One-to-one correspondences between ε-partitions, (1 - ε)-equivalences and ε-pseudometrics

Fuzzy Sets and Systems

Volumn 124, Issue 1, 2001, Pages 87-95

  Montes, Susana ^a   Couso, Ines ^a   Gil, Pedro ^a  

^a UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Equality between fuzzy subsets; Fuzzy partitions; Fuzzy relations; Pseudometrics

Indexed keywords

EQUIVALENCE CLASSES; FUZZY CONTROL; MATHEMATICAL MODELS;

FUZZY PARTITIONS; PSEUDOMETRICS;

FUZZY SETS;

EID: 0035900262     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(00)00127-5     Document Type: Article

References (22)

1. Fuzzy partitions and relations - An axiomatic basis for clustering
2. q-similitudes and q-fuzzy partitions
3. Additive fuzzy measures and integrals
4. On fuzzy equivalence I
5. Pseudo-metrics and T-equivalences
6. T-partitions
7. Fuzzy partitions with the connectives T∞, S∞
8. Fuzzy equalities and indistinguishability
9. On fuzzy relations, metrics and cluster analysis
10. From fuzzy sets to indistinguishability and back
11. The entropy of fuzzy partitions
12. δ-ε-partitions
13. ε-partitions and α-equivalences
14. Similarity relations, Fuzzy partitions, and fuzzy orderings
15. Probability of fuzzy events defined as denumerable additivity measure
16. A new approach to clustering
17. Characterization of RUSPINI-partitions by similarity relations
18. Logic and fuzzy relations
19. On some relations between fuzzy similarities and metrics under Archimedean t-norms
20. Fuzzy relations, fuzzy graphs, and their applications to clustering analysis