Authors: Budimirović, Branka
Budimirović, Vjekoslav
Tepavčević, Andreja 
Title: Fuzzy ε-subgroups
Journal: Information Sciences
Volume: 180
Issue: 20
First page: 4006
Last page: 4014
Issue Date: 15-Oct-2010
Rank: M21a
ISSN: 0020-0255
DOI: 10.1016/j.ins.2010.06.037
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 -subgroups if and only if it is fuzzy completely regular.
Keywords: Fuzzy subgroups
Publisher: Elsevier
Project: Serbian Ministry of Science and Technology, Grant No. 144011
Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, grant “Lattice methods and applications”

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