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Abstract
In this paper, Orlovsky's concept of decision making with fuzzy preference relation is studied. On the one hand, the special significance of max-min transitivity inside the family of max-⋆ transitivities is stablished. On the other hand, a necessary and sufficient condition for the existence of a non empty set of unfuzzy nondominated alternatives is proved. Moreover, other alternative methods are proposed in order to solve some practical difficulties.
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References
Basu, K.: Fuzzy revealed preference theory. J. Econ. Theory 32, 212–227 (1984).
Bezdek, J.C., Harris, J.D.: Fuzzy partitions and relations: an axiomatic basis for clustering. Fuzzy Sets Syst. 1, 111–117 (1978).
Dubois, D., Prade, H.: Fuzzy Sets and Systems. New York: Academic Press (1980).
Dutta, B., Panda, S.C., Pattanaik, P.K.: Exact choice and fuzzy preferences. Math. Soc. Sci. 11, 53–68 (1986).
Montero, F.J., Tejada, J.: Some problems on the definition of fuzzy preference relations. Fuzzy Sets Syst. 20, 45–53 (1986).
Orlovsky, S.A.: Decision-making with fuzzy preference relations. Fuzzy Sets Syst. 1, 155–167 (1978).
Pattanaik, P.K.: Voting and Collective choice. London: Cambridge U.K. (1971).
Zadeh, L.A.: Fuzzy Sets. Inf. Control 8, 338–353 (1965).
Zadeh, L.A.: Similarity relations and fuzzy orderings. Inf. Sci. 3, 177–200 (1971).
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Dept. Estadística e I.O. Fac. CC. Matemáticas, Universidad Complutense, 28040, Madrid, Spain
F. J. Montero & J. Tejada
- F. J. Montero
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- J. Tejada
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© 1987 Springer-Verlag Berlin Heidelberg
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Montero, F.J., Tejada, J. (1987). Fuzzy preferences in decision-making. In: Bouchon, B., Yager, R.R. (eds) Uncertainty in Knowledge-Based Systems. IPMU 1986. Lecture Notes in Computer Science, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18579-8_13
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