Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters

This paper considers the two-level linear fractional programming problem wi th fuzzy parameters, which includes the ambiguity of the human expert conce rned with formulation of the problem, and proposes an interactive fuzzy pro gramming procedure to cope with the problem. The proposed procedure is as f ollows. The fuzzy goal is specified for the objective function for the deci sion-maker at each level. The minimum tolerance for satisfaction is defined subjectively by the decision-maker at the upper level. The satisfaction ra tio between the levels is considered, and the minimum tolerance of the deci sion-maker is modified interactively, if necessary. Then, the satisficing s olution is efficiently derived, achieving the balance between the satisfact ions at different levels, while emphasizing the intention of the decision-m aker at the upper level. Lastly, the validity and the effectiveness of the proposed method are shown by numerical examples. (C) 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(10): 82-90, 2000.