Counting fuzzy subgroups of some finite groups by a new equivalence relation
Filomat, Tome 33 (2019) no. 19, p. 6151

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The study concerning the classification of the fuzzy subgroups of finite groups is a significant aspect of fuzzy group theory. In early papers, the number of distinct fuzzy subgroups of some non-abelian groups is calculated by the natural equivalence relation. In this paper, we treat to classifying fuzzy subgroups of some groups by a new equivalence relation which has a consistent group theoretical foundation. In fact, we determine exact number of fuzzy subgroups of finite non-abelian groups of order p 3 and special classes of dihedral groups
DOI : 10.2298/FIL1919151K
Classification : 20N25, 20E15, 20D45
Keywords: Equivalence relation, Fuzzy subgroup, Chain of subgroups, Level subgroup, Automorphism group, Dihedral group
Leili Kamali Ardekania. Counting fuzzy subgroups of some finite groups by a new equivalence relation. Filomat, Tome 33 (2019) no. 19, p. 6151 . doi: 10.2298/FIL1919151K
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     author = {Leili Kamali Ardekania},
     title = {Counting fuzzy subgroups of some finite groups by a new equivalence relation},
     journal = {Filomat},
     pages = {6151 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919151K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919151K/}
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