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Transitivity of fuzzy relations under discretization

Autor
Boixader, D.; Recasens, J.
Tipus d'activitat
Article en revista
Revista
Information sciences
Data de publicació
2013-07-10
Volum
237
Pàgina inicial
261
Pàgina final
270
DOI
https://doi.org/10.1016/j.ins.2013.03.017 Obrir en finestra nova
Projecte finançador
Relaciones de Similitud Finito-valoradas. Aplicación a Computing with Words (CWW)
Repositori
http://hdl.handle.net/2117/19659 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0020025513002065 Obrir en finestra nova
Resum
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...
Citació
Boixader, D.; Recasens, J. Transitivity of fuzzy relations under discretization. "Information sciences", 10 Juliol 2013, vol. 237, p. 261-270.
Paraules clau
Fuzzy equivalence, Fuzzy preorder, Fuzzy relation, Indistinguishability operator, L-relation, T-transitivity
Grup de recerca
FIA - Modelització Matemàtica Funcional i Aplicacions

Participants