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One-dimensional T-preorders

Author
Boixader, D.; Recasens, J.
Type of activity
Presentation of work at congresses
Name of edition
17th International Conference of the Catalan Association for Artificial Intelligence
Date of publication
2014
Presentation's date
2014
Book of congress proceedings
Artificial Intelligence Research and Development. Recent Advances and Applications
First page
183
Last page
192
Publisher
IOS Press
DOI
10.3233/978-1-61499-452-7-183
Repository
http://hdl.handle.net/2117/26113 Open in new window
Abstract
This paper studies T-preorders by using their Representation Theorem that states that every T-preorder on a set X can be generated in a natural way by a family of fuzzy subsets of X. Especial emphasis is made on the study of one-dimensional T-preorders (i.e.: T-preorders that can be generated by only one fuzzy subset). Strong complete T-preorders are characterized.
Citation
Boixader, D.; Recasens, J. One-dimensional T-preorders. A: International Conference of the Catalan Association for Artificial Intelligence. "Artificial Intelligence Research and Development. Recent Advances and Applications". Barcelona: IOS Press, 2014, p. 183-192.
Keywords
Dimension, Generator, Representation theorem, Strong complete T-preorder, T-preorder
Group of research
FM&AI - Functional Mathematical Modelling and Applications

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