Abstract
A multicriteria decision making model with a collection of fuzzy preference relations is presented, A concept of the nonfuzzy set of nondominated alternatives is formulated for this case. It is analogous to the Pareto set in the multicriteria decision making theory. The possibility of representation of that collection by one fuzzy preference relation, called the convolution, is studied. An interconnection of the multicriteria and fuzzy decision making models is examined.
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References
Karlin, S. (1359), Mathematical Methods and Theory in Games, Programming and Economics, Pergamon Press, London.
Orlovski, S.A. (1978). Decision making with a fuzzy preference relation. Int. J. Fuzzy Sets and Syst. 1, 155–167.
Zadeh, L.A. (1965). Fuzzy Sets. Inform, and Contr. 8, 338–353.
Zhukovin, V.E. (1983). Multicriteria Decision Making Models with Uncertainty (in Russian). Metsniereba, Tbilisi.
Zhukovin, V.E. (1984). The multicriteria decision making with vector fuzzy preference relation. In R. Trappl (ed.), Cybernetics and Systems Research. Amsterdam, 179–181.
Zhukovin, V.E., and F.V. Burshtein (1981). The Dialogue Procedure of the Choice of the Best Decision with Respect to Multiple Objectives and Non-Complete Information, (in Russian). Report Tbilisi University, 19–32.
Zhukovin, V.E., F.V. Burshtein, and A.B. Zaslavski (1980). Mul-ticriterial dialogue procedure of the best decision choice under uncertainty (in Russian). Proc. KPI, Kutaisi, 66–69.
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© 1987 Springer Science+Business Media Dordrecht
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Zhukovin, V.E. (1987). A Fuzzy Multicriteria Decision Making Model. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_14
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DOI: https://doi.org/10.1007/978-94-009-3869-4_14
Publisher Name: Springer, Dordrecht
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