On Nano Topological Spaces with Ideal Semi-p-open Sets
The purpose of this paper is to introduce a new type of spaces called nano topological spaces and investigate the relation between nano topological space and nano ideal semi preopen set. The objective of this study is to develop a nano topological model. We study this model from three aspects, whic...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-07-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3700 |
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| author | Shima H. Ali R. B. Esmaeel Abdelaziz E. Radwan |
| author_facet | Shima H. Ali R. B. Esmaeel Abdelaziz E. Radwan |
| author_sort | Shima H. Ali |
| collection | DOAJ |
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The purpose of this paper is to introduce a new type of spaces called nano topological spaces and investigate the relation between nano topological space and nano ideal semi preopen set. The objective of this study is to develop a nano topological model. We study this model from three aspects, which are lower, upper approximation and their properties. Basic properties and characterizations related to these sets are given. And define the concept Nano ideal semi preopen set by using nano topological space and some properties of this set. The main aim of rough sets is to increase the accuracy measure and reduce the boundary region of sets by increasing the lower approximations and decreasing the upper approximations.
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| format | Article |
| id | doaj-art-a2690696e9d54896b1bd9c6120a2d45e |
| institution | DOAJ |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-a2690696e9d54896b1bd9c6120a2d45e2025-08-20T02:41:42ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-07-0138310.30526/38.3.3700On Nano Topological Spaces with Ideal Semi-p-open SetsShima H. Ali0https://orcid.org/0009-0000-7838-9560R. B. Esmaeel 1https://orcid.org/0000-0002-4743-6034Abdelaziz E. Radwan2https://orcid.org/0000-0002-2473-4872Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq.Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq.Department of Mathematics, College Faculty of science, University of Ain shams, Cairo, Egypt The purpose of this paper is to introduce a new type of spaces called nano topological spaces and investigate the relation between nano topological space and nano ideal semi preopen set. The objective of this study is to develop a nano topological model. We study this model from three aspects, which are lower, upper approximation and their properties. Basic properties and characterizations related to these sets are given. And define the concept Nano ideal semi preopen set by using nano topological space and some properties of this set. The main aim of rough sets is to increase the accuracy measure and reduce the boundary region of sets by increasing the lower approximations and decreasing the upper approximations. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3700NPONPCNI-SPO setsNI-SPC sets |
| spellingShingle | Shima H. Ali R. B. Esmaeel Abdelaziz E. Radwan On Nano Topological Spaces with Ideal Semi-p-open Sets Ibn Al-Haitham Journal for Pure and Applied Sciences NPO NPC NI-SPO sets NI-SPC sets |
| title | On Nano Topological Spaces with Ideal Semi-p-open Sets |
| title_full | On Nano Topological Spaces with Ideal Semi-p-open Sets |
| title_fullStr | On Nano Topological Spaces with Ideal Semi-p-open Sets |
| title_full_unstemmed | On Nano Topological Spaces with Ideal Semi-p-open Sets |
| title_short | On Nano Topological Spaces with Ideal Semi-p-open Sets |
| title_sort | on nano topological spaces with ideal semi p open sets |
| topic | NPO NPC NI-SPO sets NI-SPC sets |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3700 |
| work_keys_str_mv | AT shimahali onnanotopologicalspaceswithidealsemipopensets AT rbesmaeel onnanotopologicalspaceswithidealsemipopensets AT abdelazizeradwan onnanotopologicalspaceswithidealsemipopensets |