Novel Span Measure, Spanning Sets and Applications

TL;DR

This paper introduces a new span measure based on upper approximations, offering a more convenient way to handle uncertainty in natural language processing tasks, with discussions on properties and applications.

Contribution

It proposes a novel span measure using upper approximations, expanding the tools for uncertainty handling in spanning sets within rough set theory.

Findings

New span measure based on upper approximations

Properties and relations with existing span measures

Potential applications in NLP and uncertainty management

Abstract

Rough Set based Spanning Sets were recently proposed to deal with uncertainties arising in the problem in domain of natural language processing problems. This paper presents a novel span measure using upper approximations. The key contribution of this paper is to propose another uncertainty measure of span and spanning sets. Firstly, this paper proposes a new definition of computing span which use upper approximation instead of boundary regions. This is useful in situations where computing upper approximations are much more convenient that computing boundary region. Secondly, properties of novel span and relation with earlier span measure are discussed. Thirdly, the paper presents application areas where the proposed span measure can be utilized.