Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms

DOI10.1016/j.ijar.2010.11.004zbMath1228.03038OpenAlexW2075029917MaRDI QIDQ553981

Claudilene Gomes da Costa, Adrião Duarte Dória Neto, Benjamín René Callejas Bedregal

Publication date: 29 July 2011

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2010.11.004

zbMATH Keywords

automorphismintuitionistic fuzzy setsDe Morgan triplesAtanassov's operators

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (14)

Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ \((\mathtt{f}_{\mathtt{I}}, \omega)\)-implications and distributivity of implications on \(\mathcal{L}\) over t-representable t-norms: the case of strict and nilpotent t-norms ⋮ Pseudo-uninorms and Atanassov’s intuitionistic pseudo-uninorms ⋮ Lattice-valued overlap and quasi-overlap functions ⋮ Interval-valued Atanassov intuitionistic t-norms and t-conorms endowed with the usual or admissible orders ⋮ Extension of fuzzy logic operators defined on bounded lattices via retractions ⋮ A class of fuzzy multisets with a fixed number of memberships ⋮ On the characterizations of fuzzy implications satisfying \(I(x,I(y,z))=I(I(x,y),I(x,z))\) ⋮ \(K\)-operators: an approach to the generation of interval-valued fuzzy implications from fuzzy implications and vice versa ⋮ (S,N)-Implications on Bounded Lattices ⋮ A NEW WAY TO EXTEND FUZZY IMPLICATIONS ⋮ Ordinal sums of the main classes of fuzzy negations and the natural negations of t-norms, t-conorms and fuzzy implications ⋮ A new way to extend t-norms, t-conorms and negations ⋮ On the extension of lattice-valued implications via retractions

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