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• W2023347742 abstract "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." @default.
• W2023347742 created "2016-06-24" @default.
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• W2023347742 date "2016-04-01" @default.
• W2023347742 modified "2023-10-14" @default.
• W2023347742 title "E-fuzzy groups" @default.
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• W2023347742 doi "https://doi.org/10.1016/j.fss.2015.03.011" @default.
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