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Showing papers by "Sankar Kumar Roy published in 2011"


Journal Article
TL;DR: This paper presents the two-person zero-sum game in which the elements of the payoff matrix are characterized by fuzzy variables, called credibilistic game, and introduced the concept of credibility measure by credibility theory, which converts fuzzy constraints into equivalent deterministic constraints.
Abstract: This paper presents the two-person zero-sum game in which the elements of the payoff matrix are characterized by fuzzy variables. This type of game is called credibilistic game. To analyze the credibilistic game, we introduced the concept of credibility measure by credibility theory. Using credibility theory, the fuzzy constraints is converted into equivalent deterministic constraints. Mainly we have discussed the credibilistic game under the light of linear programming, which depends upon the confidence level due to incomplete information. Lastly a numerical example is presented to illustrate the methodology.

8 citations


01 Jan 2011
TL;DR: According to the Maximum Entropy Principle the entropy function of the players of bimatrix game has been considered as an objective and using it the model is formulated, a non-linear programming model due to entropy function.
Abstract: This paper presents an entropy optimization model on bimatrix game (two-person non-zero-sum game). According to the Maximum Entropy Principle the entropy function of the players of bimatrix game has been considered as an objective and using it we formulate the model. This model is a non-linear programming model due to entropy function. The solution concept is based on Kuhn-Tucker optimality conditions. A numerical example is illustrated the results in this paper.