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Cited by 2 publications
(4 citation statements)
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“…The requirement of transitivity for the asymmetric part of a binary relation is not easy to justify, and has been challenged by Kreweras (1961), Burros (1974), Bell (1982), Fishburn (1984), Anand (1987), Fishburn and Lavalle (1987), Loomes, Starmer, and Sugden (1991), Dombi and Vincze (1994), and many others. Hence the modeling of preferences by acyclic binary relations, where both symmetric and asymmetric components are not necessarily transitive.…”
Section: Introductionmentioning
confidence: 98%
“…The requirement of transitivity for the asymmetric part of a binary relation is not easy to justify, and has been challenged by Kreweras (1961), Burros (1974), Bell (1982), Fishburn (1984), Anand (1987), Fishburn and Lavalle (1987), Loomes, Starmer, and Sugden (1991), Dombi and Vincze (1994), and many others. Hence the modeling of preferences by acyclic binary relations, where both symmetric and asymmetric components are not necessarily transitive.…”
Section: Introductionmentioning
confidence: 98%
“…Finally, examples are presented of k-cyclic preferences which have a convex, concave and 0.4-linear form. The following results can be found in the article [21].…”
Section: Contentsmentioning
confidence: 69%
“…About a general concept of the preference cycles and its representation, see [21]. In the evaluation of alternatives, according to the c k criteria the values x k , and y k would be numerical values or categories.…”
Section: Example Of 3-cyclic Preference Functionmentioning
confidence: 99%
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