EXTENSIONALITY AND CONTINUITY OF FUZZY RELATIONS

Martina Daňková

   In this paper, we investigate the connection between the extensionality of fuzzy relations and its continuity. Some of the conclusions follow from the investigation of similarity relations and pseudo-metrics, precisely, from the investigation of their interrelations. We will see that in a very special case of fuzzy relations we do not need the continuity for obtaining extensionality.

Keywords: fuzzy relations, extensionality, continuity

[full-paper]