Closure Fuzzy Filters of Decomposable MS-Algebras

Closure Fuzzy Filters of Decomposable MS-Algebras

In this paper, we give some results of closure fuzzy filters of decomposable MS-algebras, characterization of closure fuzzy filters, and homomorphism of closure fuzzy filters. It is observed that the class of all closure fuzzy filters of a decomposable MS-algebra forms a bounded distributive lattice...

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Veröffentlicht in:Topological algebra and its applications 2022-12, Vol.10 (1), p.216-226
Hauptverfasser: Gubena, Yeshiwas Mebrat, Alemayehu, Teferi Getachew, Wondifraw, Yohannes Gedamu
Format: Artikel
Sprache:eng
Schlagworte:
06D99
94D05
closure fuzzy filters
decomposable MS-Algebras
fuzzy filters
homomorphism
MS-algebras
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Zusammenfassung:In this paper, we give some results of closure fuzzy filters of decomposable MS-algebras, characterization of closure fuzzy filters, and homomorphism of closure fuzzy filters. It is observed that the class of all closure fuzzy filters of a decomposable MS-algebra forms a bounded distributive lattice. We have also characterized the class of all closure fuzzy filters of a decopmposable MS-algebra in terms of boosters. Some properties of the homomorphic images and the inverse images of closure fuzzy filters are studied.
ISSN:2299-3231
2299-3231
DOI:10.1515/taa-2022-0128