The concepts of (l ,m)−fuzzy subsemigroup and various (l ,m)−fuzzy ideals of a semigroup were introduced by generalizing (∈,∈∨q)−fuzzy subsemigroup and (∈,∈∨q)−fuzzy ideal. The regular semigroup was characterized by the properties of the middle parts of various (l ,m)−fuzzy ideals, and several equivalence conditions of regular semigroups were obtained.
Digital Object Identifier (DOI)
"Characterizations of Regular Semigroups,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 30.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss2/30