Overlap functions and grouping functions are special kinds of aggregation operators that have been recently proposed for applications in classification problems, like, eg, imaging …
QS Zhang, SY Jiang - Information Sciences, 2008 - Elsevier
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 …
S Massanet, J Torrens - Advances in Fuzzy Implication Functions, 2013 - Springer
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 …
D Zhai, JM Mendel - Information Sciences, 2011 - Elsevier
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 …