Interactive fuzzy decision making for multiobjective nonlinear programming using augmented minimax problems

✍ Scribed by Masatoshi Sakawa; Hitoshi Yano

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 779 KB
• Volume: 20
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(86)80029-x

✦ Synopsis

An interactive fuzzy decision-making method for solving multiobjective nonlinear programming problems is presented in this paper by assuming that the decision maker (DM) has fuzzy goals for each of the objective functions. The fuzzy goals of the DM are quantified by eliciting corresponding membership functions through the interaction with the DM. Having determined the membership functions, if the DM specifies his reference membership values, the augmented minimax problem is solved and the DM is supplied with the corresponding Pareto-optimal solution together with the trade-off rates between the membership functions. Then by considering the current values of the membership functions as well as the trade-off rates, the DM responds by updating his reference membership values. In this way the compromise or satisficing solution for the DM can be derived efficiently from among a Pareto-optimal solution set. On the basis of the proposed method, a time-sharing computer program is written and an illustrative numerical example is demonstrated along with the computer outputs.