Deriving a final ranking from fuzzy preferences: an approach compatible with the principle of correspondence
Fernandez, E., Cancela, N. and Olmedo, R.
2008 Mathematical and Computer Modelling, 47(1-2): 218-234
Fuzzy preferences; Decision analysis; Prescription; Multiobjective optimization; Evolutionary algorithms
Fernandez, E., Cancela, N. and Olmedo, R., (2008), "Deriving a final ranking from fuzzy preferences: an approach compatible with the principle of correspondence", Mathematical and Computer Modelling, 47(1-2): 218-234.
Abstract:
Up to now, classical decision models and fuzzy approaches for decision-making have been seen as mutually inconsistent proposals. Based on bivalent 0-1 logic, classical decision-making approaches should be particular cases of decision models which consider fuzzy preferences. Here, a new method for deriving a final prescription from a fuzzy preference relation is proposed, which satisfies the so-called Principle of Correspondence. This proposal is more robust than others in relation to irrelevant alternatives, minimizing contradictions between the final prescription and the global model of a decision-maker's preferences previously captured in a fuzzy outranking relation. The resulting complex multiobjective optimization problem is solved by using an operational evolutionary algorithm.
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