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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Vydáno v:2010 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology Ročník 3; s. 142 - 145
Hlavní autoři: Cui-Ping Wei, Xijin Tang
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.08.2010
Témata:
Accuracy
Decision making
Electronic mail
Fuzzy sets
intuitionistic fuzzy number
multi-attribute decision making
possibility degree method
Uncertainty
ISBN:9781424484829, 1424484820
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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.
AbstractList 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.
Author Cui-Ping Wei
Xijin Tang
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  surname: Xijin Tang
  fullname: Xijin Tang
  email: xjtang@iss.ac.cn
  organization: Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China
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Snippet In this paper, we study the method of ranking intuitionistic fuzzy numbers. Firstly a possibility degree formula is defined to compare two intuitionistic fuzzy...
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StartPage 142
SubjectTerms Accuracy
Decision making
Electronic mail
Fuzzy sets
intuitionistic fuzzy number
multi-attribute decision making
possibility degree method
Uncertainty
Title Possibility Degree Method for Ranking Intuitionistic Fuzzy Numbers
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