Linguistic truth-valued lattice-valued propositional logic system \(\ell P(X)\) based on linguistic truth-valued lattice implication algebra

DOI10.1016/j.ins.2010.01.021zbMath1198.03031OpenAlexW2091748361MaRDI QIDQ985060

Yang Xu, Jiajun Lai

Publication date: 20 July 2010

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2010.01.021

zbMATH Keywords

lattice-valued logiclattice implication algebra

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logic of natural languages (03B65) Other algebras related to logic (03G25)

Related Items (8)

A knowledge reduction approach for linguistic concept formal context ⋮ On compatibilities of \(\alpha \)-lock resolution method in linguistic truth-valued lattice-valued logic ⋮ A unified algorithm for finding \(k\)-IESFs in linguistic truth-valued lattice-valued propositional logic ⋮ Piecewise-linear approximation of non-linear models based on probabilistically/possibilistically interpreted intervals' numbers (INs) ⋮ An axiomatizable logical foundation for lattice-ordered qualitative linguistic approach for reasoning with words ⋮ Systemic approach to fuzzy logic formalization for approximate reasoning ⋮ On the algebraic structure of binary lattice-valued fuzzy relations ⋮ A linguistic multi-criteria decision making approach based on logical reasoning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Truth-depressing hedges and BL-logic
• Redefined fuzzy implicative filters
• Filter-based resolution principle for lattice-valued propositional logic LP\((X)\)
• Hedge algebras: an algebraic approach to structure of sets of linguistic truth values
• Is there a need for fuzzy logic?
• Quantitative logic
• On WLI-ideal space and the properties of WLI-ideals in lattice implication algebra (LIA)
• Globalization of intuitionistic set theory
• Fuzzy logic and approximate reasoning
• The concept of a linguistic variable and its application to approximate reasoning. III
• Extended hedge algebras and their application to fuzzy logic
• On very true
• Lattice-valued logic. An alternative approach to treat fuzziness and incomparability
• Lattice implication ordered semigroups
• Unified full implication algorithms of fuzzy reasoning
• Fuzzy implicative and Boolean filters of \(R_{0}\) algebras
• Fuzzy logic from the viewpoint of machine intelligence
• Toward a generalized theory of uncertainty (GTU) -- an outline
• A HEDGE FOR GÖDEL FUZZY LOGIC
• Linguistic decision-making models
• On the consistency of rule bases based on lattice-valued first-order logic LF(X)

This page was built for publication: Linguistic truth-valued lattice-valued propositional logic system \(\ell P(X)\) based on linguistic truth-valued lattice implication algebra