Possibility Degree Method for Ranking Intuitionistic Fuzzy Numbers

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...

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Bibliographic Details
Published in:2010 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology Vol. 3; pp. 142 - 145
Main Authors: Cui-Ping Wei, Xijin Tang
Format: Conference Proceeding
Language:English
Published: IEEE 01.08.2010
Subjects:
Accuracy
Decision making
Electronic mail
Fuzzy sets
intuitionistic fuzzy number
multi-attribute decision making
possibility degree method
Uncertainty
ISBN:9781424484829, 1424484820
Online Access:Get full text
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Summary: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.
ISBN:9781424484829
1424484820
DOI:10.1109/WI-IAT.2010.239