Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals

被引:35
作者
Aggarwal, A. [2 ]
Mehra, A. [1 ]
Chandra, S. [1 ]
机构
[1] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India
[2] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, Delhi 110403, India
关键词
Fuzzy optimization; I-fuzzy sets; Zero-sum matrix games; Fuzzy goals; Fuzzy duality; DUALITY; ENVIRONMENT; PAYOFFS;
D O I
10.1007/s10700-012-9123-z
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 we study a class of linear programming problems having fuzzy goals/constraints that can be described by (Atanassov's) I-fuzzy sets. Duality theory is developed for this class of problems in the I-fuzzy sense which is subsequently applied to define a new solution concept for two persons zero-sum matrix games with I-fuzzy goals.
引用
收藏
页码:465 / 480
页数:16
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