Abstract

We introduce the properties to be satisfied by measures of referential success of set referring expressions with fuzzy properties. We define families of measures on the basis of n-cardinality measures and we illustrate some of them with a toy example.

Highlights

  • We introduce the properties to be satisfied by measures of referential success of set referring expressions with fuzzy properties

  • From a knowledge representation perspective, the problem is to determine a collection of object properties that can be employed in the noun phrase for the abovementioned purpose

  • The most usual version of the REG problem can be formalized as follows: given a context formed by a collection of objects O and a set of properties P of objects in O, determine a subset re ⊆ P such that

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Summary

Introduction

We introduce the properties to be satisfied by measures of referential success of set referring expressions with fuzzy properties. From a knowledge representation perspective, the problem is to determine (if possible) a collection of object properties that can be employed in the noun phrase for the abovementioned purpose (van Deemter, 2016). The most usual version of the REG problem can be formalized as follows: given a context formed by a collection of objects O and a set of properties P of objects in O, determine a subset re ⊆ P such that

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