On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups
In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of these phenomena. In addition, we characterize the...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2703489 |
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| Summary: | In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of these phenomena. In addition, we characterize the quotient group induced by this particular fuzzy normal subgroup and establish a group isomorphism between the quotient groups G/κμ and G/κ∗μ. Furthermore, we initiate the study of level subgroup, open level subgroup, and tangible subgroup of a μ-fuzzy subgroup and emphasize the significance of μ-fuzzy normal subgroups by establishing a relationship between these newly defined notions and μ-fuzzy normal subgroup. |
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| ISSN: | 2314-8888 |