Abstract
A general decision-making problem is considered in which a set of alternatives and a non-strict preference relation specified in this set are of fuzzy nature. The corresponding fuzzy equivalence and strict preference relations are defined which allow to introduce a fuzzy set of non-dominated solutions. It is shown that under some weak topological conditions unfuzzy non-dominated solutions to the problem exist. The questions of equivalence of these solutions are studied and a method of calculating these solutions is suggested.
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References
L. A. Zadeh, “Similarity & relations and fuzzy orderings” Inf. Sei. 3, 177–200 (1971).
M. Shimura, “Fuzzy sets concepts in rank ordering objects” J. Math. Anal. Appi. 43, 717–733 (1973).
S. Tamura et al., “Pattern classification based on fuzzy relations” IEEE Trans. SMC-1, 61–66 (1971).
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© 1978 The World Organisation of General Systems and Cybernetics
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Orlovsky, S.A. (1978). Decision-making With a Fuzzy Preference Relation in a Fuzzy Set of Alternatives. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_236
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DOI: https://doi.org/10.1007/978-3-642-93104-8_236
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93106-2
Online ISBN: 978-3-642-93104-8
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