Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 129, Issue 2, Pages 372-385Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-2217(99)00197-6
Keywords
multiperson decision-making; preference orderings; utility functions; multiplicative preference relations; aggregation operators; fuzzy majority; choice degrees
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A multiperson decision-making problem, where the information about the alternatives provided by the experts can be presented by means of different preference representation structures (preference orderings, utility functions and multiplicative preference relations) is studied. Assuming the multiplicative preference relation as the uniform element of the preference representation, a multiplicative decision model based on fuzzy majority is presented to choose the best alternatives. In this decision model, several transformation functions are obtained to relate preference orderings and utility functions with multiplicative preference relations. The decision model uses the ordered weighted geometric operator to aggregate information and two choice degrees to rank the alternatives, quantifier guided dominance degree and quantifier guided non-dominance degree. The consistency of the model is analysed to prove that it acts coherently. (C) 2001 Elsevier Science B.V. All rights reserved.
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