Reconstruction Methods for Incomplete Fuzzy Preference Relations: A Numerical Comparison

Authors:
Matteo Brunelli;Michele Fedrizzi;Silvio Giove
Affiliations:
Dipartimento di Informatica e Studi Aziendali, Università di Trento, Via Inama 5, TN 38100 Trento, Italy;Dipartimento di Informatica e Studi Aziendali, Università di Trento, Via Inama 5, TN 38100 Trento, Italy;Dipartimento di Matematica Applicata, Università di Venezia Dorsoduro, 3825/E, Venezia, Italy
Venue:
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Year:
2007

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Abstract

In this paper we compare, by means of numerical simulations, seven different methods for reconstructing incomplete fuzzy preference relations. We consider the case of highly inconsistent preference relations as well as the case of preference relations close to consistency. We compare the numerical results on the basis of the consistency of the reconstructed preference relations.