Sakawa, M. & Yano, H. (1986). An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP86015

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Abstract
This paper presents an interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy parameters. The fuzzy parameters in the objective functions and the constraints are characterized by the fuzzy numbers. On the basis of the alphalevel sets of the fuzzy numbers, the concept of alphamultiobjective nonlinear programming and alphaPareto optimality is introduced. Through the interaction with the decision maker (DM), the fuzzy goals of the DM for each of the objective functions in alphamultiobjective nonlinear programming are quantified by eliciting the corresponding membership functions. After determining the membership functions, in order to generate a candidate for the satisficing solution which is also alphaPareto optimal, if the DM specifies the degree alpha of the alphalevel sets and the reference membership values, the augmented minimax problem is solved and the DM is supplied with the corresponding alphaPareto optimal solution together with the tradeoff rates among the values of the membership functions and the degree alpha. Then by considering the current values of the membership functions and as well as the tradeoff rates, the DM responds by updating his reference membership values and/or the degree alpha. In this way the satisficing solution for the DM can be derived efficiently from among an alphaPareto optimal solution set. Based on the proposed method, a timesharing computer program is written and an illustrative numerical example is demonstrated along with the corresponding computer outputs.
Item Type:  Monograph (IIASA Collaborative Paper) 

Research Programs:  System and Decision Sciences  Core (SDS) 
Depositing User:  IIASA Import 
Date Deposited:  15 Jan 2016 01:57 
Last Modified:  27 Aug 2021 17:12 
URI:  http://pure.iiasa.ac.at/2870 
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