Title :
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
fDate :
Aug. 31 2010-Sept. 3 2010
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;
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
DOI :
10.1109/WI-IAT.2010.239
