Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree

被引：6
作者：
Qiu, Dong [1 ]
Xing, Yumei [1 ]
Chen, Shuqiao [1 ]
机构：
[1] Chongqing Univ Post & Telecommun, Coll Sci, Chongqing 400065, Peoples R China
来源：
SYMMETRY-BASEL | 2017年 / 9卷 / 08期
关键词：
multi-objective game; possibility degree; equilibrium solution; multicriteria linear optimization; DECISION-MAKING; NUMBERS; MODEL; SETS;
D O I：
10.3390/sym9080130
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：
In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit-1/2 of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.
引用
收藏
页数：11
相关论文
共 38 条
[1]  
Aggarwal A, 2016, KYBERNETIKA, V52, P153
[2]  
[Anonymous], 1956, Pac. J. Math., DOI [10.2140/pjm.1956.6.1, DOI 10.2140/PJM.1956.6.1]
[3]  
[Anonymous], 2005, FUZZY MATH PROGRAMMI
[4]   Old Game, New Rules: Rethinking the Form of Physics [J].
Baumgarten, Christian .
SYMMETRY-BASEL, 2016, 8 (05)
[5]  
Bector CR., 2004, FUZZY OPTIM DECIS MA, V3, P255, DOI DOI 10.1023/B:FODM.0000036866.18909.F1
[6]   Analysis of triangular intuitionistic fuzzy matrix games using robust ranking [J].
Bhaumik, Ankan ;
Roy, Sankar Kumar ;
Li, Deng-Feng .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (01) :327-336
[7]   Fair Dynamic Spectrum Allocation Using Modified Game Theory for Resource-Constrained Cognitive Wireless Sensor Networks [J].
Byun, Sang-Seon ;
Gil, Joon-Min .
SYMMETRY-BASEL, 2017, 9 (05)
[8]   Solutions for fuzzy matrix games [J].
Cevikel, Adem C. ;
Ahlatcioglu, Mehmet .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) :399-410
[9]  
Chakeri A., 2013, GAME THEORY RELAUNCH, DOI [10.5772/54677, DOI 10.5772/54677]
[10]  
Chakeri A., 2008, P 4 INT IEEE C INT S, P251
1234