Preprint
Article
Approximation Operator Based on Neighborhood Systems
This version is not peer-reviewed.
Submitted:
27 September 2018
Posted:
28 September 2018
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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.
Keywords:
rough sets
; covering approximation space
; neighborhood system
; approximation operation
; partition
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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