We introduce HyperLex—a data set and evaluation resource that quantifies the extent of the
semantic category membership, that is, type-of relation, also known as hyponymy …

We consider two kinds of similarity-based reasoning and formalise them in a logical setting.
In one case, we are led by the principle that conclusions can be drawn even if they are only …

Abstract The Logic of Approximate Entailment (LAE) is a graded counterpart of classical
propositional calculus, where conclusions that are only approximately correct can be drawn …

In medicine one frequently deals with vague information. As a tool for reasoning in this area,
fuzzy logic suggests itself. In this paper we explore the applicability of the basic ideas of …

The logic LAE q discussed in this paper is based on an approximate entailment relation.
LAE q generalises classical propositional logic to the effect that conclusions can be drawn …

One of the goals of a variety of approximate reasoning models is to cope with inference
patterns more flexible than those of classical reasoning. For instance, we can use terms like …

In this paper we first consider the problem of extending a fuzzy preference relation on a set,
represented by a fuzzy preorder, to a fuzzy preference relation on subsets, and we …

The vagueness of a property becomes apparent when more than one level of granularity is
addressed in a discourse. For instance, the adjective “tall” can be used to distinguish just …

In his 1991 seminal paper, Enrique H. Ruspini proposed a similarity-based semantics for
fuzzy sets and approximate reasoning which has been extensively used by many other …

This chapter is a survey of a fairly established area of research called Theory of Graded
Consequence (GCT), first introduced in 1987. In addition to the presentation of old works …