrete value universe of traffic flow density as

_{n}_{g}_{p}

We assume that there are _{e}_{e}_{e}_{e}_{p}_{e}_{p}_{+1}, then the information amount _{e}_{p}_{e}_{p}_{+1}) that distributes _{e}_{p}_{p}_{+1} is expressed as follows

We use fuzzy subsets to define marine traffic safety risk levels. After normalization, the amount of information that each risk level _{0} ~ _{3} of marine traffic is assigned to each marine traffic risk index value _{k}_{e}_{e}_{e}_{p}_{k}

Risk Matrix from Theoretical Calculations

up/vk | 0 | 0.04 | 1.08 | 2.12 | 3.15 | 4.19 |
---|---|---|---|---|---|---|

0 | 1 | 0.62 | 0 | 0 | 0 | 0 |

0.1 | 0.89 | 0.62 | 0.01 | 0 | 0 | 0 |

0.2 | 0.59 | 0.67 | 0.22 | 0.06 | 0 | 0 |

0.3 | 0.17 | 0.26 | 0.61 | 0.11 | 0.01 | 0 |

0.4 | 0 | 0.15 | 1 | 0.31 | 0.04 | 0.01 |

0.5 | 0 | 0.13 | 0.76 | 0.65 | 0.06 | 0.02 |

0.6 | 0 | 0.04 | 0.32 | 0.66 | 0.16 | 0.03 |

0.7 | 0 | 0 | 0.1 | 0.67 | 0.32 | 0.17 |

0.8 | 0 | 0 | 0.01 | 0.21 | 0.55 | 0.59 |

0.9 | 0 | 0 | 0 | 0.06 | 0.66 | 0.76 |

1 | 0 | 0 | 0 | 0 | 0.76 | 0.66 |

Academia organizes surveys and discussions with navigators or senior captains with rich sailing experience [10]. They directly give the degree of affiliation of the ship to different levels of risk when sailing in various severe weather according to the common practice and professional judgment of seafarers. Table 4 shows the risk matrix of 4–80,000-ton bulk carriers under the visibility distance of 0.2–0.4 mile weather obtained by using the expert survey method.

Risk matrix from expert survey method

Traffic density/[ship·(mile)^{−2}] |
Risk level | |||
---|---|---|---|---|

A0 | A1 | A2 | A3 | |

0 | 0.9 | 0.1 | 0 | 0 |

(0,0.5) | 0 | 0.8 | 0.2 | 0 |

[0.5, 1.0) | 0 | 0.7 | 0.3 | 0 |

[1.0, 2.0) | 0 | 0.5 | 0.4 | 0.1 |

[2.0, 3.0) | 0 | 0.1 | 0.6 | 0.3 |

≥3.0 | 0 | 0 | 0.3 | 0.7 |

Table 4 shows the risk matrix of 4–80,000-ton bulk carriers in the weather with a 0.2–0.4 mile visibility distance from the expert survey method modified by the fuzzy information allocation method for the above results. It can be seen that the membership degrees of the revised risk levels are further concentrated [11]. The variability in the spatial distribution of risk increases. A change in _{p}

Risk Matrix for Modified Expert Survey

Traffic density/[ship·(mile)^{−2}] |
Risk level | |||
---|---|---|---|---|

A0 | A1 | A2 | A3 | |

0 | 0.9 | 0.1 | 0 | 0 |

(0,0.5) | 0.2 | 0.8 | 0 | 0 |

[0.5, 1.0) | 0.1 | 0.7 | 0.2 | 0 |

[1.0, 2.0) | 0 | 0.4 | 0.5 | 0.1 |

[2.0, 3.0) | 0 | 0.1 | 0.6 | 0.3 |

≥3.0 | 0 | 0 | 0.2 | 0.8 |

We simulate fuzzy evaluation instances according to the above method. First, we determine the factor set _{0}, _{1},..., _{8}}. Second, we determine the comment set _{0}, _{1}, _{2}, _{3}}. Then we define the evaluation factor weights. Here, the importance of each factor is measured as

The proportion of evaluation factors in the comment set

A (No risk) | B (yellow risk) | C (orange risk) | D (red risk) | |
---|---|---|---|---|

Safety Commitment U1 | 0.8 | 0.12 | 0.06 | 0.02 |

Security Agency U2 | 0.75 | 0.15 | 0.1 | 0 |

Security Management U3 | 0.65 | 0.1 | 0.2 | 0.05 |

Safe participation in U4 | 0.6 | 0.2 | 0.1 | 0.1 |

Safe Environment U5 | 0.7 | 0.15 | 0.05 | 0.1 |

Security Information Management U6 | 0.8 | |||

Safe Practice U7 | 0.8 | 0.1 | 0.1 | 0 |

Safety Incentive U8 | 0.6 | 0.3 | 0.1 | 0 |

We calculate the comprehensive evaluation result

The construction of safety culture mainly uses the penetration and influence of safety culture to assist safety management. This paper introduces the implementation mode of safety culture construction of the International Nuclear Safety Advisory Group to discuss and analyze the implementation direction of safety culture in shipping enterprises. Finally, an example is given to illustrate the evaluation method for evaluating the effectiveness of the construction of Shipping enterprise safety culture.

#### Risk Matrix from Theoretical Calculations

up/vk | 0 | 0.04 | 1.08 | 2.12 | 3.15 | 4.19 |
---|---|---|---|---|---|---|

0 | 1 | 0.62 | 0 | 0 | 0 | 0 |

0.1 | 0.89 | 0.62 | 0.01 | 0 | 0 | 0 |

0.2 | 0.59 | 0.67 | 0.22 | 0.06 | 0 | 0 |

0.3 | 0.17 | 0.26 | 0.61 | 0.11 | 0.01 | 0 |

0.4 | 0 | 0.15 | 1 | 0.31 | 0.04 | 0.01 |

0.5 | 0 | 0.13 | 0.76 | 0.65 | 0.06 | 0.02 |

0.6 | 0 | 0.04 | 0.32 | 0.66 | 0.16 | 0.03 |

0.7 | 0 | 0 | 0.1 | 0.67 | 0.32 | 0.17 |

0.8 | 0 | 0 | 0.01 | 0.21 | 0.55 | 0.59 |

0.9 | 0 | 0 | 0 | 0.06 | 0.66 | 0.76 |

1 | 0 | 0 | 0 | 0 | 0.76 | 0.66 |

#### Risk Matrix for Modified Expert Survey

Traffic density/[ship·(mile)^{−2}] |
Risk level | |||
---|---|---|---|---|

A0 | A1 | A2 | A3 | |

0 | 0.9 | 0.1 | 0 | 0 |

(0,0.5) | 0.2 | 0.8 | 0 | 0 |

[0.5, 1.0) | 0.1 | 0.7 | 0.2 | 0 |

[1.0, 2.0) | 0 | 0.4 | 0.5 | 0.1 |

[2.0, 3.0) | 0 | 0.1 | 0.6 | 0.3 |

≥3.0 | 0 | 0 | 0.2 | 0.8 |

#### Comparison of evaluation results and comment levels

Rating Comments | Comprehensive evaluation value |
---|---|

A (No risk) | 90–100 |

B (yellow risk) | 80–90 |

C (orange risk) | 60–80 |

D (red risk) | 0–60 |

#### The proportion of evaluation factors in the comment set

A (No risk) | B (yellow risk) | C (orange risk) | D (red risk) | |
---|---|---|---|---|

Safety Commitment U1 | 0.8 | 0.12 | 0.06 | 0.02 |

Security Agency U2 | 0.75 | 0.15 | 0.1 | 0 |

Security Management U3 | 0.65 | 0.1 | 0.2 | 0.05 |

Safe participation in U4 | 0.6 | 0.2 | 0.1 | 0.1 |

Safe Environment U5 | 0.7 | 0.15 | 0.05 | 0.1 |

Security Information Management U6 | 0.8 | |||

Safe Practice U7 | 0.8 | 0.1 | 0.1 | 0 |

Safety Incentive U8 | 0.6 | 0.3 | 0.1 | 0 |

#### Elements of safety culture in shipping companies

Safety Commitment U1 | Security commitment content | u11 |

safety report | u12 | |

Safety integrated into management | u13 | |

Security Incentives | u14 | |

Security Agency U2 | The role of the full-time security sector | u21 |

Other regulatory roles | u22 | |

The role of amateur safety organizations | u23 | |

Awareness of safety management regulations | u31 | |

Security Management U3 | Security system document implementation | u32 |

Clarify the responsibilities of the safety management organization | u33 | |

Safe participation in U4 | How security systems are formed | u41 |

Safety Meetings and Safety Events | u42 | |

Security advice | u43 | |

Safety training and learning | u44 | |

safety feedback | u45 | |

Safe Environment U5 | Safety Guidelines | u51 |

Security | u52 | |

environmental perception | u53 | |

Security Information Management U6 | Safety Information Repository | u61 |

safety information system | u62 | |

Demonstration of safety performance | u63 | |

Safe Practice U7 | Investigate Types of Incidents | u71 |

Security Check Type Awareness | u72 | |

Safe exchange and cooperation | u73 | |

security emergency plan | u74 | |

Safety Incentive U8 | Humanistic care | u81 |

Treatment of safety performance | u82 | |

Incorporate safety performance into human resources assessment | u83 | |

Security System Persistence | u84 |

#### Risk matrix from expert survey method

Traffic density/[ship·(mile)^{−2}] |
Risk level | |||
---|---|---|---|---|

A0 | A1 | A2 | A3 | |

0 | 0.9 | 0.1 | 0 | 0 |

(0,0.5) | 0 | 0.8 | 0.2 | 0 |

[0.5, 1.0) | 0 | 0.7 | 0.3 | 0 |

[1.0, 2.0) | 0 | 0.5 | 0.4 | 0.1 |

[2.0, 3.0) | 0 | 0.1 | 0.6 | 0.3 |

≥3.0 | 0 | 0 | 0.3 | 0.7 |

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Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval 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 research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation MCM of Student’s Physical Health Based on Mathematical Cone Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing 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 Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Mathematical function data model analysis and synthesis system based on short-term human movement Human gait modelling and tracking based on motion functionalisation The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate Differential equation model of financial market stability 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Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G ) on the set of maximal subgroups ofp -groupsThe internal mechanism of corporate social responsibility fulfillment affecting debt risk in China: analysis of intermediary transmission effect based on degree of debt concentration and product market competitive advantage Study on transmission characteristics in three kinds of deformed finlines based on edge-based finite element method Asymptotic stability problem of predator–prey system with linear diffusion Research on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Research on threat assessment problems of island air defence system based on the leader-follower model Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Study on inefficient land use determination method for cities and towns from a city examination perspective A sentiment analysis method based on bidirectional long short-term memory networks Evaluation of ecosystem health in Futian mangrove wetland based on the PSR-AHP model A study of local smoothness-informed convolutional neural network models for image inpainting Towards more efficient control of the ironmaking blast furnace: modelling gaseous reduction of iron ores in H _{2}-N_{2}atmosphereAlgorithm of overfitting avoidance in CNN based on maximum pooled and weight decay Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model