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
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.
Computer Science and Mathematics, Algebra and Number Theory
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