A new ranking approach for interval valued intuitionistic fuzzy sets and its application in decision making

被引：0

作者：

Talukdar P. ^{[1
]}

Dutta P. ^{[1
]}

机构：

[1] Dibrugarh University, Dibrugarh

来源：

International Journal of Fuzzy System Applications | 2019年 / 8卷 / 02期

关键词：

Accuracy Function; Interval Valued Intuitionistic Fuzzy Sets; Multi Criteria Decision Making Method; Ranking Method;

D O I：

10.4018/IJFSA.2019040105

中图分类号：

学科分类号：

摘要：

Ranking of interval valued intuitionistic fuzzy sets (IVIFSs) plays an important role because of its attraction and applicability to model uncertainty in real life problems. In this article, an attempt has been made to devise a new method for ranking of IVIFSs based on exponential function. The significance of the method is illustrated with the help of some numerical examples and the results are compared with other existing methods. Furthermore, a multi criteria decision making method is presented here to evaluate the final ranking of the alternatives using the proposed ranking method and discussed the consistency of so obtained results. Copyright © 2019, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited.

引用

页码：89 / 104

页数：15

共 36 条

[1]

An J.J., Li D.F., Nan J.X., A mean-area ranking based non-linear programming approach to solve intuitionistic fuzzy bi-matrix games, Journal of Intelligent & Fuzzy Systems, 33, 1, pp. 563-573, (2017)

[2]

Atanassov K., Gargov G., Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 3, pp. 343-349, (1989)

[3]

Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1, pp. 87-96, (1986)

[4]

Bustine H., Burillo P., Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems, 79, 3, pp. 403-405, (1996)

[5]

Chen S.M., Tan J.M., Handling multi-criteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 67, 2, pp. 163-172, (1994)

[6]

Chen T.Y., An outcome-oriented approach to multicriteria decision analysis with intuitionistic fuzzy optimistic/pessimistic operators, Expert Systems with Applications, 37, 12, pp. 7762-7774, (2010)

[7]

Garg H., A new generalized improved score function of interval valued intuitionistic fuzzy sets and applications in expert systems, Applied Soft Computing, 38, pp. 988-999, (2016)

[8]

Gau W.L., Buehrer D.J., Vague sets, IEEE Transactions on Systems, Man, and Cybernetics, 23, 2, pp. 610-614, (1993)

[9]

Gorzaleczany M.B., A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21, 1, pp. 1-17, (1987)

[10]

Hao Y.H., Chen X.G., Study on the ranking problems in multiple attribute decision making based on interval-valued intuitionistic fuzzy numbers, International Journal of Intelligent Systems, 33, 3, pp. 560-572, (2017)

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