Negation and affirmation: the role of involutive negators

DOI10.1007/S00500-006-0127-XzbMath1119.03056OpenAlexW2014556365WikidataQ60258021 ScholiaQ60258021MaRDI QIDQ877776

Bernard De Baets, Koen C. Maes

Publication date: 3 May 2007

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-006-0127-x

zbMATH Keywords

Coxeter groupAutomorphismAffirmationInvolutive negatorNegationStrict negator

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (19)

Curved splicing of copulas ⋮ \((S,N)\)- and \(R\)-implications: A state-of-the-art survey ⋮ Remarks on two representations of strong negations and a connection between nilpotent and strict triangular norms ⋮ On the duality of aggregation operators and \(k\)-negations ⋮ Fixed points of involutive interval-valued negations ⋮ Continuity of left-continuous triangular norms with special associated negations ⋮ A construction method of semicopulas from fuzzy negations ⋮ Zero-sets of copulas ⋮ Implications in bounded systems ⋮ A review of the relationships between implication, negation and aggregation functions from the point of view of material implication ⋮ Commutativity and self-duality: Two tales of one equation ⋮ Conic aggregation functions ⋮ Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology ⋮ A survey of weak connectives and the preservation of their properties by aggregations ⋮ A generalization of the migrativity property of aggregation functions ⋮ The role of generalized convexity in conic copula constructions ⋮ DIVISIBLE, RECIPROCAL AUTOMORPHISMS OF THE UNIT INTERVAL ⋮ Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations ⋮ The non-contradiction principle related to natural negations of fuzzy implication functions

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