AN APPLICATION OF THE REVISED RADIUS OF GYRATION METHOD FOR SOLVING FUZZY LINEAR PROGRAMMING PROBLEMS

Ranking fuzzy numbers plays an important role in linguistic decision making and some other fuzzy application systems such as management, operations research and etc. Many methods have been proposed to deal with ranking fuzzy numbers. Recently first the radius of gyration (ROG) method is proposed for ranking fuzzy number which was overcame the short coming of the pervious method and then also is proposed the revised ROG method for overcame the short coming of the ROG method. On the other hand, recently the fuzzy primal and dual simplex algorithm is designed based on ranking fuzzy numbers. Hence, in this paper, using the revised ROG method as an efficient tool for solving fuzzy linear programming is proposed. This paper is organized in 5 sections. In Section 1, weintroduce some preliminaries of fuzzy sets. In Section 2, we explain the revised ROG’s method for ranking fuzzy numbers. Fuzzy linear programming is defined in Section 3. An illustrative example is given in Section 4. We conclude in Section 5

Keywords:

triangular fuzzy number , ranking fuzzy number , fuzzy linear programming