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.

引用

页码：1142 / 1145

页数：4

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