A more efficient method for defining fuzzy connectives
From MaRDI portal
Publication:1282888
DOI10.1016/S0165-0114(96)00135-2zbMath0922.03074OpenAlexW2006787659MaRDI QIDQ1282888
Publication date: 19 August 1999
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0165-0114(96)00135-2
continuitydistributivityimplicationt-normnegationt-conormfuzzy connectivesDe Morgan tripleexcluded middlecontrapositive symmetrylaw of contradiction
Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Continuity and differentiation questions (26B05)
Related Items
Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application ⋮ A representation of t-norms in interval-valued \(L\)-fuzzy set theory ⋮ Arithmetic operators in interval-valued fuzzy set theory ⋮ REPRESENTABILITY IN INTERVAL-VALUED FUZZY SET THEORY ⋮ A constructive method for the definition of interval-valued fuzzy implication operators ⋮ INTUITIONISTIC FUZZY IMPLICATION OPERATORS — AN EXPRESSION AND MAIN PROPERTIES ⋮ Quintuple implication principle on interval-valued intuitionistic fuzzy sets ⋮ Robustness of interval-valued fuzzy inference triple I algorithms based on normalized Minkowski distance ⋮ \((\mathtt{f}_{\mathtt{I}}, \omega)\)-implications and distributivity of implications on \(\mathcal{L}\) over t-representable t-norms: the case of strict and nilpotent t-norms ⋮ Interval-valued fuzzy reasoning method based on similarity measure ⋮ Interval-valued quintuple implication principle of fuzzy reasoning ⋮ Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions ⋮ Interpolative Boolean networks ⋮ Interval-valued fuzzy reasoning full implication algorithms based on the t-representable t-norm ⋮ Robustness of full implication algorithms based on interval-valued fuzzy inference ⋮ Robustness of reverse triple I algorithms based on interval-valued fuzzy inference ⋮ A lattice-theoretical characterization of the family of cut sets of interval-valued fuzzy sets ⋮ Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets ⋮ A class of fuzzy multisets with a fixed number of memberships ⋮ Robustness of interval-valued universal triple I algorithms1 ⋮ A characterization of interval-valued residuated lattices ⋮ Uninorms in \(L^*\)-fuzzy set theory ⋮ Advances and challenges in interval-valued fuzzy logic ⋮ Contrast of a fuzzy relation ⋮ Construction of interval-valued fuzzy entropy invariant by translations and scalings ⋮ Definition and construction of fuzzy DI-subsethood measures ⋮ Interval-valued fuzzy sets constructed from matrices: application to edge detection ⋮ WEAK FUZZY S-SUBSETHOOD MEASURES: OVERLAP INDEX ⋮ Triangular norms on product lattices ⋮ Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets ⋮ Automorphisms, negations and implication operators
Cites Work
- Unnamed Item
- A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
- On the simultaneous associativity of F(x,y) and x+y-F(x,y)
- On strict preference relations
- On fuzzy strict preference, indifference, and incomparability relations
- The concept of a linguistic variable and its application to approximate reasoning. I
- Contrapositive symmetry of fuzzy implications
