Fuzzy hyperrings.

DOI10.1016/j.fss.2008.11.007zbMath1179.16029OpenAlexW2913778196MaRDI QIDQ1040917

Violeta Leoreanu Fotea, Bijan Davvaz

Publication date: 27 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.11.007

zbMATH Keywords

homomorphismsfundamental relationsfuzzy regular relationfuzzy hyperrings

Mathematics Subject Classification ID

Hypergroups (20N20) Fuzzy algebraic structures (08A72) Generalizations (16Y99)

Related Items (31)

New fundamental relation and complete part of fuzzy hypermodules ⋮ A new type of fuzzy \(n\)-ary hyperstructures. ⋮ Unnamed Item ⋮ Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals ⋮ Applications of rough soft sets to Krasner (m,n)-hyperrings and corresponding decision making methods ⋮ Fuzzy Krasner \((m,n)\)-hyperrings. ⋮ Study of \(\Gamma \)-hyperrings by fuzzy hyperideals with respect to a t-norm ⋮ Fuzzy hypergroups based on fuzzy relations. ⋮ Fuzzy join \(n\)-ary spaces and fuzzy canonical \(n\)-ary hypergroups. ⋮ On (fuzzy) isomorphism theorems of \(\Gamma\)-hyperrings. ⋮ Lower and upper fuzzy topological subhypergroups ⋮ On fuzzy preordered structures and (fuzzy) hyperstructures. ⋮ Fuzzy hyperlattices ⋮ Structure of intuitionistic fuzzy sets in \(\Gamma\)-semihyperrings. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fuzzy hyperrings and fundamental relation ⋮ Fuzzy hyperstructural patterns of some genetic phenomena ⋮ Fuzzy hyperalgebras ⋮ The \(L\)-fuzzy hypermodules. ⋮ Fuzzy hyperrings (\(H_v\)-rings) based on fuzzy universal sets. ⋮ On \(k\)-regularities in fuzzy semihyperrings ⋮ Topological structures of lower and upper rough subsets in a hyperring ⋮ The \(L\)-ordered \(L\)-semihypergroups ⋮ Unnamed Item ⋮ Fuzzy hypermodules ⋮ Fundamental relation on fuzzy hypermodules ⋮ Some generalized forms of fuzzy interval valued hyperideals in a hyperring ⋮ DIFFERENTIAL MULTIPLICATIVE HYPERRINGS ⋮ Multiplicative F(m,n)-Hyperrings ⋮ Normal subfuzzy (m,n)-hypermodules

Cites Work

• Generalized fuzzy sub-hyperquasigroups of hyperquasigroups.
• \(n\)-hypergroups and binary relations.
• Fuzzy hypersemigroups.
• Fuzzy \(H_v\)-groups
• Fuzzy \(H_v\)-submodules
• Fuzzy groups
• An example of \(L\)-fuzzy join space
• \(L\)-fuzzy \(\curlyvee\) and \(\curlywedge\) hyperoperations and the associated \(L\)-fuzzy hyperalgebras
• Fuzzy sets and join spaces associated with rough sets
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