Distributivity of Implication Functions over Decomposable Uninorms Generated from Representable Uninorms in Interval-Valued Fuzzy Sets Theory

DOI10.1007/978-3-319-40596-4_35zbMath1452.03107OpenAlexW2504008841MaRDI QIDQ5115751

Michał Baczyński, Wanda Niemyska

Publication date: 18 August 2020

Published in: Information Processing and Management of Uncertainty in Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40596-4_35

zbMATH Keywords

functional equationsuninormsinterval-valued fuzzy setsaggregation operatorsdistributivity equations

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• Unnamed Item
• Unnamed Item
• Distributivity of implication operations over t-representable t-norms in interval-valued fuzzy set theory: the case of nilpotent t-norms
• On two distributivity equations for fuzzy implications and continuous, Archimedean t-norms and t-conorms
• Uninorms in \(L^*\)-fuzzy set theory
• Distributivity of residual implications over conjunctive and disjunctive uninorms
• Fuzzy implications
• On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms
• On the distributivity of fuzzy implications over representable uninorms
• The concept of a linguistic variable and its application to approximate reasoning. I
• Uninorm aggregation operators
• Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
• Rule reduction for efficient inferencing in similarity based reasoning
• A survey on the existing classes of uninorms
• Distributivity of Implication Operations over t-Representable T-Norms Generated from Nilpotent T-Norms
• Structure of Uninorms
• A Note on the Distributivity of Fuzzy Implications over Representable Uninorms
• Distributivity of Implication Operations over T-Representable T-Norms Generated from Continuous and Archimedean T-Norms
• On the Distributivity of Implication Operations over t-Representable t-Norms Generated from Strict t-Norms in Interval-Valued Fuzzy Sets Theory
• The Equation $\mathcal{I}(\mathcal{S}(x,y),z) = \mathcal{T}(\mathcal{I}(x,z),\mathcal{I}(y,z))$ for t-representable t-conorms and t-norms Generated from Continuous, Archimedean Operations
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• Semantics of implication operators and fuzzy relational products
• Fuzzy Membership Mapped onto Intervals and Many‐Valued Quantities
• On the distributive equation for t-representable t-norms generated from nilpotent and strict t-norms
• Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
• Uninorm Basics

This page was built for publication: Distributivity of Implication Functions over Decomposable Uninorms Generated from Representable Uninorms in Interval-Valued Fuzzy Sets Theory