2023, Vol. 4, Issue 1, Part B
Decomposition of (µ, λ) -continuity in HGTS
Author(s): HB Sudhir and Dr. S Subramanian
Abstract: Decomposition in topological space HGTs (Hierarchy of Grids and Tiles) is a fundamental process in spatial data analysis that involves breaking down a larger spatial unit into smaller subunits. HGTs are a hierarchical representation of spatial data that provide a scalable approach to organizing and analyzing data at different levels of detail. In topological space HGTs, decomposition involves partitioning the data into smaller regions or tiles based on their topological properties. Topological space HGTs enable the efficient storage, retrieval, and processing of large spatial datasets by reducing the complexity of the data structure and facilitating faster and more targeted analysis. The decomposition process involves several techniques, including clustering, spatial subdivision, and partitioning. These techniques enable the efficient handling of large spatial datasets and provide a scalable approach to managing and analyzing data at different levels of detail. The decomposition process in topological space HGTs has significant benefits for data management and analysis. It allows for more efficient and targeted processing of data, enabling users to quickly identify patterns and relationships within the data. Furthermore, it facilitates more accurate spatial analysis by reducing the complexity of the data structure and allowing for more straightforward modeling and simulation of spatial phenomena. In addition to its benefits for data management and analysis, decomposition in topological space HGTs also has significant implications for visualization and communication of spatial information. By breaking down complex spatial units into smaller and more intuitive subunits, it becomes easier to convey patterns and relationships in the data to stakeholders and decision-makers. Overall, decomposition in topological space HGTs is a crucial process for effectively managing and analyzing spatial data in a wide range of applications, including environmental monitoring, urban planning, and disaster management. Its benefits for data management, analysis, and visualization make it a vital tool for spatial data analysts and researchers. In this paper we introduce and study the notions of R∗ - H -sets, R∗ - H -sets and R∗- H -sets in hereditary generalized topological spaces. Also we obtain decomposition of (µ, λ) -continuity.
Pages: 101-103 | Views: 133 | Downloads: 55
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How to cite this article:
HB Sudhir and Dr. S Subramanian. Decomposition of (µ, λ) -continuity in HGTS. Journal of Mathematical Problems, Equations and Statistics. 2023; 4(1): 101-103.