| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 395074 | Information Sciences | 2010 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Branka Budimirović, Vjekoslav Budimirović, Andreja Tepavčević,