Fuzzy ε-subgroups |
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| Authors: | Branka Budimirovi? |
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| Affiliation: | a Faculty of Computing Sciences, Megatrend University of Belgrade, Bulevar umetnosti 19, 11000 Belgrade, Serbia
b Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia |
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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 ε-subgroups if and only if it is fuzzy completely regular. |
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| Keywords: | Fuzzy subgroups |
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