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Solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions

โœ Scribed by Cheng-Feng Hu; Shu-Cherng Fang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
717 KB
Volume
40
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

A cutting plane type algorithm for solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions is proposed. In each iteration, we solve a finite nonlinear optimization problem and add one or two more constraints. The iterative process ends when an optimal solution is identified. A convergence proof, under some mild conditions, is given. An efficient implementation based on the concepts of constraint surrogation and maximum entropy is included. Some computational results axe also reported. (~) 2000 Elsevier Science Ltd. All rights reserved.

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