This paper explores the properties of subsethood measures, including boundary conditions,
monotonicity, duality, and additivity. These properties can be used as candidates of axioms …

In this paper we study a method of construction of the fuzzy subsethood measures of VR
Young [VR Young, Fuzzy subsethood, Fuzzy Sets and Systems 77 (1996) 371–384] and the …

We comment on the subsethood measure and weak subsethood measure defined by Young
and give some new definitions of subsethood measure. We present some subsethood …

The connection between logical implication and the subsethood relationship is apparent
when bivalent logic and crisp set theory are examined. When fuzzy logic and fuzzy set …

In this work we present the definition of strong fuzzy subsethood measure as a unifiying
concept for the different notions of fuzzy subsethood that can be found in the literature. We …

The idea of inclusion for fuzzy sets was firstly introduced by L. Zadeh in 1965 and since then
many other studies proposed alternatives to indicate a degree to which a fuzzy set is …

Starting from the definitions of the weak fuzzy subsethood measure (VR Young, Fuzzy
subsethood. Fuzzy Sets and Systems, 77 (1996) 371–384) and of strong fuzzy inclusion,(D …

In this study, we discuss a new class of fuzzy subsethood measures between fuzzy sets. We
propose a new definition of fuzzy subsethood measure as an intersection of other …

Multi descriptions property is a fundamental property on membership functions of fuzzy sets,
which has not been attended so far. The property suggests that not all membership functions …

In this paper, we studied the classes of quasi-homogeneous overlap functions. In which we
demonstrate that all the class of quasi-homogeneous overlap functions properly contains the …