A geometrical approach to validation of fuzzy temporal relations between fuzzy time primitives, based on the possibility and necessity measures are proposed. Fuzzy temporal relations between fuzzy time points and fuzzy time point and fuzzy time interval are considered. The same approach can be used for evaluation of relation between two fuzzy intervals. An example of validation of temporal rela...

In this paper, we survey the relationship between the similarity measure and dissimilarity measure for fuzzy sets. First, we design a similarity measure using a distance measure for fuzzy sets and prove its usefulness. From this result, we assert that the similarity between two complementary fuzzy sets satisfies the fuzzy entropy definition. We also show that the summation of the similarity and...

The concept of closure operator is key in several branches mathematics. In this paper, operators are extended to relational structures, more specifically fuzzy relations the framework complete lattices. core work search for a suitable definition (strong) relation, that is, relation whose with systems one-to-one. study properties and helps narrow down exploration until an appropriate settled.

in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.