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Math. Comput. Appl. 2015, 20(1), 25-38; doi:10.3390/mca20010038

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

China School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou, Fujian 350108, China
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Published: 1 April 2015
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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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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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.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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