Non-linear Programming Approach to Solve Bi-matrix Games with Payoffs Represented by I-fuzzy Numbers

被引：0
作者：
Jie Yang
Wei Fei
Deng-Feng Li
机构：
[1] Fuzhou University,School of Economics and Management
[2] Fuzhou University,School of Architecture
来源：
International Journal of Fuzzy Systems | 2016年 / 18卷
关键词：
Atanassov’s intuitionistic fuzzy (I-fuzzy) number; Fuzzy set; Fuzzy game theory; Mathematical programming; Fuzzy optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to develop a new methodology for solving bi-matrix games with payoffs of Atanassov’s intuitionistic fuzzy (I-fuzzy) numbers. In this methodology, we define the concepts of I-fuzzy numbers, the value-index and ambiguity-index, and develop a difference-index based ranking method. Hereby the parameterized non-linear programming models are derived from a pair of auxiliary I-fuzzy mathematical programming models, which are used to determine solutions of bi-matrix games with payoffs represented by I-fuzzy numbers. Validity and applicability of the models and method proposed in this paper are illustrated with a practical example.
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页码：492 / 503
页数：11
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