Uneingeschränkter Zugang

An Incomplete Soft Set and Its Application in MCDM Problems with Redundant and Incomplete Information


Zitieren

Akram, M., Shumaiza and Arshad, M. (2020). Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis, Computational and Applied Mathematics 39(1), Article no. 7. Search in Google Scholar

Alkhazaleh, S. and Salleh, A.R. (2012). Generalised interval-valued fuzzy soft set, Journal of Applied Mathematics 2012, Article no. 870504. Search in Google Scholar

Chen, D.G., Tsang, E.C.C., Yeung, D.S. and Wang, X.Z. (2005). The parameterization reduction of soft sets and its applications, Computers and Mathematics with Applications 49(5–6): 757–763.10.1016/j.camwa.2004.10.036 Search in Google Scholar

Das, S., Kar, M.B., Kar, S. and Pal, T. (2018). An approach for decision making using intuitionistic trapezoidal fuzzy soft set, Annals of Fuzzy Mathematics and Informatics 16(1): 99–116.10.30948/afmi.2018.16.1.99 Search in Google Scholar

Deng, T. and Wang, X. (2013). An object-parameter approach to predicting unknown data in incomplete fuzzy soft sets, Applied Mathematical Modelling 37(6): 4139–4146.10.1016/j.apm.2012.09.010 Search in Google Scholar

Garg, H. and Arora, R. (2018). Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making, Journal of the Operational Research Society 69(11): 1711–1724.10.1080/01605682.2017.1409159 Search in Google Scholar

Gau, W.L. and Buehrer, D.J. (1993). Vague sets, IEEE Transactions on Systems Man and Cybernetics 23(2): 610–614.10.1109/21.229476 Search in Google Scholar

Goguen, J.A. (1967). L-fuzzy sets, Journal of Mathematical Analysis and Applications 18(1): 145–174.10.1016/0022-247X(67)90189-8 Search in Google Scholar

Gong, K., Wang, P. and Peng, Y. (2017). Fault-tolerant enhanced bijective soft set with applications, Applied Soft Computing 54: 431–439.10.1016/j.asoc.2016.06.009 Search in Google Scholar

Gong, K., Xiao, Z. and Zhang, X. (2010). The bijective soft set with its operations, Computers and Mathematics with Applications 60(8): 2270–2278.10.1016/j.camwa.2010.08.017 Search in Google Scholar

Hong, D.H. and Choi, C.H. (2000). Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems 114(1): 103–113.10.1016/S0165-0114(98)00271-1 Search in Google Scholar

Inbarani, H.H., Kumar, S.U., Azar, A.T. and Hassanien, A.E. (2018). Hybrid rough-bijective soft set classification system, Neural Computing and Applications 29(8): 67–78.10.1007/s00521-016-2711-z Search in Google Scholar

Jiang, Y., Tang, Y., Chen, Q., Liu, H. and Tang, J. (2010). Interval-valued intuitionistic fuzzy soft sets and their properties, Computers and Mathematics with Applications 60(3): 906–918.10.1016/j.camwa.2010.05.036 Search in Google Scholar

Khan, A. and Zhu, Y. (2020). New algorithms for parameter reduction of intuitionistic fuzzy soft sets, Computational and Applied Mathematics 39(3), Aricle no. 232. Search in Google Scholar

Kong, Z., Gao, L.Q., Wang, L.F. and Li, S. (2008). The normal parameter reduction of soft sets and its algorithm, Computers and Mathematics with Applications 56(12): 3029–3037.10.1016/j.camwa.2008.07.013 Search in Google Scholar

Kryszkiewicz, M. (1999). Rules in incomplete information systems, Information Sciences 113(3–4): 271–292.10.1016/S0020-0255(98)10065-8 Search in Google Scholar

Li, M.-Y., Fan, Z.-P. and You, T.-H. (2018). Screening alternatives considering different evaluation index sets: A method based on soft set theory, Applied Soft Computing 64: 614–626.10.1016/j.asoc.2017.12.037 Search in Google Scholar

Li, Z., Wen, G. and Xie, N. (2015). An approach to fuzzy soft sets in decision making based on grey relational analysis and Dempster–Shafer theory of evidence: An application in medical diagnosis, Artificial Intelligence in Medicine 64(3): 161–71.10.1016/j.artmed.2015.05.002 Search in Google Scholar

Liu, Y., Qin, K., Rao, C. and Mahamadu Alhaji, M. (2017). Object-parameter approaches to predicting unknown data in an incomplete fuzzy soft set, International Journal of Applied Mathematics and Computer Science 27(1): 157–167, DOI: 10.1515/amcs-2017-0011.10.1515/amcs-2017-0011 Search in Google Scholar

Maji, P.K. and Roy, A.R. (2002). An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44(8-9): 1077–1083.10.1016/S0898-1221(02)00216-X Search in Google Scholar

Majumdar, P. and Samanta, S.K. (2010). Generalised fuzzy soft sets, Computers and Mathematics with Applications 59(4): 1425–1432.10.1016/j.camwa.2009.12.006 Search in Google Scholar

Meng, D., Zhang, X. and Qin, K. (2011). Soft rough fuzzy sets and soft fuzzy rough sets, Computers and Mathematics with Applications 62(12): 4635–4645.10.1016/j.camwa.2011.10.049 Search in Google Scholar

Molodtsov, D. (1999). Soft set theory—first results, Computers and Mathematics with Applications 37(4–5): 19–31.10.1016/S0898-1221(99)00056-5 Search in Google Scholar

Pawlak, Z. (1984). Rough classification, International Journal of Man-Machine Studies 20(5): 469–483.10.1016/S0020-7373(84)80022-X Search in Google Scholar

Pawlak, Z. (1985). Rough sets and decision tables, in A. Skowron (Ed.), Computation Theory. SCT 1984, Lecture Notes in Computer Science, Vol. 208, Springer, Berlin, pp. 187–196.10.1007/3-540-16066-3_18 Search in Google Scholar

Peng, X. and Yang, Y. (2017). Algorithms for interval-valued fuzzy soft sets in stochastic multi-criteria decision making based on regret theory and prospect theory with combined weight, Applied Soft Computing 54: 415–430.10.1016/j.asoc.2016.06.036 Search in Google Scholar

Petchimuthu, S., Garg, H., Kamaci, H. and Atagun, A.O. (2020). The mean operators and generalized products of fuzzy soft matrices and their applications in MCGDM, Computational and Applied Mathematics 39(2), Article no. 68. Search in Google Scholar

Qin, H., Ma, X., Herawan, T. and Zain, J.M. (2012). DFIS: A novel data filling approach for an incomplete soft set, International Journal of Applied Mathematics and Computer Science 22(4): 817–828, DOI: 10.2478/v10006-012-0060-3.10.2478/v10006-012-0060-3 Search in Google Scholar

Roy, A.R. and Maji, P.K. (2007). A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics 203(2): 412–418.10.1016/j.cam.2006.04.008 Search in Google Scholar

Sun, B., Zhang, M., Wang, T. and Zhang, X. (2020). Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method, Computational and Applied Mathematics 39(3), Article no. 186. Search in Google Scholar

Tiwari, V., Jain, P.K. and Tandon, P. (2017). A bijective soft set theoretic approach for concept selection in design process, Journal of Engineering Design 28(2): 100–117.10.1080/09544828.2016.1274718 Search in Google Scholar

Tiwari, V., Jain, P.K. and Tandon, P. (2019). An integrated Shannon entropy and TOPSIS for product design concept evaluation based on bijective soft set, Journal of Intelligent Manufacturing 30(4): 1645–1658.10.1007/s10845-017-1346-y Search in Google Scholar

Xu, W., Pan, Y., Chen, W. and Fu, H. (2019). Forecasting corporate failure in the Chinese energy sector: A novel integrated model of deep learning and support vector machine, Energies 12(12), Article no. 2251. Search in Google Scholar

Yang, J. and Yao, Y. (2020). Semantics of soft sets and three-way decision with soft sets, Knowledge-Based Systems 194, Article no. 105538. Search in Google Scholar

Zadeh, L.A. (1965). Fuzzy sets, Information and Control 8(3): 338–353.10.1016/S0019-9958(65)90241-X Search in Google Scholar

Zhang, Z.M. and Zhang, S.H. (2013). A novel approach to multi attribute group decision making based on trapezoidal interval type-2 fuzzy soft sets, Applied Mathematical Modelling 37(7): 4948–4971.10.1016/j.apm.2012.10.006 Search in Google Scholar

Zou, Y. and Xiao, Z. (2008). Data analysis approaches of soft sets under incomplete information, Knowledge-Based Systems 21(8): 941–945.10.1016/j.knosys.2008.04.004 Search in Google Scholar

eISSN:
2083-8492
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Angewandte Mathematik