Filters and ideals in a fuzzy lattice

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Date

2019

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Journal ISSN

Volume Title

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UNIVERSITE MOHAMED BOUDIAF - M’SILA- FACULTE MATHEMATIQUES ET DE L’INFORMATIQUE

Abstract

In this memory, we will study some characterizations of filters, ideals, fuzzy filters, fuzzy ideals, α-filters, α-ideals, prime filters and prime ideals of a fuzzy lattice. We will recall the notion of isomorphism between fuzzy lattices, also the converse image of a fuzzy prime filter will be characterized via an isomorphism.

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Keywords

Fuzzy lattice, fuzzy filter, fuzzy ideal, α-filter, α-ideal, lattices homomorphism.

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