In this paper a new relation for the set of interval-valued fuzzy relations is introduced.This relation is an interval orderfor the family of intervals and for the family of interval-valued fuzzy relations in a given set it has the reflexivity property.Consequences of considering such relation are studied in the context of operations on interval-valued fuzzy relations.A new transitivity property, namely possible $T$-transitivity is studied (pos-$T$-transitivity for short). This transitivity property is connected withthe new relation proposed here. Preservation of this type of transitivity by some operations is also discussed.
@article{436,
title = {On comparability relations in the class of interval-valued fuzzy relations},
journal = {Tatra Mountains Mathematical Publications},
volume = {65},
year = {2016},
doi = {10.2478/tatra.v66i0.436},
language = {EN},
url = {http://dml.mathdoc.fr/item/436}
}
Pękala, Barbara; Bentkowska, Urszula; De Baets, Bernard. On comparability relations in the class of interval-valued fuzzy relations. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v66i0.436. http://gdmltest.u-ga.fr/item/436/