This paper presents interactive fuzzyprogramming for multi-level linearprogrammingproblems with fuzzyparameters. In fuzzyprogramming for multi-level linearprogrammingproblems, recently developed by Lai et al., ...
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This paper presents interactive fuzzyprogramming for multi-level linearprogrammingproblems with fuzzyparameters. In fuzzyprogramming for multi-level linearprogrammingproblems, recently developed by Lai et al., since the fuzzy goals are determined for both an objective function and decision variables at the upper level, undesirable solutions are produced when these fuzzy goals are inconsistent. In order to overcome such problems, after eliminating the fuzzy goals for decision variables, interactive fuzzyprogramming for multi-level linearprogrammingproblems with fuzzyparameters is presented. In our interactive method, after determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived efficiently by updating the satisfactory degrees of decision makers with considerations of overall satisfactory balance among all levels. Illustrative numerical examples for two-level and three-level linearprogrammingproblems are provided to demonstrate the feasibility of the proposed method. (C) 2000 Elsevier Science B.V. All rights reserved.
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