(1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients
As an extension of intuitionistic fuzzy sets, we introduce the notion of -fuzzy set ( denoted by SSR) of QS -ideals on a OS -algebra and investigate its properties. Furthermore we study the homomorphic image and inverse image of SSR -fuzzy QS -ideals of a QS -algebra under homomorphism of QS -algebr...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2024-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3540_baa90f1402a7dccc3b1618a6c6f4db5b.pdf |
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| _version_ | 1839635421928095744 |
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| author | Mostafa Hassan Samy Mostafa |
| author_facet | Mostafa Hassan Samy Mostafa |
| author_sort | Mostafa Hassan |
| collection | DOAJ |
| description | As an extension of intuitionistic fuzzy sets, we introduce the notion of -fuzzy set ( denoted by SSR) of QS -ideals on a OS -algebra and investigate its properties. Furthermore we study the homomorphic image and inverse image of SSR -fuzzy QS -ideals of a QS -algebra under homomorphism of QS -algebras. Moreover, the Cartesian product of SSR -fuzzy QS -ideals in Cartesian product QS-algebras is given. Finally, novel correlation coefficient between two SSR- fuzzy sets are also studied. |
| format | Article |
| id | doaj-art-c029b3de365d4f8dbb42e5cd49d78557 |
| institution | Matheson Library |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-c029b3de365d4f8dbb42e5cd49d785572025-07-09T08:13:14ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113218820310.22098/jhs.2024.15397.10263540(1/2,1/2)-Fuzzy QS–ideals and its correlation coefficientsMostafa Hassan0Samy Mostafa1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt.As an extension of intuitionistic fuzzy sets, we introduce the notion of -fuzzy set ( denoted by SSR) of QS -ideals on a OS -algebra and investigate its properties. Furthermore we study the homomorphic image and inverse image of SSR -fuzzy QS -ideals of a QS -algebra under homomorphism of QS -algebras. Moreover, the Cartesian product of SSR -fuzzy QS -ideals in Cartesian product QS-algebras is given. Finally, novel correlation coefficient between two SSR- fuzzy sets are also studied.https://jhs.uma.ac.ir/article_3540_baa90f1402a7dccc3b1618a6c6f4db5b.pdfqs-subalgebraimage under homomorphismcartesian product |
| spellingShingle | Mostafa Hassan Samy Mostafa (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients Journal of Hyperstructures qs-subalgebra image under homomorphism cartesian product |
| title | (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients |
| title_full | (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients |
| title_fullStr | (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients |
| title_full_unstemmed | (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients |
| title_short | (1/2,1/2)-Fuzzy QS–ideals and its correlation coefficients |
| title_sort | 1 2 1 2 fuzzy qs ideals and its correlation coefficients |
| topic | qs-subalgebra image under homomorphism cartesian product |
| url | https://jhs.uma.ac.ir/article_3540_baa90f1402a7dccc3b1618a6c6f4db5b.pdf |
| work_keys_str_mv | AT mostafahassan 1212fuzzyqsidealsanditscorrelationcoefficients AT samymostafa 1212fuzzyqsidealsanditscorrelationcoefficients |