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Solving fuzzy inequalities with piecewise linear membership functions

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


Book ID
120834066
Publisher
IEEE
Year
1999
Tongue
English
Weight
338 KB
Volume
7
Category
Article
ISSN
1063-6706

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๐Ÿ“œ SIMILAR VOLUMES


Solving a system of infinitely many fuzz
โœ Cheng-Feng Hu; Shu-Cherng Fang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 717 KB

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 soluti

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Solving systems of fuzzy inequalities could lead to the solutions of fuzzy mathematical programs. It is shown that a system of fuzzy inequalities with concave membership functions can be converted to a regular convex programming problem. A "method of centres" with "entropic regularization" technique