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Transitive closure and betweenness relations

Author
Boixader, D.; Jacas, J.; Recasens, J.
Type of activity
Journal article
Journal
Fuzzy sets and systems
Date of publication
2001-06
Volume
120
Number
3
First page
415
Last page
422
DOI
https://doi.org/10.1016/S0165-0114(99)00133-5 Open in new window
Repository
http://hdl.handle.net/2117/19171 Open in new window
URL
http://www.journals.elsevier.com/fuzzy-sets-and-systems Open in new window
Abstract
Indistinguishability operators fuzzify the concept of equivalence relation and have been proved a useful tool in theoretical studies as well as in di0erent applications such as fuzzy control or approximate reasoning. One interesting problem is their construction. There are di0erent ways depending on how the data are given and on their future use. In this paper, the length of an indistinguishability operator is de2ned and it is used to relate its generation via max-T product and via the represent...
Citation
Boixader, D.; Jacas, J.; Recasens, J. Transitive closure and betweenness relations. "Fuzzy sets and systems", Juny 2001, vol. 120, núm. 3, p. 415-422.
Keywords
Archimedean t-norm, Betweenness relation, Dimension, Indistinguishability, Transitive closure
Group of research
FM&AI - Functional Mathematical Modelling and Applications

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