A Generalized Numerical Solution for Fuzzy Relation Equations

被引：0
|
作者：
Ardehali, Iman Mohammadi [1 ]
Avazbeigi, Milad [2 ]
机构：
[1] Univ Tehran, Fac Management, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Ind Engn, Tehran, Iran
来源：
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE | 2009年
关键词：
Fuzzy Relation Equation (FRE); Fuzzy Triangular Norms; Line Search; Numerical Solution; Sequential Quadratic Programming (SQP); MAX-PRODUCT COMPOSITION; CONTINUOUS T-NORMS; RESOLUTION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, line search based on Sequential Quadratic Programming is implemented in order to find a solution to Fuzzy Relation Equations. Sequential Quadratic Programming is a gradient-based method that uses a quadratic estimation of the objective function in each iteration's neighborhood. Unlike analytical approaches, the method can handle equations with any combinations of t-norms and t-conorms and at any dimensions. It is assumed that the FRE problem has at least one solution.
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页码：1142 / 1145
页数：4
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