Roughness in Membership Continuous Function
In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership continuous function. Moreover, we extend the defini...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Omar Al-Mukhtar University
2021-09-01
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| Series: | مجلة المختار للعلوم |
| Subjects: | |
| Online Access: | https://omu.edu.ly/journals/index.php/mjsc/article/view/338 |
| _version_ | 1797698206181621760 |
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| author | Faraj.A. Abdunani Ahmed.A. Shletiet |
| author_facet | Faraj.A. Abdunani Ahmed.A. Shletiet |
| author_sort | Faraj.A. Abdunani |
| collection | DOAJ |
| description |
In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership continuous function. Moreover, we extend the definition of rough membership function to topology spaces by substituting an equivalence class by continuous functions and prove some theorems on certain types of set value functions and some more general and fundamental properties of the generalized rough sets. Our result generalized the concept of the set valued function by using rough set theory.
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| first_indexed | 2024-03-12T03:50:54Z |
| format | Article |
| id | doaj.art-c31f82d91d6043bbb6181200b3f508bf |
| institution | Directory Open Access Journal |
| issn | 2617-2178 2617-2186 |
| language | English |
| last_indexed | 2024-03-12T03:50:54Z |
| publishDate | 2021-09-01 |
| publisher | Omar Al-Mukhtar University |
| record_format | Article |
| series | مجلة المختار للعلوم |
| spelling | doaj.art-c31f82d91d6043bbb6181200b3f508bf2023-09-03T12:21:31ZengOmar Al-Mukhtar Universityمجلة المختار للعلوم2617-21782617-21862021-09-0136310.54172/mjsc.v36i3.338Roughness in Membership Continuous FunctionFaraj.A. Abdunani0Ahmed.A. Shletiet 1Department of Mathematics, Faculty of Sciences, Ajdabyia University, Libya.Department of Mathematics, Faculty of Sciences, Ajdabyia University, Libya. In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership continuous function. Moreover, we extend the definition of rough membership function to topology spaces by substituting an equivalence class by continuous functions and prove some theorems on certain types of set value functions and some more general and fundamental properties of the generalized rough sets. Our result generalized the concept of the set valued function by using rough set theory. https://omu.edu.ly/journals/index.php/mjsc/article/view/338Rough setLower approximationUpper approximationSet valued mapping |
| spellingShingle | Faraj.A. Abdunani Ahmed.A. Shletiet Roughness in Membership Continuous Function مجلة المختار للعلوم Rough set Lower approximation Upper approximation Set valued mapping |
| title | Roughness in Membership Continuous Function |
| title_full | Roughness in Membership Continuous Function |
| title_fullStr | Roughness in Membership Continuous Function |
| title_full_unstemmed | Roughness in Membership Continuous Function |
| title_short | Roughness in Membership Continuous Function |
| title_sort | roughness in membership continuous function |
| topic | Rough set Lower approximation Upper approximation Set valued mapping |
| url | https://omu.edu.ly/journals/index.php/mjsc/article/view/338 |
| work_keys_str_mv | AT farajaabdunani roughnessinmembershipcontinuousfunction AT ahmedashletiet roughnessinmembershipcontinuousfunction |