On the fuzzy pseudo ordered sets
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Date
2021
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Publisher
Université de M'sila
Abstract
In this thesis, we study the notion of fuzzy pseudo ordered sets and some of its interesting
properties, and then we introduce the concept of fuzzy trellis as a natural generalization of the
trellis introduced by Skala with respect to a fuzzy pseudo order relation. In addition, we introduce
the notion of fuzzy ideal (resp. fuzzy filter) as fuzzy sets on a crisp trellis and we present interesting
characterizations of these notions. We pay particular attention to the principal fuzzy ideals (resp.
filters) on a given trellis, which is more complicated than the same notions on a lattice. At the end,
we provide various characterizations of intuitionistic fuzzy ideals (resp. fuzzy filters) on a lattice
Description
Keywords
Pseudo order relation, Pseudo ordered set, Trellis, Lattice, Principal ideal, Principal filter, Fuzzy set , Intuitionistic fuzzy set.