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摘要
En 中文
The seminal paper by Luce [Econometrica 24 (1956) 178] on intransitive indifference provoked a rich body of research on how to model such a type of indifference. Interval orders and semi-orders play a central role in the modelization of intransitive indifference. This paper is an attempt to fuzzify interval orders and semi-orders. We use an additive fuzzy preference structure to argue for a fuzzification of interval and semi-orders. We show that fuzzy interval orders are to a degree semi-orders, however, against expectations, we cannot show that fuzzy interval graphs are to a degree fuzzy indifference graphs. (C) 2002 Elsevier Science B.V. All rights reserved.
Keyword:
fuzzy sets
additive fuzzy preferences
semi-(interval) order
interval (indifference) graphs
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IF:
6
论文数:
2.2W
被引数:
6.4W
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