MULTI-OBJECTIVE OPTIMIZATION WITH PREEMPTIVE PRIORITY SUBJECT TO FUZZY RELATION EQUATION CONSTRAINTS

Abstract

This paper studies a new multi-objective fuzzy optimization prob- <br />lem. The objective function of this study has di<br />erent levels. Therefore, a <br />suitable optimized solution for this problem would be an optimized solution <br />with preemptive priority. Since, the feasible domain is non-convex; the tra- <br />ditional methods cannot be applied. We study this problem and determine <br />some special structures related to the feasible domain, and using them some <br />methods are proposed to reduce the size of the problem. Therefore, the prob- <br />lem is being transferred to a similar 0-1 integer programming and it may be <br />solved by a branch and bound algorithm. After this step the problem changes <br />to solve some consecutive optimized problem with linear objective function on <br />discrete region. Finally, we give some examples to clarify the subject.