On the compactness of admissible transformations of fuzzy partitions in terms of \(T\)-equivalence relations

DOI10.1016/j.fss.2008.04.014zbMath1183.03052OpenAlexW2041645233MaRDI QIDQ834526

Bernhard A. Moser

Publication date: 27 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.04.014

zbMATH Keywords

ill-posednessfuzzy partitionsequential compactnessfine tuning\(T\)-equivalence

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (5)

Symmetric difference operators based on thresholds ⋮ Equivalence operators that are associative ⋮ Some sets of indistinguishability operators as multiresolution families ⋮ Differently implicational universal triple I method of \((1, 2, 2)\) type ⋮ Necessary and sufficient conditions for generalized uniform fuzzy partitions

Uses Software

• Mathematica

Cites Work

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• A review of fuzzy set aggregation connectives
• On the redundancy of fuzzy partitions
• \({\mathcal T}\)-partitions
• Improved fuzzy partitions for fuzzy regression models
• Triangular norms
• Metrics and \(\mathcal T\)-equalities
• A note on approximate equality versus the Poincaré paradox
• Similarity relations, fuzzy partitions, and fuzzy orderings
• Regularized data-driven construction of fuzzy controllers
• On Many-Valued Partitions and Many-Valued Equivalence Relations

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