Searching for the roots of non-contradiction and excluded-middle

DOI10.1080/0308107021000042462zbMath1019.03049OpenAlexW2091698138MaRDI QIDQ4795870

Claudi Alsina, Ana Pradera, Enric Trillas

Publication date: 19 March 2003

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308107021000042462

zbMATH Keywords

algebraic logicexcluded middlenon-contradiction

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Other algebras related to logic (03G25)

Related Items (12)

Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets ⋮ ON COMPLEMENTARY LOGICAL CONNECTIVES AND RELATIVE COMPLEMENTS ⋮ Uninorms and Non-contradiction ⋮ AN OVERVIEW ON THE CONSTRUCTION OF FUZZY SET THEORIES ⋮ CHARACTERIZING THE 'PRINCIPLES' OF NON CONTRADICTION AND EXCLUDED MIDDLE IN [0,1] ⋮ Some algebraic clues towards a syntactic view on the Principles of Non-Contradiction and Excluded-Middle ⋮ Crisp sets as classes of discontinuous fuzzy sets ⋮ Fuzzy representations need a careful design ⋮ Measuring contradiction in fuzzy logic ⋮ Non Contradiction, Excluded Middle, and Fuzzy Sets ⋮ Unnamed Item ⋮ The non-contradiction principle related to natural negations of fuzzy implication functions

Cites Work

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• Probability of fuzzy events defined as denumerable additivity measure
• A remark on the definition of fuzzy P-measures and the Bayes formula
• Triangular norms
• L-fuzzy sets
• Elkan's theoretical argument, reconsidered

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