A multilinear extension of a class of fuzzy bi-cooperative games

被引：4

作者：

Borkotokey, Surajit ^{[1
]}

Hazarika, Pankaj ^{[1
,2
]}

Mesiar, Radko ^{[3
,4
]}

机构：

[1] Dibrugarh Univ, Dept Math, Dibrugarh 786004, Assam, India

[2] Dibrugarh Univ Inst Engn & Technol, Dept Math, Dibrugarh, Assam, India

[3] Slovak Univ Technol, Dept Math, Radlinskeho Bratislava, Slovakia

[4] Acad Sci Czech Republic, Inst Informat Theory & Automat, Prague, Czech Republic

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 02期

关键词：

Fuzzy sets; bi-cooperative games; bi-coalitions; LG value; fuzzy bi-coalitions; CAPACITIES;

D O I：

10.3233/IFS-141349

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a new class of bi-cooperative games with fuzzy bi-coalitions is proposed in multilinear extension form. The extension is shown to be unique. The solution concept discussed in [3] is investigated and characterized for this class of games.

引用

页码：681 / 691

页数：11

共 9 条

[1]

Bilbao J., 2000, Cooperative games on combinatorial structures

[2] The Shapley value for bicooperative games [J].

Bilbao, J. M. ;

Fernandez, J. R. ;

Jimenez, N. ;

Lopez, J. J. .

ANNALS OF OPERATIONS RESEARCH, 2008, 158 (01) :99-115

[3] Bi-cooperative games with fuzzy bi-coalitions [J].

Borkotokey, Surajit ;

Sarmah, Pranjal .

FUZZY SETS AND SYSTEMS, 2012, 198 :46-58

[4] Bi-capacities - II: the Choquet integral [J].

Grabisch, M ;

Labreuche, C .

FUZZY SETS AND SYSTEMS, 2005, 151 (02) :237-259

[5] Bi-capacities - I: definition, Mobius transform and interaction [J].

Grabisch, M ;

Labreuche, C .

FUZZY SETS AND SYSTEMS, 2005, 151 (02) :211-236

[6] A value for bi-cooperative games [J].

Labreuche, Christophe ;

Grabisch, Michel .

INTERNATIONAL JOURNAL OF GAME THEORY, 2008, 37 (03) :409-438

[7] The Shapley function for fuzzy cooperative games with multilinear extension form [J].

Meng, Fan-Yong ;

Zhang, Qiang .

APPLIED MATHEMATICS LETTERS, 2010, 23 (05) :644-650

[8]

OWEN G, 1972, MANAGE SCI, V18, P64, DOI DOI 10.1287/MNSC.18.5.64

[9] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

← 1 →