Should fuzzy equality and similarity satisfy transitivity? Comments on the paper by M. De Cock and E. Kerre

DOI10.1016/S0165-0114(02)00243-9zbMath1020.03053OpenAlexW2073214630MaRDI QIDQ1858407

Frank Klawonn

Publication date: 13 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(02)00243-9

zbMATH Keywords

transitivityfuzzy similarityfuzzy equality

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (9)

Similarity-based unification: A multi-adjoint approach ⋮ Measures of specificity over continuous spaces under similarity relations ⋮ Fuzzy dissimilarity and distance functions ⋮ Fuzzy dissimilarity and generalization of Valverde's theorem on \(T\)-indistinguishability relations ⋮ Bireducts with tolerance relations ⋮ A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets ⋮ Proximity-based unification theory ⋮ Building a class of fuzzy equivalence relations ⋮ Why fuzzy \(\mathcal T\)-equivalence relations do not resolve the Poincaré paradox, and related issues

Cites Work

• Learning indistinguishability from data
• On (un)suitable fuzzy relations to model approximate equality
• Fuzzy sets and vague environments
• Foundations of fuzzy sets
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Should fuzzy equality and similarity satisfy transitivity? Comments on the paper by M. De Cock and E. Kerre