ISBN: 3790813923
TITLE: Fuzzy Cooperative Games
AUTHOR: Mares
TOC:

Acknowledgements VII
Preface IX
I PRELIMINARIES 1
1 Introduction 5
2 Fuzzy Quantities 9
3 Deterministic Coalition Games 17
3.1 Coalition Games With Side-Payments 17
3.2 Coalition Games Without Side-Payments 23
4 Vagueness and Its Processing 33
II FUZZY BARGAINING WITH SIDE-PAYMENTS 35
5 Fuzzy Additivity and Related Topics 39
5.1 Fuzzy Superadditivity 39
5.2 Fuzzy Subadditivity 39
5.3 Fuzzy Additivity 46
6 Fuzzy Core and Effective Coalitions 55
7 Fuzzy Convexity 67
7.1 General Properties 67
7.2 Relations to the Fuzzy Core 75
8 Fuzzy Balancedness 79
8.1 General Properties 80
8.2 Relations to the Fuzzy Core 84
9 Fuzzy Shapley Value 89
III FUZZY BARGAINING WITHOUT SIDE-PAYMENTS 95
10 Fuzzy Superoptimum 101
11 Fuzzy and Imputational Additivity-Like Relations 111
11.1 Imputational Superadditivity 111
11.2 Fuzzy Superadditivity 112
11.3 Imputational Subadditivity and Additivity 116
11.4 Fuzzy Subadditivity and Additivity 118
12 Fuzzy Core and Effectivity in Games Without Side-Payments 125
IV ALTERNATIVE APPROACHES 135
13 Linear Coalition Games 139
14 A Modified Model of Domination and Superoptimum 147
15 Strategic Background of Fuzzy Cooperation 153
16 Generation of Fuzzy Quantities 163
V CONCLUDING REMARKS 169
References 173
Index 177
END
