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Game Theory under MCDM and Fuzzy Set Theory


Marketed By :  VDM Verlag Dr. Müller   Sold By :  Kamal Books International  
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  • Product Description

In this thesis, several methodologies have been proposed to solve the different types of game theory problems under fuzzy environment. Analytic Hierarchy process has been applied to find out the weights to solve the two-person zero-sum games with multiple payoffs. Considering the triangular and trapezoidal fuzzy numbers for the payoff matrix in two-person zero-game, the formulated models have been solved by parametric programming approach. Co- operative game theoretic approach has been applied to solve some multi-objective linear and non- linear programming problems. In non co-operative games, Nash equilibrium solutions have been calculated for multi-objective bimatrix games in fuzzy environment. Fuzzy programming has been applied to find out the Stackelberg equilibrium solution for bimatrix games and for bi-level programming problem. By considering the elements of the payoffs matrix as crisp and fuzzy numbers, two different ways have been applied to analyze two- person multicriteria bimatrix games. Finally, an overall concluding remarks has been made and scopes of future directions of investigation have been highlighted.

Product Specifications
SKU :COC37872
AuthorSankar Kumar Roy
Number of Pages136
Publishing Year5/18/2010
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandVDM Verlag Dr. Müller
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-31 00:00:00