Fuzzy ε-subgroups

Authors:
Branka Budimirović;Vjekoslav Budimirović;Andreja Tepavčević
Affiliations:
Faculty of Computing Sciences, Megatrend University of Belgrade, Bulevar umetnosti 19, 11000 Belgrade, Serbia;Faculty of Computing Sciences, Megatrend University of Belgrade, Bulevar umetnosti 19, 11000 Belgrade, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia
Venue:
Information Sciences: an International Journal
Year:
2010

Citing 15
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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 @e-subgroups if and only if it is fuzzy completely regular.