3.8 Article

A New Method for Ranking Intuitionistic Fuzzy Numbers

Journal

Publisher

IGI GLOBAL
DOI: 10.4018/jkss.2011010104

Keywords

Intuitionistic Fuzzy Number; Multi-Criteria Decision Making; Possibility Degree Method; Ranking; Score Function

Funding

  1. National Basic Research Program of China (973 Program) [2010CB731405]
  2. Humanities and Social Sciences Project of Ministry of Education [10YJC630269]

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In this paper the ranking method for intuitionistic fuzzy numbers is studied. The authors first define a possibility degree formula to compare two intuitionistic fuzzy numbers. In comparison with Chen and Tan's score function, the possibility degree formula provides additional information for the comparison of two intuitionistic fuzzy numbers. Based on the possibility degree formula, the authors give a possibility degree method to rank n intuitionistic fuzzy numbers, which is used to rank the alternatives in multi- criteria decision making problems.

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