Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations

The aim of this paper is to study the integration of multiplicative preference relation as a preference representation structure in fuzzy multipurpose decision-making problems. Assuming fuzzy multipurpose decision-making problems under different preference representation structures (ordering, utilities and fuzzy preference relations) and using the fuzzy preference relations as uniform representation elements, the multiplicative preference relations are incorporated in the decision problem by means of a transformation function between multiplicative and fuzzy preference relations. A consistency study of this transformation function, which demonstrates that it does not change the informative content of multiplicative preference relation. is shown. As a consequence, a selection process based on fuzzy majority for multipurpose decision-making problems under multiplicative preference relations is presented. To design it, an aggregation operator of information, called ordered weighted geometric operator, is introduced, and two choice degrees, the quantifier-guided dominance degree and the quantifier-guided non-dominance degree, are defined for multiplicative preference relations. (C) 2001 Elsevier Science B.V. All rights reserved.