Multi-Attribute Decision-Making Method Applying A Novel Correlation Coefficient of Interval-Valued Neutrosophic Hesitant Fuzzy Sets
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
Interval-valued neutrosophic hesitant fuzzy set (IVNHFS) is an extension of neutrosophic set (NS) andhesitant fuzzy set (HFS), each element of which has truth membership hesitant function, indeterminacymembership hesitant function and falsity membership hesitant function and the values of these functions liein several possible closed intervals in the real unit interval [0,1]. In contrast with NS and HFS, IVNHFS can bemore flexibly used to deal with uncertain, incomplete, indeterminate, inconsistent and hesitant information. In this study, I propose the novel correlation coefficient of IVNHFSs and my paper discusses its properties. Then, based on the novel correlation coefficient, I develop an approach to deal with multi-attribute decisionmakingproblems within the framework of IVNHFS. In the end, a practical example is used to show that theapproach is reasonable and effective in dealing with decision-making problems.
Abstract
Interval-valued neutrosophic hesitant fuzzy set (IVNHFS) is an extension of neutrosophic set (NS) andhesitant fuzzy set (HFS), each element of which has truth membership hesitant function, indeterminacymembership hesitant function and falsity membership hesitant function and the values of these functions liein several possible closed intervals in the real unit interval [0,1]. In contrast with NS and HFS, IVNHFS can bemore flexibly used to deal with uncertain, incomplete, indeterminate, inconsistent and hesitant information. In this study, I propose the novel correlation coefficient of IVNHFSs and my paper discusses its properties. Then, based on the novel correlation coefficient, I develop an approach to deal with multi-attribute decisionmakingproblems within the framework of IVNHFS. In the end, a practical example is used to show that theapproach is reasonable and effective in dealing with decision-making problems.
참고문헌 (25)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8(3), pp.338~353 (1965)
- L. A. Zadeh, "Is there a need for fuzzy logic?", Information Sciences, 178(13), pp.2751~2779 (2008)
- J. A. Goguen, "L-fuzzy sets", Journal of Mathematical Analysis and Applications, 18(1), pp.145~174 (1967)
- K. Atanassov, "Interval valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 31(3), pp.343~349 (1989)
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1), pp.87~96 (1986)
- V. Torra, "Hesitant fuzzy sets", International Journal of Intelligent Systems, 25(6), pp.529~539 (2010)
- F. Smarandache, "Smarandache, A Unifying Field in Logics : Neutrosophic Logic : Neutrosophy, Neutrosophic Set, Neutrosophic Probability" (1999), American Research Press
- H. Wang, "Sunderraman, Interval Neutrosophic Sets and Logic : Theory and Applications in Computing" (2005), Hexis
- H. Wang, "Single valued neutrosophic sets", Multispace Multistruction, 4, pp.410~413 (2010)
- J. Ye, "A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets", Journal of Intelligent & Fuzzy Systems, 26(5), pp.2459~2466 (2014)
- P. Liu, "Multiple attribute decision making method based on normal neutrosophic generalized weighted power averaging operator", International Journal of Machine Learning and Cybernetics, 9(2), pp.281~293 (2018)
- J. Ye, "Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment", International Journal of General Systems, 42(4), pp.386~394 (2013)
- C. Liu, "The weighted distance measure based method to neutrosophic multiattribute group decision making", Mathematical Problems in Engineering, pp.3145341~ (2016)
- Y. Zhai, "Measures of probabilistic interval-valued intuitionistic hesitant fuzzy sets and the application in reducing excessive medical examinations", IEEE Transactions on Fuzzy Systems, 26(3), pp.1651~1670 (2018)
- X. Yang, "Correlation coefficients of hesitant multiplicative sets and their applications in decision making and clustering analysis", Applied Soft Computing, 61, pp.935~946 (2017)
- N. Chen, "Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis", Applied Mathematical Modelling, 37(4), pp.2197~2211 (2013)
- J. Q. Wang, "TODIM method with multi-valued neutrosophic sets", Control and Decision, 30(6), pp.1139~1142 (2015)
- J. J. Peng, "An extension of the ELECTRE approach with multi-valued neutrosophic information", Neural Computing and Applications, 28(1), pp.1011~1022 (2017)
- P. Liu, "The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making", Neural Computing and Applications, 26(2), pp.457~471 (2015)
- F. Karaaslan, "Correlation coefficients of single-valued neutrosophic refined soft sets and their applications in clustering analysis", Neural Computing and Applications, 28(9), pp.2781~2793 (2017)
- L. Shi, "Correlation coefficient of simplified neutrosophic sets for bearing fault diagnosis", Shock and Vibration, 2016, pp.5414361~ (2016)
- R. Sahin, "Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making", Neural Computing and Applications, 28(6), pp.1387~1395 (2017)
- F. Meng, "Correlation coefficients of hesitant fuzzy sets and their application based on fuzzy measures", Cognitive Computation, 7(4), pp.445~463 (2015)
- J. Ye, "Correlation coefficient of dual hesitant fuzzy sets and its application to multiple attribute decision making", Applied Mathematical Modelling, 38(2), pp.659~666 (2014)
- J. Ye, "Correlation coefficients of interval neutrosophic hesitant fuzzy sets and its application in a multiple attribute decision making method", Informatica, 27(1), pp.179~202 (2016)
