Abstract
Procedures of hierarchical programming with fuzzy objectives and constraints are proposed in this paper. Compromise solutions are determined through a sequential optimization procedure by which the objectives are optimized according to their descending order of priorities. In each step, a fuzzy objective function is optimized subject to the fuzzy constraints and the trade-off functions constructed from the permissible trade-offs for the current objective with respect to the higher order objectives. The more stringent the decision makers are on the tradeoffs, the more favorable the compromise solution is to the higher order objectives.
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© 1987 Springer Science+Business Media Dordrecht
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Leung, Y. (1987). Hierarchical Programming With Fuzzy Objectives and Constraints. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_17
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DOI: https://doi.org/10.1007/978-94-009-3869-4_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8220-4
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