L-fuzzy covering relation

Authors:
Branimir Šešelja
Affiliations:
Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Serbia
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 15
Cited 1

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Abstract

We investigate lattice-valued (L-fuzzy) covering, or fuzzy neighboring relation arising from a given lattice-valued order. We show that every L-fuzzy covering is obtained by synthesis of crisp coverings arising from the corresponding cut orderings. As a converse, we introduce and investigate lattice-valued relations, which turn out to be fuzzy coverings of fuzzy orders.