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ID 31839
file
title alternative
単一および多目的システムにおけるファジィゲーム
creator
NDC
Mathematics
abstract
In this thesis, game theory has been applied for resolution of conflict in competitive systems. We must recognize the existence of ambiguity in decision makers' judgements as well as the imprecision that exists in information in such systems; moreover, decision makers need to be able to accommodate multiple objectives in the solution of the conflict problems. It follows that new solution concepts which take the ambiguity and the multiplicity of the objectives into consideration should be introduced for implementation of game theoretic approach. We present several game representations for the resolution of conflict in competitive systems and demonstrate our computational methods for the proposed solutions. For noncooperative games, two-person games are dealt with and max-min solutions and equilibrium solutions are considered. For cooperative games, lexicographical solutions and a solution based on fuzzy decision rule are examined. The computational methods are based mainly on linear programming techniques, and therefore they have useful practical applications for decision making problems regarding public conflict.
contents
Contents / p1
Abstract
1.Introduction / p1
 1.1 Introduction and Historical Remarks / p1
 1.2 Outline of the Thesis / p6
2.Two-Person Zero-Sum Multiobjective Matrix Games with Fuzzy Goals / p10
 2.1 Introduction / p10
 2.2 Conventional Two-Person Zero-Sum Matrix Games / p11
 2.3 Problem Formulation and Solution Concepts / p14
 2.4 Computational Methods / p16
 2.5 Conclusion / p32
3.Two-Person Zero-Sum Multiobjective Fuzzy Matrix Games with Fuzzy Goals / p33
 3.1 Introduction / p33
 3.2 Problem Formulation and Solution Concepts / p34
 3.3 Computational Methods / p38
 3.4 Conclusion / p52
4.Two-Person Non-Zero-Sum Multiobjective Bimatrix Games with Fuzzy Goals / p54
 4.1 Introduction / p54
 4.2 Problem Formulation and Solution Concepts / p55
 4.3 Computational Methods / p58
 4.4 Related Properties for Pareto Equilibrium Solutions / p71
 4.5 Conclusion / p75
5.n-Person Cooperative Games with Fuzzy Coalitions / p77
 5.1 Introduction / p77
 5.2 n-Person Cooperative Games / p78
 5.3 n-Person Cooperative Games with Fuzzy Coalitions / p90
 5.4 Conclusion / p102
6.n-Person Cooperative Games with Fuzzy Goals / p104
 6.1 Introduction / p104
 6.2 Problem Formulation and Solution Concepts / p105
 6.3 Computational Methods / p111
 6.4 Conclusion / p117
7.Conclusion / p118
References / p122
Appendix / p129
Acknowledgments / p133
SelfDOI
language
eng
nii type
Thesis or Dissertation
HU type
Doctoral Theses
DCMI type
text
format
application/pdf
text version
ETD
rights
Copyright(c) by Author
grantid
乙第2462号
degreeGrantor
広島大学(Hiroshima University)
degreename Ja
博士(工学)
degreename En
Engineering
degreelevel
doctoral
date of granted
1993-10-14
department
Graduate School of Engineering