Preprint Article Version 1 This version is not peer-reviewed

Approximation Operator Based on Neighborhood Systems

Version 1 : Received: 27 September 2018 / Approved: 28 September 2018 / Online: 28 September 2018 (10:30:37 CEST)

How to cite: Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Preprints 2018, 2018090562 (doi: 10.20944/preprints201809.0562.v1). Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Preprints 2018, 2018090562 (doi: 10.20944/preprints201809.0562.v1).

Abstract

In this paper, we propose a new covering-based set in which the lower and the upper approximation operation 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

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