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Kołodziejczyk, Waldemar

Orlovsky’s concept of decision-making with fuzzy preference relation - further results. (English) Zbl 0597.90004

Fuzzy Sets Syst. 19, 11-20 (1986).
Summary: Orlovsky’s concept of decision-making on a finite set of alternatives with fuzzy preference relation [see S. A. Orlovsky, ibid. 1, 155- 167 (1978; Zbl 0396.90004)] is analysed. Several theorems which extend the possible effective application of that concept for optimization of many decision problems are formulated and proved. New fuzzy preference relations are developed and their basic properties are investigated.

Cited in 36 Documents

MSC:

91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.

Keywords:

unfuzzy nondominated element; decision-making; finite set of alternatives; fuzzy preference relation

Citations:

Zbl 0396.90004
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\textit{W. Kołodziejczyk}, Fuzzy Sets Syst. 19, 11--20 (1986; Zbl 0597.90004)
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References:

[1] Baas, S. M.; Kwakernaak, H., Rating and ranking of multiple-aspect alternative using fuzzy sets, Automatica, 13, 47-58 (1977) · Zbl 0363.90010
[2] Chanas, S.; Kamburowski, J., The fuzzy shortest route problem, Inst. of Management, Techn. Univ. of Wrocław, Report 49 (1983)
[3] Dubois, D.; Prade, H., Fuzzy Sets and Systems, Theory and Applications (1980), Academic Press: Academic Press San Francisco, CA · Zbl 0444.94049
[4] Jain, R., A procedure for multiple-aspect decision making using fuzzy sets, Internat. J. Systems Sci., 8, 1, 1-7 (1977) · Zbl 0347.90001
[5] Kołodziejczyk, W., The method of non-linear ordering of objects on fuzzy data, Inst. of Management, Techn. Univ. of Wrocław, Report 43 (1984)
[6] Nakamura, K., Preference relation between fuzzy outcomes, (The Working Group on Fuzzy Sets and Systems. The Working Group on Fuzzy Sets and Systems, Tokyo, Japan. The Working Group on Fuzzy Sets and Systems. The Working Group on Fuzzy Sets and Systems, Tokyo, Japan, Report 5 (1979))
[7] Orlovsky, S. A., Decision-making with a fuzzy preference relation, Fuzzy Sets and Systems, 1, 3, 155-167 (1978) · Zbl 0396.90004
[8] Orlovsky, S. A., On formalization of a general fuzzy mathematical problem, Fuzzy Sets and Systems, 3, 311-321 (1980) · Zbl 0435.90008
[9] Tanino, T., Fuzzy preference orderings in group decision making, Fuzzy Sets and Systems, 12, 117-131 (1984) · Zbl 0567.90002
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