سامانه پشتیبانی خدمات اطلاعات

  اخبار و اعلانات

 آمار

تعداد نشریات161
تعداد شماره‌ها6,573
تعداد مقالات71,037
تعداد مشاهده مقاله125,517,029
تعداد دریافت فایل اصل مقاله98,777,718
Ghodousian, Amin, Ahmadi, A., Dehghani, A.. (1396). Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms. , 49(2), 63-101. doi: 10.22059/jac.2017.7978
Amin Ghodousian; A. Ahmadi; A. Dehghani. "Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms". , 49, 2, 1396, 63-101. doi: 10.22059/jac.2017.7978
Ghodousian, Amin, Ahmadi, A., Dehghani, A.. (1396). 'Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms', , 49(2), pp. 63-101. doi: 10.22059/jac.2017.7978
Ghodousian, Amin, Ahmadi, A., Dehghani, A.. Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms. , 1396; 49(2): 63-101. doi: 10.22059/jac.2017.7978

Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms

Journal of Algorithms and Computation
مقاله 7، دوره 49، شماره 2، اسفند 2017، صفحه 63-101    اصل مقاله (485.62 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2017.7978
نویسندگان
Amin Ghodousian* ؛ A. Ahmadi؛ A. Dehghani
Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran
چکیده
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  $\lambda$–fuzzy measures. In this paper, we study a nonlinear optimization problem where the feasible region is formed as a system of fuzzy relational equations (FRE) defined by the Sugeno-Weber t-norm. We firstly investigate the resolution of the feasible region when it is defined with max-Sugeno-Weber composition and present some necessary and sufficient conditions for determining the feasibility of the problem. Also, two procedures are presented for simplifying the problem. Since the feasible solutions set of FREs
کلیدواژه‌ها
Fuzzy relational equations؛ nonlinear optimization؛ genetic algorithm
آمار
تعداد مشاهده مقاله: 736
تعداد دریافت فایل اصل مقاله: 551





سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب