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https://open.uns.ac.rs/handle/123456789/31507
Title: | E-fuzzy groups | Authors: | Budimirovic Branka Budimirovic Vjekoslav Seselja Branimir Tepavcevic Andreja |
Issue Date: | 2016 | Journal: | Fuzzy Sets and Systems | Abstract: | © 2015 Elsevier B.V. An E-fuzzy group is a lattice-valued algebraic structure, defined on a crisp algebra which is not necessarily a group. The crisp equality is replaced by a particular fuzzy one - denoted by E. The classical group-like properties are formulated as appropriate fuzzy identities - special lattice-theoretic formulas. We prove basic features of E-fuzzy groups: properties of the unit and inverses, cancellability, solvability of equations, subgroup properties and others. We also prove that for every cut of an E-fuzzy group, which is a classical subalgebra of the underlying algebra, the quotient structure over the corresponding cut of the fuzzy equality is a classical group. | URI: | https://open.uns.ac.rs/handle/123456789/31507 | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2015.03.011 |
Appears in Collections: | PMF Publikacije/Publications |
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