Possibility Degree Method for Ranking Intuitionistic Fuzzy Numbers

Author

Wei, Cui-Ping ; Tang, Xijin

Author_Institution

Coll. of Oper. Res. & Manage., Qufu Normal Univ., Qufu, China

Volume

3

fYear

2010

fDate

Aug. 31 2010-Sept. 3 2010

Firstpage

142

Lastpage

145

Abstract

In this paper, we study the method of ranking intuitionistic fuzzy numbers. Firstly a possibility degree formula is defined to compare two intuitionistic fuzzy numbers. We prove the ranking order of two intuitionistic fuzzy numbers obtained by the possibility degree formula is the same as the one by using the score function defined by Chen and Tan. Moreover, the possibility degree formula can provide additional information for the comparison of two intuitionistic fuzzy numbers. Based on the possibility degree formula, we give a possibility degree method for ranking n intuitionistic fuzzy numbers and then to rank the alternatives in multi-criteria decision making problems.

Keywords

decision making; formal logic; fuzzy set theory; Chen; Tan; intuitionistic fuzzy number; multicriteria decision making problem; possibility degree method; Accuracy; Decision making; Electronic mail; Fuzzy sets; Uncertainty; intuitionistic fuzzy number; multi-attribute decision making; possibility degree method;

fLanguage

English

Publisher

ieee

Conference_Titel

Web Intelligence and Intelligent Agent Technology (WI-IAT), 2010 IEEE/WIC/ACM International Conference on

Conference_Location

Toronto, ON

Print_ISBN

978-1-4244-8482-9

Electronic_ISBN

978-0-7695-4191-4

Type

conf

DOI

10.1109/WI-IAT.2010.239

Filename

5614416