Latticized optimization problem subjected to the intersection of two fuzzy relational inequalities defined by Schweizer-Sklar family of t-norms
سال انتشار: 1401
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 242
فایل این مقاله در 7 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
DMECONF08_059
تاریخ نمایه سازی: 31 فروردین 1402
چکیده مقاله:
In this paper, we study a latticized optimization problem with fuzzy inequality constraints where the feasible region is formed as the intersection of two inequality fuzzy systems and Schweizer-Sklar family of t-norms is considered as fuzzy composition. The resolution of the feasible region of the problem is firstly investigated 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 algorithm.
کلیدواژه ها:
Fuzzy relation ، fuzzy relational inequality ، nonlinear optimization ، fuzzy compositions and t-norms.
نویسندگان
Amin Ghodousian
Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box ۱۱۳۶۵-۴۵۶۳,Tehran, Iran.
Sara Zal
Department of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran.