Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem


Authors

Jianjian Chen - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Xianjiu Huang - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China.


Abstract

The concept of hesitant triangular intuitionistic fuzzy sets (HTIFSs) presented in this paper is based upon hesitant fuzzy sets and triangular intuitionistic fuzzy numbers (TIFNs). We have developed some hesitant triangular intuitionistic fuzzy aggregation operators and standardized hesitant triangular intuitionistic fuzzy aggregation operators. Inspired by Li et al. [D.-Q. Li, W.- Y. Zeng, Y.-B. Zhao, Inform. Sci., 321 (2015), 103–115], the distance measures of hesitant triangular intuitionistic fuzzy sets are given, in order to explore the applications of which we have proposed three methods of multi-attribute decision making (MADM) problems, as well as analysis of the comparison between those methods, thus we give an example to illustrate these methods’ applicability and availability.


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ISRP Style

Jianjian Chen, Xianjiu Huang, Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1012--1029

AMA Style

Chen Jianjian, Huang Xianjiu, Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem. J. Nonlinear Sci. Appl. (2017); 10(3):1012--1029

Chicago/Turabian Style

Chen, Jianjian, Huang, Xianjiu. "Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1012--1029


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