An improved axiomatic definition of information granulation

TL;DR

This paper proposes an improved axiomatic framework for information granulation, establishing a universal construction that relates to existing definitions and encompasses known instances.

Contribution

It introduces a refined axiomatic approach to information granulation, connecting it with multivariable functions and unifying previous definitions.

Findings

Provides a universal construction for information granulation.

Shows existing granulations as specific instances of the new framework.

Enhances understanding of the axiomatic basis of information granulation.

Abstract

To capture the uncertainty of information or knowledge in information systems, various information granulations, also known as knowledge granulations, have been proposed. Recently, several axiomatic definitions of information granulation have been introduced. In this paper, we try to improve these axiomatic definitions and give a universal construction of information granulation by relating information granulations with a class of functions of multiple variables. We show that the improved axiomatic definition has some concrete information granulations in the literature as instances.