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Formal introduction to fuzzy implications

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Publication:1688751
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DOI10.1515/forma-2017-0023zbMath1379.03006OpenAlexW2778928065MaRDI QIDQ1688751

Adam Grabowski

Publication date: 11 January 2018

Published in: Formalized Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forma-2017-0023


zbMATH Keywords

fuzzy logicfuzzy setfuzzy implication


Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Mechanization of proofs and logical operations (03B35)


Related Items (3)

On fuzzy negations generated by fuzzy implications ⋮ A GALLERY OF CHUA ATTRACTORS: PART IV ⋮ Fundamental properties of fuzzy implications


Uses Software

  • Mizar


Cites Work

  • Four decades of {\textsc{Mizar}}. Foreword
  • Fuzzy implications
  • The formal construction of fuzzy numbers
  • Basic formal properties of triangular norms and conorms
  • Initial Comparison of Formal Approaches to Fuzzy and Rough Sets
  • Rough sets
  • Lattice Theory for Rough Sets – A Case Study with Mizar
  • Fuzzy sets


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