Generalized Fuzzy Regular Filters on Residuated Lattices

DOI10.1007/978-3-319-25754-9_32zbMath1444.03175OpenAlexW2293618633MaRDI QIDQ3300369

Lianming Mou, Yi Liu

Publication date: 28 July 2020

Published in: Rough Sets and Knowledge Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25754-9_32

zbMATH Keywords

residuated latticesregular filterfilter theoryequivalent characterizationpositive implications

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Other algebras related to logic (03G25)

Cites Work

• Generalizations of \((\in,\in\vee q)\)-fuzzy filters in \(R_0\)-algebras.
• On filter theory of residuated lattices
• \((\in \vee q)\)-level subset
• \((\in,\in\vee\;q)\)-fuzzy subgroup
• Filter theory of BL algebras
• Cartesian closed stable categories
• On $(\bar\in,\bar\in\vee \bar q)$ -Fuzzy Filters of Residuated Lattices
• On (∈, ∈ ∨ q)-fuzzy filters ofR₀-algebras
• Interval-valued $\mathcal{T}$-fuzzy filters and interval-valued $\mathcal{T}$-fuzzy congruences on residuated lattices
• Fuzzy sets

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