In order to express the degree to which a subset of a finite universe is contained into another
subset, the concept of inclusion measure (or subsethood measure) of ordinary sets is …

ASC 42 - Properties of Local Andness/Orness Page 1 O. Castillo et al. (Eds.): Theor. Adv.
and Appl. of Fuzzy Logic, ASC 42, pp. 54–63, 2007. springerlink.com © Springer-Verlag …

Subsethood is an important concept in the area of fuzzy sets. It surfaces in fuzzy entropy, in
the relationship of fuzzy set theory and probability, and in tuning rules in fuzzy logic. Only a …

In this paper, two existing subsethood measures are reviewed at first. An example is given to
show that they are not coincident with the l/sup p/-distance in describing the degree of …

The main aim of this paper is to propose new subsethood measures for continuous, general
type-2 fuzzy sets. For this purpose, we introduce inclusions and subsethood measures for …

Subsethood is the degree of containment of one fuzzy set in another, usually expressed as a
value in the unit interval. We extend Kosko's definition of subsethood to Type-n fuzzy sets …

In this paper, we propose a new construction method for fuzzy and weak fuzzy subsethood
measures based on the aggregation of implication operators. We study the desired …

In the first part of the chapter we show the three most important axiomatizations of the
concept of subsethood measure. Then we present the reasons why we focus on the …

Overlap and grouping functions have been used in different fields and for various purposes,
namely for instance in image processing, classification problems and also in decision …

In this paper, we use Zadeh's extension principle to extend Kosko's definition of the fuzzy
subsethood measure S (G, H) to type-2 fuzzy sets defined on any set X equipped with a …