On the number of fuzzy subgroups of finite abelian groups

Authors:
Marius Tărnăuceanu;Lucian Bentea
Affiliations:
Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania;Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

The main goal of this paper is to give an explicit formula for the number of fuzzy subgroups of a finite cyclic group. By using a similar method, some important steps in counting the number of fuzzy subgroups of a finite elementary abelian p-group are also made.