Fuzzy \(\delta\)-\(\varepsilon\)-partitions.

DOI10.1016/S0020-0255(03)00055-0zbMath1040.03523OpenAlexW2007079838MaRDI QIDQ1425269

D. Massart

Publication date: 15 March 2004

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0255(03)00055-0

zbMATH Keywords

Fuzzy partitions\(\varepsilon\)-equal fuzzy subsetsOperators

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (12)

Compatibility of t-norms with the concept of \(\varepsilon\)-partition ⋮ Protecting data: a fuzzy approach ⋮ One-to-one correspondences between \(\varepsilon\)-partitions, \((1-\varepsilon)\)-equivalences and \(\varepsilon\)-pseudometrics ⋮ Fuzzy \(\varepsilon\)-subgroups. ⋮ Three-way fuzzy partitions defined by shadowed sets ⋮ Classification based on L-fuzzy sets1 ⋮ Uncertainty measure on fuzzy partitions. ⋮ SISO fuzzy relational inference systems based on fuzzy implications are universal approximators ⋮ Necessary and sufficient conditions for generalized uniform fuzzy partitions ⋮ Liberalism and dictatorship in the problem of fuzzy classification ⋮ \(I\)-fuzzy equivalence relations and \(I\)-fuzzy partitions ⋮ On local entropy of fuzzy partitions

Cites Work

• On fuzzy equivalence. I
• Additive fuzzy measures and integrals. I
• Probability of fuzzy events defined as denumerable additivity measure
• Fuzzy partitions and relations; an axiomatic basis for clustering
• Fuzzy partitions with the connectives \(T_ \infty{},S_ \infty\)
• The entropy of fuzzy dynamical systems and generators
• \({\mathcal T}\)-partitions
• q-similitudes and q-fuzzy partitions
• One-to-one correspondences between \(\varepsilon\)-partitions, \((1-\varepsilon)\)-equivalences and \(\varepsilon\)-pseudometrics
• Triangular norms
• Similarity relations, fuzzy partitions, and fuzzy orderings
• Sull'informazione associata alle esperienze incomplete
• A new approach to clustering
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