Some improved results on communication between information systems

TL;DR

This paper advances the study of communication between information systems by unifying and extending concepts of consistent functions into neighborhood-consistent functions, offering a more comprehensive framework for analyzing system interactions.

Contribution

It introduces neighborhood-consistent functions, unifying type-1 and type-2 concepts, and improves theoretical properties related to communication between information systems.

Findings

Unified type-1 and type-2 functions into neighborhood-consistent functions

Extended properties of consistent functions and relation mappings

Corrected and enhanced previous assertions in the literature

Abstract

To study the communication between information systems, Wang et al. [C. Wang, C. Wu, D. Chen, Q. Hu, and C. Wu, Communicating between information systems, Information Sciences 178 (2008) 3228-3239] proposed two concepts of type-1 and type-2 consistent functions. Some properties of such functions and induced relation mappings have been investigated there. In this paper, we provide an improvement of the aforementioned work by disclosing the symmetric relationship between type-1 and type-2 consistent functions. We present more properties of consistent functions and induced relation mappings and improve upon several deficient assertions in the original work. In particular, we unify and extend type-1 and type-2 consistent functions into the so-called neighborhood-consistent functions. This provides a convenient means for studying the communication between information systems based on various neighborhoods.