A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes
Mapping is a fundamental mathematical concept that is used in many elementary areas of science and mathematics and has numerous applications. The core purpose of this study is to provide a theoretical and analytical approach for carving out a basic structure of composite mappings on the classes of F...
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Format: | Article |
Language: | English |
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University of New Mexico
2021-08-01
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Series: | Neutrosophic Sets and Systems |
Subjects: | |
Online Access: | http://fs.unm.edu/NSS/TheoreticalAnalyticalApproach18.pdf |
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author | Muhmmad Ahsan Muhammad Saeed Atiqe Ur Rahman |
author_facet | Muhmmad Ahsan Muhammad Saeed Atiqe Ur Rahman |
author_sort | Muhmmad Ahsan |
collection | DOAJ |
description | Mapping is a fundamental mathematical concept that is used in many elementary areas of science and mathematics and has numerous applications. The core purpose of this study is to provide a theoretical and analytical approach for carving out a basic structure of composite mappings on the classes of Fuzzy Hypersoft (FHS) sets. It is a comprehensive study of existing concepts regarding mappings on fuzzy soft, soft and hesitant fuzzy soft classes through characterizing of composite mappings on FHS classes. Moreover, certain generalized properties of mappings on FHS classes like FHS images and FHS inverse images, are established. Some related results are verified with the help of illustrative examples. |
first_indexed | 2024-04-12T12:39:28Z |
format | Article |
id | doaj.art-75e2b4f9386d45c08932fd7c46911a31 |
institution | Directory Open Access Journal |
issn | 2331-6055 2331-608X |
language | English |
last_indexed | 2024-04-12T12:39:28Z |
publishDate | 2021-08-01 |
publisher | University of New Mexico |
record_format | Article |
series | Neutrosophic Sets and Systems |
spelling | doaj.art-75e2b4f9386d45c08932fd7c46911a312022-12-22T03:32:49ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-08-014526828510.5281/zenodo.5486295A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft ClassesMuhmmad AhsanMuhammad SaeedAtiqe Ur RahmanMapping is a fundamental mathematical concept that is used in many elementary areas of science and mathematics and has numerous applications. The core purpose of this study is to provide a theoretical and analytical approach for carving out a basic structure of composite mappings on the classes of Fuzzy Hypersoft (FHS) sets. It is a comprehensive study of existing concepts regarding mappings on fuzzy soft, soft and hesitant fuzzy soft classes through characterizing of composite mappings on FHS classes. Moreover, certain generalized properties of mappings on FHS classes like FHS images and FHS inverse images, are established. Some related results are verified with the help of illustrative examples. http://fs.unm.edu/NSS/TheoreticalAnalyticalApproach18.pdffuzzy softsoft classeshesitant fuzzy soft classescomposite mappingsfuzzy hypersoft set |
spellingShingle | Muhmmad Ahsan Muhammad Saeed Atiqe Ur Rahman A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes Neutrosophic Sets and Systems fuzzy soft soft classes hesitant fuzzy soft classes composite mappings fuzzy hypersoft set |
title | A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes |
title_full | A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes |
title_fullStr | A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes |
title_full_unstemmed | A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes |
title_short | A Theoretical and Analytical Approach for Fundamental Framework of Composite mappings on Fuzzy Hypersoft Classes |
title_sort | theoretical and analytical approach for fundamental framework of composite mappings on fuzzy hypersoft classes |
topic | fuzzy soft soft classes hesitant fuzzy soft classes composite mappings fuzzy hypersoft set |
url | http://fs.unm.edu/NSS/TheoreticalAnalyticalApproach18.pdf |
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