سال انتشار: ۱۳۸۶
محل انتشار: اولین کنگره مشترک سیستم های فازی و سیستم های هوشمند
تعداد صفحات: ۶
M Zamirian – Department of Mathematics Islamic Azad University of Bojnourd, Iran
A.V Kamyad – Department of Mathematics Ferdowsi University of Mashhad,Mashhad 91775-1159, Iran
minimum and the distance between rigid body and obstacles is maximum. By considering the length of path and the distance between rigid body and obstacles as objective functions, we obtain a multi-objective problem. Because of the imprecise nature of decision maker’s judgment, these multiple objectives are viewed as fuzzy objectives. Then we determine intervals for the optimal value of objective functions such that these intervals for the distance between rigid body and obstacles are given and for the length of path is achieved by solving two optimal non-linear programming problems (ONPP). Now, we define a strictly monotonic decreasing or increasing membership function as degree of satisfaction for any objective functions on achieved intervals. Then the optimal policy is to find an optimal path which maximize all of membership functions, simultaneously. Thus, we obtain an ONPP which gives a (local) Pareto solution for original goal. Numerical example is also given.