Construction of some algebras of logics by using intuitionistic fuzzy filters on hoops

DOI10.3934/math.2021693OpenAlexW3193786080MaRDI QIDQ2142790

Hee Sik Kim, M. Aaly Kologani, Sun Shin Ahn, Jun, Young Bae, Rajab Ali Borzooei

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021693

zbMATH Keywords

Heyting algebrahooppositive implicativeBrouwerian semilatticefantastic) filterintuitionistic fuzzy (implicativeWajesberg hoop

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Fuzzy lattices (soft algebras) and related topics (06D72)

Uses Software

• Pseudo Hoops

Cites Work

• Metamathematics of fuzzy logic
• The lattice of \(L\)-ideals of a ring is modular.
• A metatheorem for deriving fuzzy theorems from crisp versions
• The lattice of intuitionistic fuzzy filters in residuated lattices
• Basic hoops: an algebraic study of continuous t-norms
• Fuzzy groups
• Some results in hoop algebras
• Fuzzy filters in pseudo hoops
• Fuzzy sets
• Komplementäre Halbgruppen. Axiomatik und Arithmetik
• Komplementäre Halbgruppen Kongruenzen und Quotienten
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