| 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 | 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 -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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