The general nilpotent operator system

DOI10.1016/j.fss.2014.05.011zbMath1361.03016OpenAlexW2040523117MaRDI QIDQ529007

Yong-Cai Geng, Sumit K. Garg

Publication date: 18 May 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: http://publicatio.bibl.u-szeged.hu/17653/1/TheGenNilpot_rev2.pdf

zbMATH Keywords

t-normt-conormnilpotent operatorDe Morgan classLukasiewicz operator systemnegation operator

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items

Equivalence operators in nilpotent systems ⋮ Self-dual operators and a general framework for weighted nilpotent operators

Cites Work

• A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
• Fuzzy implications
• On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms
• Metamathematics of fuzzy logic
• A new look at fuzzy connectives
• Triangular norms
• Absorbent tuples of aggregation operators
• Fuzzy sets in a approximate reasoning. I: Inference with possibility distributions
• On the measure of fuzziness and negation. II. Lattices
• Fuzzy sets
• Über eine Klasse von Funktionalgleichungen
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