INTUITIONISTIC FUZZY IMPLICATION OPERATORS — AN EXPRESSION AND MAIN PROPERTIES

DOI10.1142/S0218488504002898zbMath1054.03022OpenAlexW2107217767MaRDI QIDQ4819229

Edurne Barrenechea, Humberto Bustince, V. Mohedano

Publication date: 24 September 2004

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218488504002898

zbMATH Keywords

fuzzy implicationsintuitionistic fuzzy setsaggregation operations

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logic in artificial intelligence (68T27) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (15)

Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ Intuitionistic fuzzy implication operators: expressions and properties ⋮ Robustness of \(f\)- and \(g\)-generated fuzzy (co)implications: the Yager's (co)implication case study ⋮ Introduction to temporal intuitionistic fuzzy approximate reasoning ⋮ \((\mathtt{f}_{\mathtt{I}}, \omega)\)-implications and distributivity of implications on \(\mathcal{L}\) over t-representable t-norms: the case of strict and nilpotent t-norms ⋮ Interval-valued implications and interval-valued strong equality index with admissible orders ⋮ Coimplications derived from pseudo-uninorms on a complete lattice ⋮ Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions ⋮ About the Use of Admissible Order for Defining Implication Operators ⋮ Fixed points of involutive interval-valued negations ⋮ Constructive methods for intuitionistic fuzzy implication operators ⋮ (S,N)-Implications on Bounded Lattices ⋮ Construction of interval-valued fuzzy entropy invariant by translations and scalings ⋮ Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy ⋮ About the Use of Admissible Order for Defining Implication Operators

Cites Work

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• Structures on intuitionistic fuzzy relations
• Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
• Intuitionistic fuzzy sets
• Construction theorems for intuitionistic fuzzy sets
• A more efficient method for defining fuzzy connectives
• Elements of intuitionistic fuzzy logic. I
• Fuzzy implication operators and generalized fuzzy method of cases
• Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
• Fuzzy sets in a approximate reasoning. I: Inference with possibility distributions

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