Author/Authors :
Branka Budimirovic، Branka Budimirovic نويسنده Branka Budimirovic, Branka Budimirovic , Vjekoslav Budimirovic، Vjekoslav Budimirovic نويسنده Vjekoslav Budimirovic, Vjekoslav Budimirovic , Andreja Tepav?evi?، نويسنده ,
Abstract :
The aim of the paper is to investigate the known classical problem of a partition of a semigroup into a family of groups in the lattice-valued (fuzzy) framework. For that purpose, a fuzzy subgroup of a fuzzy subsemigroup is introduced and characterized by cuts, using the cutworthy approach. As a main result it is proved that a fuzzy subsemigroup can be partitioned (using special type of fuzzy partitions) into a family of fuzzy ε-subgroups if and only if it is fuzzy completely regular.
