An alternative approach to solve bi-matrix games with intuitionistic fuzzy goals Online publication date: Sat, 30-Apr-2016
by Mijanur Rahaman Seikh; Prasun Kumar Nayak; Madhumangal Pal
International Journal of Fuzzy Computation and Modelling (IJFCM), Vol. 1, No. 4, 2015
Abstract: This paper presents a new solution methodology for solving bi-matrix games with intuitionistic fuzzy (IF) goals for each of the strategy in pay-off matrices. The solution procedure for bi-matrix games with IF goals have been studied by Nayak and Pal (2010) by defining the concept of a Nash equilibrium solution by means of degree of attainment. In Nayak and Pal's (2010) approach the result of crisp bi-matrix games do not seem to follow from the formulation of IF bi-matrix games. In this paper, the solution methodology for such games is conceptualised by introducing aspiration level approach and it is shown that the formulation of IF bi-matrix game reduces to the formulation of crisp bi-matrix game under certain conditions. Also in our proposed methodology it is ensured that the bi-matrix games with IF goals is an extension of the bi-matrix games with fuzzy goals which is not the case in Nayak and Pal's (2010) approach. Numerical example is provided to illustrate our approach.
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