Complete Parts and Fundamental Relation of Fuzzy Hypersemigroups
R. Ameri and T. Nozart
We introduce and study fundamental relation of fuzzy hypersemigroups. Also we introduce the notion of a complete part of a fuzzy hypersemigroup and investigate its basic properties. Finally, we study the relationship between the fundamental relation and complete parts of a given fuzzy hypersemigroup.
Keywords: Fuzzy hypersemigroup, Fuzzy regular relation, Fundamental relation, Complete part, Complete closure.