Optimization of linear objective function subject to Fuzzy relation inequalities constraints with max-product composition

در اين مقاله، تعداد متناهي محدويت هاي رابط- فازي بشكل نامساوي را مطالعه مي‌كنيم وتابع هدف خطي را روي ناحيه تعريف شده با عملگر ضرب فازي بهينه مي كنيم. با عمليات ساده سازي و با حذف مولفه هاي ناموثر روند حل مساله سرعت‌دهي مي‌شود. همچنين، يك الگوريتم وچند مثال كاربردي و عددي جهت شرح و بسط مراحل حل مساله ارايه مي‌شود.

In this paper, we study the finitely many constraints of the fuzzy relation inequality problem and optimize the linear objective function on the region defined by the fuzzy max-product operator. Simplification operations have been given to accelerate the resolution of the problem by removing the components having no effect on the solution process. Also, an algorithm and some numerical and applied examples are presented to abbreviate and illustrate the steps of the problem resolution.