Journal
FUZZY INFORMATION AND ENGINEERING
Volume 6, Issue 2, Pages 167-192Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fiae.2014.08.003
Keywords
Fuzzy matrix game; Intuitionistic fuzzy sets; I-fuzzy payoffs; Pareto-optimal security strategies
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A recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of multiobjective optimization. The presented approach provides an efficient solution to a class of I-fuzzy matrix games with piecewise linear membership and non-membership functions. This class also includes I-fuzzy matrix games with triangular and trapezoidal I-fuzzy numbers as special cases. Further, POSS approach also provides an approximate solution to I-fuzzy matrix games with payoffs as general I-fuzzy numbers.
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