The Commutator of Fuzzy Congruences in Universal Algebras

The Commutator of Fuzzy Congruences in Universal Algebras

We develop the commutator theory for fuzzy congruence relations of general universal algebras. In particular, for algebras in modular varieties, we characterize the commutator of fuzzy congruences using the Day’s terms.

Bibliographic Details
Main Authors: Gezahagne Mulat Addis, Nasreen Kausar, Muhammad Munir, Yu-Ming Chu
Format: Article
Language:English
Published: Atlantis Press 2021-04-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Universal algebras
Fuzzy congruences
The commutator
Shifting lemma-fuzzy version
Online Access:https://www.atlantis-press.com/article/125955216/view
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spelling doaj-16cfaf273d8c421084f08e4590dc14b62021-04-26T14:29:59ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832021-04-0114110.2991/ijcis.d.210329.002The Commutator of Fuzzy Congruences in Universal AlgebrasGezahagne Mulat AddisNasreen KausarMuhammad MunirYu-Ming ChuWe develop the commutator theory for fuzzy congruence relations of general universal algebras. In particular, for algebras in modular varieties, we characterize the commutator of fuzzy congruences using the Day’s terms.https://www.atlantis-press.com/article/125955216/viewUniversal algebrasFuzzy congruencesThe commutatorShifting lemma-fuzzy version
collection DOAJ
language English
format Article
sources DOAJ
author Gezahagne Mulat Addis
Nasreen Kausar
Muhammad Munir
Yu-Ming Chu
spellingShingle Gezahagne Mulat Addis
Nasreen Kausar
Muhammad Munir
Yu-Ming Chu
The Commutator of Fuzzy Congruences in Universal Algebras
International Journal of Computational Intelligence Systems
Universal algebras
Fuzzy congruences
The commutator
Shifting lemma-fuzzy version
author_facet Gezahagne Mulat Addis
Nasreen Kausar
Muhammad Munir
Yu-Ming Chu
author_sort Gezahagne Mulat Addis
title The Commutator of Fuzzy Congruences in Universal Algebras
title_short The Commutator of Fuzzy Congruences in Universal Algebras
title_full The Commutator of Fuzzy Congruences in Universal Algebras
title_fullStr The Commutator of Fuzzy Congruences in Universal Algebras
title_full_unstemmed The Commutator of Fuzzy Congruences in Universal Algebras
title_sort commutator of fuzzy congruences in universal algebras
publisher Atlantis Press
series International Journal of Computational Intelligence Systems
issn 1875-6883
publishDate 2021-04-01
description We develop the commutator theory for fuzzy congruence relations of general universal algebras. In particular, for algebras in modular varieties, we characterize the commutator of fuzzy congruences using the Day’s terms.
topic Universal algebras
Fuzzy congruences
The commutator
Shifting lemma-fuzzy version
url https://www.atlantis-press.com/article/125955216/view
work_keys_str_mv AT gezahagnemulataddis thecommutatoroffuzzycongruencesinuniversalalgebras
AT nasreenkausar thecommutatoroffuzzycongruencesinuniversalalgebras
AT muhammadmunir thecommutatoroffuzzycongruencesinuniversalalgebras
AT yumingchu thecommutatoroffuzzycongruencesinuniversalalgebras
AT gezahagnemulataddis commutatoroffuzzycongruencesinuniversalalgebras
AT nasreenkausar commutatoroffuzzycongruencesinuniversalalgebras
AT muhammadmunir commutatoroffuzzycongruencesinuniversalalgebras
AT yumingchu commutatoroffuzzycongruencesinuniversalalgebras
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