Fuzzy congruences in groups

DOI10.1016/0165-0114(95)00334-7zbMath0908.20047OpenAlexW1965051842MaRDI QIDQ1267524

Deok Rak Bae, Ju Pil Kim

Publication date: 7 March 1999

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(95)00334-7

zbMATH Keywords

fuzzy congruenceslattices of fuzzy normal subgroups

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Subalgebras, congruence relations (08A30) Fuzzy groups (20N25)

Related Items (14)

Representation of lattices by fuzzy weak congruence relations ⋮ Fuzzy sets and sheaves. I: Basic concepts ⋮ Fuzzy sets and sheaves. II: Sheaf-theoretic foundations of fuzzy set theory with applications to algebra and topology ⋮ On fuzzy congruence relation in residuated lattices ⋮ Fuzzy ideals in pseudo-hoop algebras ⋮ Generalized \(\mathcal TL\)-fuzzy rough rings via \(\mathcal TL\)-fuzzy relational morphisms. ⋮ The \(\vartheta \)-lower and \(T\)-upper fuzzy rough approximation operators on a semigroup ⋮ L-fuzzy congruences and L-fuzzy kernel ideals in Ockham algebras ⋮ Algebraic relations over \(l\)-fuzzy soft groups ⋮ Groups operating on fuzzy sets ⋮ REDUCING FUZZY ALGEBRA TO CLASSICAL ALGEBRA ⋮ Distributivity in lattices of fuzzy subgroups. ⋮ Embedding lattices of fuzzy subalgebras into lattices of crisp subalgebras ⋮ TL-fuzzy set valued homomorphisms and generalized (I,T)-L-fuzzy rough sets on groups

Cites Work

• Fuzzy normal subgroups and fuzzy cosets
• Fuzzy invariant subgroups and fuzzy ideals
• On fuzzy subgroups
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