Fuzzy ideals of BCI and MV-algebras

DOI10.1016/0165-0114(94)90078-7zbMath0826.06011OpenAlexW2058648378MaRDI QIDQ1896311

C. S. Hoo

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90078-7

zbMATH Keywords

MV-algebrasBCI-algebrasfuzzy implicative ideals

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Related Items (16)

Fuzzy maximal ideals of BCI and MV algebras ⋮ Fuzzy implicative and Boolean ideals of \(MV\)-algebras ⋮ The socle and fuzzy socle of a \(\text{BCI}\)-algebra ⋮ Topological MV-algebras ⋮ Fuzzy filter spectrum of a BCK algebra ⋮ \(\mathcal{L}\)-fuzzy annihilators in residuated lattices ⋮ Fuzzy \(n\)-fold BCI-positive implicative ideals in BCI-algebras ⋮ Fuzzy filters and fuzzy prime filters of bounded \(R\ell \)-monoids and pseudo BL-algebras ⋮ Fuzzy prime ideal theorem in residuated lattices ⋮ Fuzzy prime ideals of pseudo-MV algebras ⋮ Spectrum Topology of a Residuated Lattice ⋮ Some fuzzy concepts of BCI, BCK and MV-algebras ⋮ Fuzzy filters of BL-algebras ⋮ Fuzzy prime ideals and invertible fuzzy ideals in BCK-algebras ⋮ FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS ⋮ Fuzzy Semi-Maximal and Fuzzy Radical Ideals in MV-Algebras

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Fuzzy groups and level subgroups
• Fuzzy groups
• A counter-example of P. S. Das's paper
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Algebraic Analysis of Many Valued Logics
• Fuzzy sets
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