ON CERTAIN FUNDAMENTAL PROPERTIES OF HYPER- GROUPS AND FUZZY HYPERGROUPS – MIMIC FUZZY HYPERGROUPS

Abstract

In this paper, properties of hypergroups pertaining to the relationship between the hypercomposition and induced hypercompositions with the empty set are presented. Analogous fuzzy hypergroup properties are also proven. Finally, the study of these properties leads to the introduction of the mimic fuzzy hypergroup (fuzzyM hypergroup).