A Possibilistic Approach for Multiobjective Programming Problems. Efficiency of Solutions

作者: M. Delgado , J. L. Verdegay , M. A. Vila

DOI: 10.1007/978-94-009-2111-5_11

关键词: Possibility theoryMulticriteria decisionRelation (database)Set (abstract data type)Mathematical optimizationMultiobjective programmingComputer scienceFuzzy setClass (set theory)Resolution (logic)

摘要: Fuzzy Sets and Possibility Theory have been extensively used in designing a wide class of resolution methods for Multicriteria Decision Problems more particularly Multiobjective Programming. Such appear without common relation as each them arises from particular suitable set hypotheses about factors such that the framework problem, its nature, decision-maker’s behavior, etc. In this paper we present general formulation using possibility theory, or fuzzy sets, to solve multiobjective problems, which contains all aforementioned cases because may be obtained auxiliary problem. First analyze how problem is constructed, main properties well different solution methods. After that, efficiency corresponding solutions dealt with. The finishes with some remarks examples.

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