σ-Algebra and σ-Baire in Fuzzy Soft Setting
We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fu...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/5731682 |
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| author | Shuker Mahmood Khalil Mayadah Ulrazaq Samaher Abdul-Ghani Abu Firas Al-Musawi |
| author_facet | Shuker Mahmood Khalil Mayadah Ulrazaq Samaher Abdul-Ghani Abu Firas Al-Musawi |
| author_sort | Shuker Mahmood Khalil |
| collection | DOAJ |
| description | We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft δ-sets, fuzzy soft λσ-sets, fuzzy soft σ-nowhere dense, fuzzy soft σ-meager, fuzzy soft σ-residual, fuzzy soft σ-Baire, fuzzy soft σ-second category, fuzzy soft σ-residual, fuzzy, fuzzy soft submaximal space, fuzzy soft P-space, fuzzy soft almost resolvable space, fuzzy soft hyperconnected space, fuzzy soft A-embedded, fuzzy soft D-Baire, fuzzy soft almost P-spaces, fuzzy soft Borel, and fuzzy soft σ-algebra are introduced. Furthermore, several examples are shown as well. |
| format | Article |
| id | doaj-art-d6daca19ae214cab95fbf34aa3c7bfe7 |
| institution | DOAJ |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-d6daca19ae214cab95fbf34aa3c7bfe72025-08-20T03:19:49ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/57316825731682σ-Algebra and σ-Baire in Fuzzy Soft SettingShuker Mahmood Khalil0Mayadah Ulrazaq1Samaher Abdul-Ghani2Abu Firas Al-Musawi3Department of Mathematics, College of Science, University of Basrah, Basrah 61004, IraqDepartment of Mathematics, College of Science, University of Basrah, Basrah 61004, IraqDepartment of Mathematics, College of Science, University of Basrah, Basrah 61004, IraqDepartment of Mathematics, College of Science, University of Basrah, Basrah 61004, IraqWe first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft δ-sets, fuzzy soft λσ-sets, fuzzy soft σ-nowhere dense, fuzzy soft σ-meager, fuzzy soft σ-residual, fuzzy soft σ-Baire, fuzzy soft σ-second category, fuzzy soft σ-residual, fuzzy, fuzzy soft submaximal space, fuzzy soft P-space, fuzzy soft almost resolvable space, fuzzy soft hyperconnected space, fuzzy soft A-embedded, fuzzy soft D-Baire, fuzzy soft almost P-spaces, fuzzy soft Borel, and fuzzy soft σ-algebra are introduced. Furthermore, several examples are shown as well.http://dx.doi.org/10.1155/2018/5731682 |
| spellingShingle | Shuker Mahmood Khalil Mayadah Ulrazaq Samaher Abdul-Ghani Abu Firas Al-Musawi σ-Algebra and σ-Baire in Fuzzy Soft Setting Advances in Fuzzy Systems |
| title | σ-Algebra and σ-Baire in Fuzzy Soft Setting |
| title_full | σ-Algebra and σ-Baire in Fuzzy Soft Setting |
| title_fullStr | σ-Algebra and σ-Baire in Fuzzy Soft Setting |
| title_full_unstemmed | σ-Algebra and σ-Baire in Fuzzy Soft Setting |
| title_short | σ-Algebra and σ-Baire in Fuzzy Soft Setting |
| title_sort | σ algebra and σ baire in fuzzy soft setting |
| url | http://dx.doi.org/10.1155/2018/5731682 |
| work_keys_str_mv | AT shukermahmoodkhalil salgebraandsbaireinfuzzysoftsetting AT mayadahulrazaq salgebraandsbaireinfuzzysoftsetting AT samaherabdulghani salgebraandsbaireinfuzzysoftsetting AT abufirasalmusawi salgebraandsbaireinfuzzysoftsetting |