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Fuzzy goal programming with nested priorities. (English) Zbl 0546.90092
Summary: This paper proposes a new approach to formulating fuzzy priorities in a goal programming problem. The proposed methodology remedies certain shortcomings of the composite membership function approach discussed in previous works. The principal advantage of the proposed method is that it leads to a formulation in which tradeoffs between goals more closely reflect the decision maker’s intentions than in other noninteractive approaches in some of which a fixed hierarchy of goals is assumed.

MSC:
90C31 Sensitivity, stability, parametric optimization
90B50 Management decision making, including multiple objectives
90C05 Linear programming
03E72 Theory of fuzzy sets, etc.
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