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
Solving fuzzy inequalities with concave membership functions
β Scribed by Cheng-Feng Hu; Shu-Cherng Fang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 373 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
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" techniques is proposed for solving such a problem. Some computational results are included.
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