International Journal of Computational Intelligence Systems

Volume 14, Issue 1, 2021, Pages 1322 - 1336

The Commutator of Fuzzy Congruences in Universal Algebras

Authors
Gezahagne Mulat Addis1, *, ORCID, Nasreen Kausar2, ORCID, Muhammad Munir3, ORCID, Yu-Ming Chu4, *, ORCID
1Department of Mathematics, University of Gondar, Gondar, Ethiopia
2Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan
3Department of Mathematics, Government Postgraduate College, Abbottabad, Pakistan
4Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science Technology, Changsha, P. R. China
*Corresponding author. Email: gezahagne412@gmail.com; chuyuming@zjhu.edu.cn
Corresponding Authors
Gezahagne Mulat Addis, Yu-Ming Chu
Received 16 November 2020, Accepted 20 March 2021, Available Online 9 April 2021.
DOI
https://doi.org/10.2991/ijcis.d.210329.002How to use a DOI?
Keywords
Universal algebras; Fuzzy congruences; The commutator; Shifting lemma-fuzzy version
Abstract

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.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
1322 - 1336
Publication Date
2021/04/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.d.210329.002How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Gezahagne Mulat Addis
AU  - Nasreen Kausar
AU  - Muhammad Munir
AU  - Yu-Ming Chu
PY  - 2021
DA  - 2021/04/09
TI  - The Commutator of Fuzzy Congruences in Universal Algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 1322
EP  - 1336
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210329.002
DO  - https://doi.org/10.2991/ijcis.d.210329.002
ID  - Addis2021
ER  -