Fuzzy equivalence relations and their equivalence classes

DOI10.1016/j.fss.2007.01.010zbMath1123.03049OpenAlexW2021212827MaRDI QIDQ2372263

Stojan Bogdanović, Miroslav Ćirić, Jelena Ignjatović

Publication date: 26 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.fss.2007.01.010

zbMATH Keywords

fuzzy partitionfuzzy equivalence relationcomplete residuated latticefuzzy equivalence classfuzzy semi-partitionlinearly ordered Heyting algebra

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

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Cites Work

• Unnamed Item
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• Similarity relations - the calculation of minimal generating families
• Additive fuzzy measures and integrals. I
• On the structure of F-indistinguishability operators
• Fuzzy equivalence relations
• \(\mathcal T\)-partitions of the real line generated by idempotent shapes
• The construction of possibility measures from samples on \(\mathfrak T\)-semi-partitions
• \({\mathcal T}\)-partitions
• Dimension of valued relations
• A relationship between equality relations and the \(T\)-redundancy of fuzzy partitions and its application to Sugeno controllers
• Maps and isometries between indistinguishability operators
• Metrics and \(\mathcal T\)-equalities
• Fuzzy groups, fuzzy functions and fuzzy equivalence relations.
• Fuzzy \(T\)-transitive relations: Eigenvectors and generators
• On the fundamentals of fuzzy set theory
• Similarity relations, fuzzy partitions, and fuzzy orderings
• Similarity relations and fuzzy orderings
• THE STRUCTURE OF RESIDUATED LATTICES
• Indistinguishability operators in measurement theory, Part I: Conversions of indistinguishability operators with respect to scales
• Indistinguishability operators in measurement theory, Part II: Construction of indistinguishability operators based on probability distributions
• THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES
• A new approach to clustering
• Representations of the Extensions of Many-Valued Equivalence Relations
• On Many-Valued Partitions and Many-Valued Equivalence Relations
• Transitive closure and betweenness relations