Preprint Article Version 1 This version is not peer-reviewed

Approximation Operator Based on Neighborhood Systems

Version 1 : Received: 12 October 2018 / Approved: 15 October 2018 / Online: 15 October 2018 (10:44:08 CEST)

How to cite: Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Preprints 2018, 2018100301 (doi: 10.20944/preprints201810.0301.v1). Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Preprints 2018, 2018100301 (doi: 10.20944/preprints201810.0301.v1).

Abstract

In this paper, we propose a new covering-based set in which the lower and the upper approximation operations are defined by neighborhood systems. We discuss this new type of covering-based set systematically in two steps. First, we study the basic properties of this covering-based set, such as the properties of normality, contraction, and monotone. Second, we discuss the relationship between the new type of covering-based set and the other ten sets proposed.

Subject Areas

rough sets, Covering approximation space, Neighborhood system, approximation operation, Partition