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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Main Authors: Muhmmad Ahsan, Muhammad Saeed, Atiqe Ur Rahman
Format: Article
Language:English
Published: University of New Mexico 2021-08-01
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.
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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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