A complete study of the lattices of fuzzy congruences and fuzzy normal subgroups

DOI10.1016/0020-0255(94)00050-LzbMath0871.20056OpenAlexW2057265606MaRDI QIDQ1358809

Naseem Ajmal, K. V. Thomas

Publication date: 6 October 1997

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0255(94)00050-l

zbMATH Keywords

latticesfuzzy equivalence relationsfuzzy normal subgroupsfuzzy subgroups\(t\)-fuzzy congruences\(t\)-fuzzy equivalences

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Chains and lattices of subgroups, subnormal subgroups (20E15) Subalgebras, congruence relations (08A30) Fuzzy groups (20N25) Modular lattices, Desarguesian lattices (06C05)

Related Items

Representation of lattices by fuzzy weak congruence relations, Some constructions of the join of fuzzy subgroups and certain lattices of fuzzy subgroups with sup property., When do \(L\)-fuzzy ideals of a ring generate a distributive lattice?, The lattice of fuzzy normal subgroups is modular, Generalized fuzzy sub-hyperquasigroups of hyperquasigroups., Fuzzy groups with sup property, A study of normal fuzzy subgroups and characteristic fuzzy subgroups of a fuzzy group., The join of fuzzy algebraic substructures of a group and their lattices, The lattice of \(L\)-ideals of a ring is modular., Distributivity in lattices of fuzzy subgroups.

Cites Work

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• Fuzzy equivalence relations
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• Fuzzy congruences and fuzzy normal subgroups
• The lattices of fuzzy subgroups and fuzzy normal subgroups
• Fuzzy lattices
• Fuzzy groups
• Similarity relations and fuzzy orderings
• Fuzzy sets