Compactness on Soft Topological Ordered Spaces and Its Application on the Information System
It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and investigate their application on the information syst...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6699092 |
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| author | T. M. Al-shami |
| author_facet | T. M. Al-shami |
| author_sort | T. M. Al-shami |
| collection | DOAJ |
| description | It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and investigate their application on the information system. First, we initiate a notion of monotonic soft sets and establish its main properties. Second, we introduce the concepts of monotonic soft compact and ordered soft compact spaces and show the relationships between them with the help of examples. We give a complete description for each one of them by making use of the finite intersection property. Also, we study some properties associated with some soft ordered spaces and finite product spaces. Furthermore, we investigate the conditions under which these concepts are preserved between the soft topological ordered space and its parametric topological ordered spaces. In the end, we provide an algorithm for expecting the missing values of objects on the information system depending on the concept of ordered soft compact spaces. |
| format | Article |
| id | doaj-art-262ab746afd142689c9d3b8ede695039 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-262ab746afd142689c9d3b8ede6950392025-02-03T06:47:03ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66990926699092Compactness on Soft Topological Ordered Spaces and Its Application on the Information SystemT. M. Al-shami0Department of Mathematics, Sana’a University, Sana’a, YemenIt is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and investigate their application on the information system. First, we initiate a notion of monotonic soft sets and establish its main properties. Second, we introduce the concepts of monotonic soft compact and ordered soft compact spaces and show the relationships between them with the help of examples. We give a complete description for each one of them by making use of the finite intersection property. Also, we study some properties associated with some soft ordered spaces and finite product spaces. Furthermore, we investigate the conditions under which these concepts are preserved between the soft topological ordered space and its parametric topological ordered spaces. In the end, we provide an algorithm for expecting the missing values of objects on the information system depending on the concept of ordered soft compact spaces.http://dx.doi.org/10.1155/2021/6699092 |
| spellingShingle | T. M. Al-shami Compactness on Soft Topological Ordered Spaces and Its Application on the Information System Journal of Mathematics |
| title | Compactness on Soft Topological Ordered Spaces and Its Application on the Information System |
| title_full | Compactness on Soft Topological Ordered Spaces and Its Application on the Information System |
| title_fullStr | Compactness on Soft Topological Ordered Spaces and Its Application on the Information System |
| title_full_unstemmed | Compactness on Soft Topological Ordered Spaces and Its Application on the Information System |
| title_short | Compactness on Soft Topological Ordered Spaces and Its Application on the Information System |
| title_sort | compactness on soft topological ordered spaces and its application on the information system |
| url | http://dx.doi.org/10.1155/2021/6699092 |
| work_keys_str_mv | AT tmalshami compactnessonsofttopologicalorderedspacesanditsapplicationontheinformationsystem |