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Transitivity of fuzzy relations under discretization

Author
Boixader, D.; Recasens, J.
Type of activity
Journal article
Journal
Information sciences
Date of publication
2013-07-10
Volume
237
First page
261
Last page
270
DOI
https://doi.org/10.1016/j.ins.2013.03.017 Open in new window
Project funding
Relaciones de Similitud Finito-valoradas. Aplicación a Computing with Words (CWW)
Repository
http://hdl.handle.net/2117/19659 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0020025513002065 Open in new window
Abstract
Fuzzy transitivity is a key property for many fuzzy relational structures, such as fuzzy preorders and equivalences. Theoretical models for practical problems which are based on fuzzy relations make use of continuous scales, mostly the unit interval [0, 1]. Practical implementation of these models though, involves their discretization into finite scales, which generally results in some loss of transitivity. In this paper we study if there are any transitivity preserving discretization strategies...
Citation
Boixader, D.; Recasens, J. Transitivity of fuzzy relations under discretization. "Information sciences", 10 Juliol 2013, vol. 237, p. 261-270.
Keywords
Fuzzy equivalence, Fuzzy preorder, Fuzzy relation, Indistinguishability operator, L-relation, T-transitivity
Group of research
FM&AI - Functional Mathematical Modelling and Applications

Participants