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Article

A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making

by
Deng-Feng Li
and
Jie Yang
*
China School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou, Fujian 350108, China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2015, 20(1), 25-38; https://doi.org/10.3390/mca20010038
Published: 1 April 2015
Versions Notes

Abstract

The order relation of fuzzy number is important in decision making and optimization modeling, and ranking fuzzy numbers is difficult in nature. Ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) is more difficult due to the fact that the TrIFNs are a generalization of the fuzzy numbers. The aim of this paper is to develop a new methodology for ranking TrIFNs. We define the value-index and ambiguity-index based on the value and ambiguity of the membership and non-membership functions, and then propose a difference-index based ranking method, which is applied to multiattribute decision making (MADM) problems. The proposed method is compared to show its advantages and applicability.
Keywords: Trapezoidal intuitionistic fuzzy number; fuzzy set; ranking method; fuzzy decision making Trapezoidal intuitionistic fuzzy number; fuzzy set; ranking method; fuzzy decision making

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MDPI and ACS Style

Li, D.-F.; Yang, J. A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making. Math. Comput. Appl. 2015, 20, 25-38. https://doi.org/10.3390/mca20010038

AMA Style

Li D-F, Yang J. A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making. Mathematical and Computational Applications. 2015; 20(1):25-38. https://doi.org/10.3390/mca20010038

Chicago/Turabian Style

Li, Deng-Feng, and Jie Yang. 2015. "A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making" Mathematical and Computational Applications 20, no. 1: 25-38. https://doi.org/10.3390/mca20010038

APA Style

Li, D. -F., & Yang, J. (2015). A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making. Mathematical and Computational Applications, 20(1), 25-38. https://doi.org/10.3390/mca20010038

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