Extension of fuzzy logic operators defined on bounded lattices via retractions
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Publication:453825
DOI10.1016/j.camwa.2011.12.007zbMath1247.03037OpenAlexW2070564912MaRDI QIDQ453825
Benjamín René Callejas Bedregal, Eduardo S. Palmeira
Publication date: 30 September 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.007
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Cites Work
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- Interval additive generators of interval t-norms and interval t-conorms
- On the approximation of compact fuzzy sets
- Two classes of pseudo-triangular norms and fuzzy implications
- Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms
- Fuzzy Markovian decision processes: application to queueing systems
- On the computing power of fuzzy Turing machines
- On copulas, quasicopulas and fuzzy logic
- A generalization of additive generator of triangular norms
- Lipschitzian De Morgan triplets of fuzzy connectives
- Isomorphisms between De Morgan triplets
- On mixed De Morgan triplets
- Triangular norms
- On extensions of triangular norms on bounded lattices
- Fuzzy group theory.
- Fuzzy statistics: regression and prediction
- Bounded Lattice T-Norms as an Interval Category
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