A Fuzzy Optimization Method for Multi-criteria Decision-Making Problem Based on the Inclusion Degrees of Intuitionistic Fuzzy Sets

Authors:
Changrui Yu;Yan Luo
Affiliations:
School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai, China 200433;Sydney Institute of Language& Commerce, Shanghai University, Shanghai, China 200072
Venue:
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Year:
2008

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Abstract

This paper presents a fuzzy optimization method based on the inclusion degrees of intuitionistic fuzzy sets to solve multi-criteria decision making problems under fuzzy environments. First, the inclusion degree of intuitionistic fuzzy sets is defined and a series of specific formulas of inclusion degree are presented by means of the normal implication operators. Some formulas of inclusion degree of intuitionistic fuzzy sets are generalized by defining the cardinal number of intuitionistic fuzzy sets. Then, we give multi-criteria fuzzy decision-making method based on inclusion degree of intuitionistic fuzzy sets. Finally, we illustrate the effectiveness of the method proposed in this paper by an example.