ON INTERRELATIONSHIPS BETWEEN FUZZY METRIC STRUCTURES

Considering the increasing interest in fuzzy theory and possible applications, the concept of fuzzy metric space concept has been introduced by several authors from different perspectives. This paper interprets the theory in terms of metrics evaluated on fuzzy numbers and defines a strong Hausdorff topology. We study interrelationships between this theory and other fuzzy theories such as intuitionistic fuzzy metric spaces, Kramosil and Michalek's spaces, Kaleva and Seikkala's spaces, probabilistic metric spaces, probabilistic metric co-spaces, Menger spaces and intuitionistic probabilistic metric spaces, determining their position in the framework of theses different theories.