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Zhang, Maojun, Nan, Jiangxia. (1392). A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\\ and Its Application to MADM Problems. نشریه علمی دانشگاه سیستان و بلوچستان, 10(6), 21-37. doi: 10.22111/ijfs.2013.1313
Maojun Zhang; Jiangxia Nan. "A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\\ and Its Application to MADM Problems". نشریه علمی دانشگاه سیستان و بلوچستان, 10, 6, 1392, 21-37. doi: 10.22111/ijfs.2013.1313
Zhang, Maojun, Nan, Jiangxia. (1392). 'A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\\ and Its Application to MADM Problems', نشریه علمی دانشگاه سیستان و بلوچستان, 10(6), pp. 21-37. doi: 10.22111/ijfs.2013.1313
Zhang, Maojun, Nan, Jiangxia. A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\\ and Its Application to MADM Problems. نشریه علمی دانشگاه سیستان و بلوچستان, 1392; 10(6): 21-37. doi: 10.22111/ijfs.2013.1313

A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\\ and Its Application to MADM Problems

Iranian Journal of Fuzzy Systems
مقاله 3، دوره 10، شماره 6، اسفند 2013، صفحه 21-37    اصل مقاله (221.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1313
نویسندگان
Maojun Zhang؛ Jiangxia Nan*
School of Mathematics and Computing Sciences, Guilin University of Electronic Technology, No.1, Jinji Road, Guilin 541004, Guangxi, China
چکیده
Triangular intuitionistic fuzzy numbers (TIFNs) is a special case of intuitionistic fuzzy (IF) set and the ranking of TIFNs is an important problem. The aim of this paper is to develop a new methodology for ranking TIFNs by using multiattribute decision making methods (MADM). In this methodology, the value and ambiguity indices of TIFNs may be considered as the attributes and the TIFNs in comparison are seen as the alternatives. A compromise ratio method for fuzzy MADM is developed based on the concept that larger TIFN should close to the maximum value index and is far away from the minimum ambiguity index simultaneously. The proposed ranking method is applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed by using TIFNs. Numerical examples are examined to demonstrate the implementation process and applicability of the proposed method in this paper. Furthermore, a comparison analysis of the proposed method is conducted to show its advantages over other methods.
کلیدواژه‌ها
Triangular intuitionistic fuzzy number؛ Intuitionistic fuzzy set؛ Compromise ratio ranking method؛ Multiattribute decision making
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