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On transitivity of fuzzy preference relations in ranking fuzzy numbers. (English) Zbl 0874.90008
Ruan, Da (ed.), Fuzzy set theory and advanced mathematical applications. Boston, MA: Kluwer Academic Publishers. Int. Ser. Intell. Technol. 4, 155-173 (1995).
Summary: We first carry out further investigations into relations between several existing transitivity-related notions in ranking alternatives or fuzzy numbers. Then we pay attention to the discussion of transitivity properties of some practical fuzzy preference relations introduced by Dubois and Prade. Finally, we develop an ordering procedure of alternatives under the assumption of some certain weak transitivity.
For the entire collection see [Zbl 0865.00037].

MSC:
91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.
91B06 Decision theory
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