Abstract
A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers
Highlights
In real game situations, usually Players are not able to evaluate exactly the outcomes of game due to a lack of information
We have developed the concept of triangular intuitionistic fuzzy numbers (TIFNs), operations, cut sets and the ranking order relations as well as the Lexicographic Method for Games concept of solutions of matrix games with payoffs of TIFNs
A pair of intuitionistic fuzzy optimization models are established for two Players, which are transformed into bi-objective linear programming models based on the ranking order relations of TIFNs
Summary
Usually Players are not able to evaluate exactly the outcomes of game due to a lack of information. Fuzzy game theory provides an efficient framework which solves the real-life conflict problems with fuzzy information and has achieved a success. Lots of papers and books 1-17 have been published on this topic in which several types of fuzzy games have been investigated. In some situations, Players could only estimate the payoff values approximately with some imprecise degree. It is possible that he/she is not so sure about it. There may be a hesitation about the approximate payoff values. The fuzzy set (F-set) uses only a membership function to indicate degree of belongingness to the F-set under consideration.
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