Affiliations: DIEA, University of Udine, via delle Scienze 206, Udine, Italy | School of Mathematics, College of Science, University of Tehran, Tehran, Iran
Note: [] Corresponding author. Irina Cristea, DIEA, University of Udine, via delle Science 206, 33100 Udine, Italy. E-mail: [email protected] (I. Cristea), [email protected] (M.R. Darafsheh). Supported by grant number 88/2008 of the Romanian Academy.
Abstract: The study of fuzzy subhypergroups of the complete hypergroups is an important area of research in fuzzy structure theory. Since this structure relies on a certain decomposition of a group G,in this paper we consider the cyclic groups of orders p and p2 and prove that they have the required decomposition. Here we use some aspects of group theory to solve a problem in the fuzzy algebraic hyperstructure theory.
