Compatible extensions and consistent closures: a fuzzy approach

2017/05/22 by Irina Georgescu, Georgescu, Irina
Computer Science · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #cs.AI

paper · pdf · doi:10.48550/arxiv.1705.07961

arxiv created 2017/05/22 · arxiv updated 2017/05/24

Abstract

In this paper ∗--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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