Fuzzy congruences on AG-group

Aman Ullah; Akram Khan; Ali Ahmadian; Norazak Senu; Faruk Karaaslan; Imtiaz Ahmad

doi:10.3934/math.2021105

AIMS Mathematics (Dec 2021)

Fuzzy congruences on AG-group

Aman Ullah,
Akram Khan,
Ali Ahmadian,
Norazak Senu ,
Faruk Karaaslan,
Imtiaz Ahmad

Affiliations

Aman Ullah: 1. Department of Mathematics, University of Malakand, Chakadar, Dir (L), Pakistan
Akram Khan: 1. Department of Mathematics, University of Malakand, Chakadar, Dir (L), Pakistan
Ali Ahmadian: 2. Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia 3. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia
Norazak Senu: 3. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia 4. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia
Faruk Karaaslan: 5. Department of Mathematics, Faculty of Sciences, Çankırı Karatekin, University, 18100, Çankırı, Turkey
Imtiaz Ahmad: 1. Department of Mathematics, University of Malakand, Chakadar, Dir (L), Pakistan

DOI: https://doi.org/10.3934/math.2021105
Journal volume & issue: Vol. 6, no. 2
pp. 1754 – 1768

Abstract

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In this paper, we establish the idea of fuzzy congruences on Abel-Grassmann's group (AG-group). We investigate different outcomes of fuzzy-congruences on AG-groups in detail and give some examples to illustrate the newly established results. We develop the relation between fuzzy congruence and fuzzy normal subgroup. In the end, we also provide some results of fuzzy homomorphism on AG-groups.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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