Abstract
In this paper, we propose a new concept of two-person constant-sum matrix games having payoffs in the form of linguistic distribution assessments. Such types of payoffs allow the players to express their opinion in terms of a whole fuzzy set and thus, are not limited to just one single term. To establish an equilibrium solution of these kinds of matrix games, first, we define the maxmin and minmax strategies to apply in case the players play pure strategies. In mixed strategies, we develop a linguistic distribution linear programming (LDLP) approach to find the players’ mixed strategies. The method is depicted as a generalization of that traditionally used in the solution of a classical game. The applicability of defined LDLP is illustrated with the help of an example.
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Chauhan, P., Gupta, A. (2022). Matrix Games with Linguistic Distribution Assessment Payoffs. In: Saraswat, M., Sharma, H., Balachandran, K., Kim, J.H., Bansal, J.C. (eds) Congress on Intelligent Systems. Lecture Notes on Data Engineering and Communications Technologies, vol 111. Springer, Singapore. https://doi.org/10.1007/978-981-16-9113-3_56
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DOI: https://doi.org/10.1007/978-981-16-9113-3_56
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