Abstract
A ranking of alternatives is constructed in the framework of the fuzzy preference relations that are complementary to the unit (CU-relations).
It is proved that the further assumption of weak transitivity is a sufficient condition for the ranking of the alternative set.
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References
J.M. Blin - A.B. Whinston, “Fuzzy Sets and Social Choice”, Journal of Cybernetics, 1974, 3, 4, pp. 28–36.
J.M. Blin, “Fuzzy Relations in Group Decision Theory, Journal of Cybernetics, 1974, 4, 2, pp. 17–22.
A. Fadini - L. Basile, “Su certe relazioni sfocate di preferenza per processi decisori, ‘Atti’ dell’Accademia Pontaniana, vol. XXVIII, 1979, pp. 267–284.
S.A. Orlovsky, “Decision-making with a fuzzy preference relation”, Fuzzy Sets and System 1, 1978, pp. 155–167.
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© 1990 Kluwer Academic Publishers
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Basile, L. (1990). Ranking Alternatives by Weak Transitivity Relations. In: Kacprzyk, J., Fedrizzi, M. (eds) Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2109-2_10
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DOI: https://doi.org/10.1007/978-94-009-2109-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7448-3
Online ISBN: 978-94-009-2109-2
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