On fuzzy ideals of fuzzy lattice

We characterize a fuzzy lattice through a fuzzy partial order relation, define a fuzzy ideal and fuzzy filter of fuzzy lattice, characterize a fuzzy ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is a fuzzy ideal if and only if its support is a c...

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Hauptverfasser: Mezzomo, I., Bedregal, B. C., Santiago, R. H. N.
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creator Mezzomo, I.
Bedregal, B. C.
Santiago, R. H. N.
description We characterize a fuzzy lattice through a fuzzy partial order relation, define a fuzzy ideal and fuzzy filter of fuzzy lattice, characterize a fuzzy ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is a fuzzy ideal if and only if its support is a crisp ideal. Similarly, we show the same for its level set.
doi_str_mv 10.1109/FUZZ-IEEE.2012.6251307
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subjects Educational institutions
Fuzzy sets
Informatics
Lattices
Level set
Upper bound
title On fuzzy ideals of fuzzy lattice
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