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Structure of a lattice of fuzzy subgroups

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Publication:1277876
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DOI10.1016/S0165-0114(96)00105-4zbMath0916.20053OpenAlexW1983045996WikidataQ127740041 ScholiaQ127740041MaRDI QIDQ1277876

Jae-Gyeom Kim, Sung Jin Cho

Publication date: 20 July 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(96)00105-4


zbMATH Keywords

sublatticeslattices of fuzzy subgroups


Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Fuzzy groups (20N25)


Related Items (3)

The lattice of fuzzy (left, right) ideals of a ring is modular ⋮ When do \(L\)-fuzzy ideals of a ring generate a distributive lattice? ⋮ A simple computation of MIN and MAX operations for fuzzy numbers



Cites Work

  • Unnamed Item
  • Fuzzy groups: Some group-theoretic analogues
  • Redefined sup-min product of fuzzy subsets and join of fuzzy subgroups
  • The lattices of fuzzy subgroups and fuzzy normal subgroups
  • Fuzzy orders relative to fuzzy subgroups
  • Commutative fuzzy sets and nilpotent fuzzy groups
  • The lattice of fuzzy normal subgroups is modular
  • Lattices of fuzzy subgroupoids, fuzzy submonoids, and subgroups
  • Orders of fuzzy subgroups and fuzzy \(p\)-subgroups
  • Fuzzy groups


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