Similarity relations - the calculation of minimal generating families

DOI10.1016/0165-0114(90)90190-HzbMath0734.04009OpenAlexW1978118633MaRDI QIDQ810509

Joan Jacas

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0165-0114(90)90190-h

zbMATH Keywords

cluster analysisfuzzy relationssimilarity dimensionT-indistinguishability operatorssimilarity relations

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items

Fuzzy equivalence relations and their equivalence classes ⋮ Fuzzy \(T\)-transitive relations: Eigenvectors and generators ⋮ Finite-valued indistinguishability operators ⋮ On the unidimensional fuzzy equivalence relations ⋮ Equivalence operators that are associative ⋮ Transitive closure and betweenness relations ⋮ \(I\)-fuzzy equivalence relations and \(I\)-fuzzy partitions ⋮ Classes of fuzzy sets with the same material conditional ⋮ THE LENGTH AND BETWEENNESS RELATIONS OF INDISTINGUISHABILITY OPERATORS ⋮ Computing a T-transitive lower approximation or opening of a proximity relation ⋮ A Similarity-Based Three-Valued Modal Logic Approach to Reason with Prototypes and Counterexamples

Cites Work

• Representations of \(T\)-similarity relations
• On some logical connectives for fuzzy sets theory
• On the structure of F-indistinguishability operators
• Fuzzy partitions and relations; an axiomatic basis for clustering
• Similarity relations and fuzzy orderings
• New results in fuzzy clustering based on the concept of indistinguishability relation
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