A global optimization method for solving fuzzy relation equations
FUZZY SETS AND SYSTEMS - IFSA 2003, PROCEEDINGS, cilt.2715, ss.718-724, 2003 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2715
- Basım Tarihi: 2003
- Dergi Adı: FUZZY SETS AND SYSTEMS - IFSA 2003, PROCEEDINGS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, EMBASE, MathSciNet, Philosopher's Index, zbMATH
- Sayfa Sayıları: ss.718-724
- Galatasaray Üniversitesi Adresli: Evet
Özet
A system of fuzzy relation equations can be reformulated as a global optimization problem. The optimum solution of this new model corresponds to a solution of the system of fuzzy relation equations whenever the solution set of the system is nonempty. Moreover, even if the solution set of the fuzzy relation equations is empty, a solution to the global optimization problem provides a point such that the difference between the right and the left hand side of the fuzzy relation equations is minimized. The new global optimization problem has a nonconvex and nondifferentiable objective function. Therefore, a recent stochastic search approach is applied to solve this new model. The performance of the approach is tested on a set of problems with different dimensions.