A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs

被引：5

作者：

Fan, Min ^{[1
]}

Zou, Ping ^{[2
]}

Li, Shao-Rong ^{[3
]}

Wu, Chin-Chia ^{[4
]}

机构：

[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Peoples R China

[2] Kunming Univ Sci & Technol, Fac Econ & Management, Kunming 650500, Peoples R China

[3] Peking Univ, Fac Econ, Beijing 100083, Peoples R China

[4] Feng Chia Univ, Dept Stat, Taichung 407, Taiwan

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

关键词：

MATRIX GAMES; DECISION-MAKING; PROGRAMMING APPROACH; MODELS; GOALS;

D O I：

10.1155/2014/121245

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.

引用

页数：6

共 29 条

[1]

[Anonymous], 2002, Pattern Recognition Letters, DOI DOI 10.1016/S0167-8655(01)00110-6

[2]

[Anonymous], SCI WORLD J

[3]

[Anonymous], 1947, The theory of Games and economic behavior

[4] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[5]

Bector C. R., 2005, STUDIES FUZZINESS SO, V169, P1

[6]

Bector CR., 2004, FUZZY OPTIM DECIS MA, V3, P255, DOI DOI 10.1023/B:FODM.0000036866.18909.F1

[7]

Bector R., 2005, FUZZY MATH PROGRAMMI

[8] MULTIPLE GOAL NON-COOPERATIVE CONFLICTS UNDER UNCERTAINTY - A FUZZY SET APPROACH [J].

BUCKLEY, JJ .

FUZZY SETS AND SYSTEMS, 1984, 13 (02) :107-124

[9]

Butnariu D., 1978, Fuzzy Sets and Systems, V1, P181, DOI 10.1016/0165-0114(78)90003-9

[10] FUZZY LINEAR-PROGRAMMING MODELS TO SOLVE FUZZY MATRIX GAMES [J].

CAMPOS, L .

FUZZY SETS AND SYSTEMS, 1989, 32 (03) :275-289

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