Exact alternative optima for nonlinear optimization problems defined with maximum component objective function constrained by the Sugeno-Weber fuzzy relational inequalities
سال انتشار: 1401
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 166
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شناسه ملی سند علمی:
ITCT17_004
تاریخ نمایه سازی: 26 دی 1401
چکیده مقاله:
In this paper, we study a latticized optimization problem with fuzzy relational inequality constraints where the feasible region is formed as the intersection of two inequality fuzzy systems and Sugeno-Weber family of t-norms is considered as fuzzy composition. Sugeno-Weber family of t-norms and t-conorms is one of the most applied one in various fuzzy modelling problems. This family of t-norms and t-conorms was suggested by Weber for modeling intersection and union of fuzzy sets. Also, the t-conorms were suggested as addition rules by Sugeno for so-called –fuzzy measures. The resolution of the feasible region of the problem is firstly investigated when it is defined with max-Sugeno-Weber composition and a necessary and sufficient condition is presented for determining the feasibility. Then, based on some theoretical properties of the problem, an algorithm is presented for solving this nonlinear problem. It is proved that the algorithm can find the exact optimal solution and an example is presented to illustrate the proposed algorithm.
کلیدواژه ها:
Fuzzy relation ، fuzzy relational inequality ، nonlinear optimization ، fuzzy compositions and t-norms
نویسندگان
Amin Ghodousian
A School of Engineering Science, College of Engineering University of Tehran,Tehran, Iran
Sara Zal
A School of Engineering Science, College of Engineering University of Tehran,Tehran, Iran
Minoo Ahmadi
A School of Engineering Science, College of Engineering University of Tehran, Tehran, Iran