Linear optimization of fuzzy relation inequalities with max-Lukasiewicz ‎composition

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

E. Shivanian ¹

1 - Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.

تاریخ دریافت : 1394/01/27 تاریخ پذیرش : 1394/01/27 تاریخ انتشار : 1394/01/12

کلید واژه: Linear objective function opti, Fuzzy relation equations, Fuzzy relation inequalities, max-Lukasiewicz ‎composition,

چکیده مقاله :

In this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-Lukasiewicz operator. In fact Lukasiewicz t-norm is one of the four basic t-norms. A new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on the solution process. Also, an algorithm and one numerical example are offered to abbreviate and illustrate the steps of the problem resolution ‎process.‎