Game Theory under MCDM and Fuzzy Set Theory : Some Problems in Multi-Criteria Decision Making Using Game Theoretic Approach

Language: English

Published by VDM Verlag Dr. Müller, 2010

3639262549 / 9783639262544

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9783639262544

Title
Game Theory under MCDM and Fuzzy Set Theory : Some Problems in Multi-Criteria Decision Making Using Game Theoretic Approach
Author
Sankar Kumar Roy
Publisher
VDM Verlag Dr. Müller
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3639262549
ISBN 13
9783639262544
Item weight
219 grams
Dimensions
22.00x15.00x0.80 cm

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