Fuzzy congruences on AG-group
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...
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AIMS Press
2021-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021105 |
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doaj-d26551db265e4e35bfa81a160576e6b32020-12-16T01:35:31ZengAIMS PressAIMS Mathematics2473-69882021-12-01621754176810.3934/math.2021105Fuzzy congruences on AG-groupAman Ullah0Akram Khan1Ali Ahmadian2Norazak Senu 3Faruk Karaaslan4Imtiaz Ahmad51. Department of Mathematics, University of Malakand, Chakadar, Dir (L), Pakistan1. Department of Mathematics, University of Malakand, Chakadar, Dir (L), Pakistan2. 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, Malaysia3. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia 4. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia5. Department of Mathematics, Faculty of Sciences, Çankırı Karatekin, University, 18100, Çankırı, Turkey1. Department of Mathematics, University of Malakand, Chakadar, Dir (L), PakistanIn 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.http://www.aimspress.com/article/doi/10.3934/math.2021105fuzzy equivalence relationcompatiblecongruence relationag-groupfuzzy normal ag-group |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aman Ullah Akram Khan Ali Ahmadian Norazak Senu Faruk Karaaslan Imtiaz Ahmad |
| spellingShingle |
Aman Ullah Akram Khan Ali Ahmadian Norazak Senu Faruk Karaaslan Imtiaz Ahmad Fuzzy congruences on AG-group AIMS Mathematics fuzzy equivalence relation compatible congruence relation ag-group fuzzy normal ag-group |
| author_facet |
Aman Ullah Akram Khan Ali Ahmadian Norazak Senu Faruk Karaaslan Imtiaz Ahmad |
| author_sort |
Aman Ullah |
| title |
Fuzzy congruences on AG-group |
| title_short |
Fuzzy congruences on AG-group |
| title_full |
Fuzzy congruences on AG-group |
| title_fullStr |
Fuzzy congruences on AG-group |
| title_full_unstemmed |
Fuzzy congruences on AG-group |
| title_sort |
fuzzy congruences on ag-group |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-12-01 |
| description |
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. |
| topic |
fuzzy equivalence relation compatible congruence relation ag-group fuzzy normal ag-group |
| url |
http://www.aimspress.com/article/doi/10.3934/math.2021105 |
| work_keys_str_mv |
AT amanullah fuzzycongruencesonaggroup AT akramkhan fuzzycongruencesonaggroup AT aliahmadian fuzzycongruencesonaggroup AT norazaksenu fuzzycongruencesonaggroup AT farukkaraaslan fuzzycongruencesonaggroup AT imtiazahmad fuzzycongruencesonaggroup |
| _version_ |
1724381796078977024 |