A fuzzy multiobjective program with quasiconcave membership functions and fuzzy coefficients

✍ Scribed by Han-Lin Li; Chian-Son Yu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 274 KB
• Volume: 109
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00195-x

✦ Synopsis

A method is proposed for solving a fuzzy multi-objective linear programming problem (FMP) with quasiconcave membership functions and fuzzy coe cients. The proposed method ÿrst expresses a piecewise function as the summation of absolute terms. Then we search for the interval where the optimal solution is allocated by ÿnding the corresponding points with same value of membership functions. After that, the problem is solved by goal programming techniques. Comparing with other FMP methods, the proposed method does not need to add extra zero-one variables, to divide the original problem into several sub-problems, or transforming all original quasiconcave functions into concave functions. In addition, the proposed method could solve a FMP problem with fuzzy coe cients to obtain a solution closing to a global optimum.