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Compatible extensions and consistent closures: a fuzzy approach
May 22, 2017 Β· Declared Dead Β· π arXiv.org
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Authors
Irina Georgescu
arXiv ID
1705.07961
Category
cs.AI: Artificial Intelligence
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
Abstract
In this paper $\ast$--compatible extensions of fuzzy relations are studied, generalizing some results obtained by Duggan in case of crisp relations. From this general result are obtained as particular cases fuzzy versions of some important extension theorems for crisp relations (Szpilrajn, Hansson, Suzumura). Two notions of consistent closure of a fuzzy relation are introduced.
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