Article
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Preserved in Portico This version is not peer-reviewed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)
A peer-reviewed article of this Preprint also exists.
Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Symmetry 2018, 10, 539. https://doi.org/10.3390/sym10110539 Wang, P.; Wu, Q.; He, J.; Shang, X. Approximation Operator Based on Neighborhood Systems. Symmetry 2018, 10, 539. https://doi.org/10.3390/sym10110539
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
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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