Abstract
We shall extend in this paper the class of all fuzzy subsets of a set, in such a way that they will correspond to some preference relations. This procedure is used to generate fuzzy sets from orderings. Then applications of this idea to fuzzy optimization are given. These problems are also related to multiobjective decision-making.
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References
R. E. Bellman and L. A. Zadeh, “Decision Making in a fuzzy Environment” Management Science 17, B141–162 (1970).
C. V. Negoita and D. A. Ralescu, Applications of Fuzzy Sets to Systems Analysis (Wiley, New York, 1975).
C. V. Negoita and D. A. Ralescu, “On fuzzy optimization” Kybernetes 6, 193–195 (1977).
D. A. Ralescu, “Inexact solutions for large-scale control problems” in Proc. of the First International Congress on Mathematics at the Service of Man, Barcelona, Spain, July 1977 (to appear).
H. Tanaka, T. Okuda and K. Asai, “On fuzzy Mathematical Programming” J. Cybernetics 3, 37–46 (1974).
L. A. Zadeh, “Fuzzy Sets” Information and Control 8, 338–353 (1965).
L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility” Memo ERL M 77/12 (Univ. of California, Berkeley, 1977).
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© 1978 The World Organisation of General Systems and Cybernetics
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Ralescu, D.S. (1978). Ordering, Preferences and Fuzzy Optimization. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_237
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DOI: https://doi.org/10.1007/978-3-642-93104-8_237
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