’Only comparable’ T -transitive property and its closures for IVFRs
Ramón González-del-Campo, Luis Garmendia · Advances in intelligent systems research/Advances in Intelligent Systems Research · 2015
In this paper a weaker kind of transitive property for interval-valued fuzzy relations (IVFRs) is introduced.It is called 'only comparable' T-transitivity because it relaxes the need that all intervals must be comparable, by just the need of having T-transitive cycles only for comparable intervals.This paper also defines a weak concept of closure, and it is proved that it exists just one Ttransitive and weak T -transitive closure, it does not exists an 'only comparable' T -transitive weak closure, but there exist many 'only comparable' Ttransitive weak closures of an IVFR.