On the converse of Fuzzy Lagrange's Theorem

Article type: Research Article

Authors: Tărnăuceanu, Marius

Affiliations: Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania

Note: [] Corresponding author. Marius Tărnăuceanu, Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania. Email: tarnauc@uaic.ro

Abstract: In fuzzy group theory many versions of the well-known Lagrange's theorem have been studied. The aim of this article is to investigate the converse of one of those results. This leads to an interesting characterization of finite cyclic groups.

Keywords: Fuzzy groups, fuzzy subgroups, fuzzy orders, fuzzy Lagrange's theorems, cyclic groups, ZM-groups, (relative) orders, (relative) exponents

DOI: 10.3233/IFS-131115

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 3, pp. 1487-1490, 2014