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

Roy, Sankar Kumar

 
9783639262544: Game Theory under MCDM and Fuzzy Set Theory: Some Problems in Multi-Criteria Decision Making Using Game Theoretic Approach
Couverture souple
ISBN 10 : 3639262549 ISBN 13 : 9783639262544
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

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.

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À propos de l'auteur

Dr. Sankar Kr. Roy, received M.Sc. from Vidyasagar University, Midnapur and Ph.D from IIT, Kharagpur, India. He is Reader in Mathematics, Vidyasagar University. He has to his credit several research papers published in international journals. His research areas are O. R., Game Theory, Discrete Mathematics, Fuzzy and Rough Set Theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
3639262549
ISBN 13 
9783639262544
Reliure
Broché
Nombre de pages
136
Coordonnées du fabricant
non disponible
Personne responsable
non disponible