Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces
In this paper, we introduce the concept of mapping on hesitant fuzzy soft multisets and present some results for this type of mappings. The notions of inverse image and identity mapping are defined, and their basic properties are investigated. Hence, kinds of mappings and the composition of two hesi...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2020/8894850 |
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| author | A. Kandil S. A. El-Sheikh M. Hosny M. Raafat |
| author_facet | A. Kandil S. A. El-Sheikh M. Hosny M. Raafat |
| author_sort | A. Kandil |
| collection | DOAJ |
| description | In this paper, we introduce the concept of mapping on hesitant fuzzy soft multisets and present some results for this type of mappings. The notions of inverse image and identity mapping are defined, and their basic properties are investigated. Hence, kinds of mappings and the composition of two hesitant fuzzy soft multimapping with the same dimension are presented. The concept of hesitant fuzzy soft multitopology is defined, and certain types of hesitant fuzzy soft multimapping such as continuity, open, closed, and homeomorphism are presented in detail. Also, their properties and results are studied. In addition, the concept of hesitant fuzzy soft multiconnected spaces is introduced. |
| format | Article |
| id | doaj-art-0e5998c326b34f0cb3eccb19f9a1a338 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-0e5998c326b34f0cb3eccb19f9a1a3382025-02-03T06:43:32ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2020-01-01202010.1155/2020/88948508894850Mappings and Connectedness on Hesitant Fuzzy Soft MultispacesA. Kandil0S. A. El-Sheikh1M. Hosny2M. Raafat3Department of Mathematics, Faculty of Science, Helwan University, Helwan, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Cairo, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Cairo, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Cairo, EgyptIn this paper, we introduce the concept of mapping on hesitant fuzzy soft multisets and present some results for this type of mappings. The notions of inverse image and identity mapping are defined, and their basic properties are investigated. Hence, kinds of mappings and the composition of two hesitant fuzzy soft multimapping with the same dimension are presented. The concept of hesitant fuzzy soft multitopology is defined, and certain types of hesitant fuzzy soft multimapping such as continuity, open, closed, and homeomorphism are presented in detail. Also, their properties and results are studied. In addition, the concept of hesitant fuzzy soft multiconnected spaces is introduced.http://dx.doi.org/10.1155/2020/8894850 |
| spellingShingle | A. Kandil S. A. El-Sheikh M. Hosny M. Raafat Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces Advances in Fuzzy Systems |
| title | Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces |
| title_full | Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces |
| title_fullStr | Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces |
| title_full_unstemmed | Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces |
| title_short | Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces |
| title_sort | mappings and connectedness on hesitant fuzzy soft multispaces |
| url | http://dx.doi.org/10.1155/2020/8894850 |
| work_keys_str_mv | AT akandil mappingsandconnectednessonhesitantfuzzysoftmultispaces AT saelsheikh mappingsandconnectednessonhesitantfuzzysoftmultispaces AT mhosny mappingsandconnectednessonhesitantfuzzysoftmultispaces AT mraafat mappingsandconnectednessonhesitantfuzzysoftmultispaces |