Log-sum-exp optimization problem subjected to Lukasiewicz fuzzy relational inequalities
Publish Year: 1400
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICIORS14_025
تاریخ نمایه سازی: 12 دی 1400
Abstract:
In this paper, we introduce a nonlinear optimization problem whose objective function is the convex log-sum-exp function and the feasible region is defined as a system of fuzzy relational inequalities (FRI) defined by the Lukasiewicz t-norm. Some necessary and sufficient conditions are derived to determine the feasibility of the problem. The feasible solution set is characterized in terms of a finite number of closed convex cells. Since the feasible solutions set of FRIs is non-convex, conventional methods may not be directly employed. 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.
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Authors
Amin Ghodousian
School of Engineering Science, College of Engineering University of Tehran, P.O.Box ۱۱۳۶۵-۴۵۶۳, Tehran, Iran
Alireza Norouzi Azad
School of Engineering Science, College of Engineering University of Tehran, P.O.Box ۱۱۳۶۵-۴۵۶۳, Tehran, Iran
Hadi Amiri
School of Engineering Science, College of Engineering University of Tehran, P.O.Box ۱۱۳۶۵-۴۵۶۳, Tehran, Iran