Fuzzy relational equations and the covering problem

被引：0
|
作者：
Xiong, Qing-quan [1 ]
Shu, Qian-yu [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China
来源：
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY | 2015年 / 89卷
关键词：
Fuzzy relational equation; Maximal solutions; Covering problem; Irredundant covering; COMPLETE BROUWERIAN LATTICE; PSEUDO-T-NORMS; SOLUTION SETS; RESOLUTION; SYSTEM;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The work considers the problem of solving a system of fuzzy relational equations with inf-implication composition and introduces the concepts of a characteristic matrix and attainable components. It is first shown that solving the system is closely related with the covering problem. Further, it is proved that maximal solutions of the system correspond to irredundant coverings of the characteristic matrix. At last, the necessary and sufficient conditions that the system has a unique(maximal) solution are given.
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页码：77 / 84
页数：8
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