The Commutator of Fuzzy Congruences in Universal Algebras

Authors

Gezahagne Mulat Addis^{1, *,} , Nasreen Kausar^2, , Muhammad Munir^3, , Yu-Ming Chu^{4, *,}

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

DOI

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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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  - 10.2991/ijcis.d.210329.002
ID  - Addis2021
ER  -