In this paper we address a key issue in scenario classification, where classifying concepts
show a natural overlapping. In fact, overlapping needs to be evaluated whenever classes …

Overlap functions and grouping functions are special kinds of aggregation operators that
have been recently proposed for applications in classification problems, like, eg, imaging …

A new nonprobabilistic entropy of a vague set is proposed by means of the intersection and
union of the membership degree and nonmembership degree of the vague set. The concept …

Considering the important role played by overlap and grouping functions in several
applications in which associativity is not demanded, in this paper we introduce the notion of …

Fuzzy implications are useful in a wide range of applications. For these practical purposes,
different classes of implications are used. Depending on the concrete application the …

Five uncertainty measures have previously been defined for interval Type-2 fuzzy sets (IT2
FSs), namely centroid, cardinality, fuzziness, variance and skewness. Based on a recently …

In this paper we present the concept of a restricted equivalence function. This concept arises
on the one hand, from the definition of equivalence given by J. Fodor and M. Roubens, and …

Two measures are presented for comparing fuzzy sets. The method for constructing these
measures is studied, starting from fuzzy DI-subsethood measures (see [H. Bustince, V …

In this paper, we present the definition of restricted dissimilarity function. This definition
arises from the concepts of dissimilarity and equivalence function. We analyze the relation …

In this work we introduce the definition of interval-valued fuzzy implication function with
respect to any total order between intervals. We also present different construction methods …