Journal
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 18, Issue 3, Pages 492-503Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-015-0052-1
Keywords
Atanassov's intuitionistic fuzzy (I-fuzzy) number; Fuzzy set; Fuzzy game theory; Mathematical programming; Fuzzy optimization
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Funding
- Key Program of National Natural Science Foundation of China [71231003]
- National Natural Science Foundation of China [71171055]
- Social Science Planning Project of Fujian province [2014C132]
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The aim of this paper is to develop a new methodology for solving bi-matrix games with payoffs of Atanassov's intuitionistic fuzzy (I-fuzzy) numbers. In this methodology, we define the concepts of I-fuzzy numbers, the value-index and ambiguity-index, and develop a difference-index based ranking method. Hereby the parameterized non-linear programming models are derived from a pair of auxiliary I-fuzzy mathematical programming models, which are used to determine solutions of bi-matrix games with payoffs represented by I-fuzzy numbers. Validity and applicability of the models and method proposed in this paper are illustrated with a practical example.
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