New Branch of Intuitionistic Fuzzification in Algebras with Their Applications
The intuitionistic fuzzification in ρ-algebras about the concepts of ideals and subalgebras given with several related characterizations is considered. Some new concepts like intuitionistic fuzzy ρ-ideal (IFρi), intuitionistic fuzzy ρ-subalgebra (IFρs), ρ-homomorphism, and intuitionistic fuzzy ρ¯-id...
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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: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/5712676 |
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| author | Samaher Adnan Abdul-Ghani Shuker Mahmood Khalil Mayadah Abd Ulrazaq Abu Firas Muhammad Jawad Al-Musawi |
| author_facet | Samaher Adnan Abdul-Ghani Shuker Mahmood Khalil Mayadah Abd Ulrazaq Abu Firas Muhammad Jawad Al-Musawi |
| author_sort | Samaher Adnan Abdul-Ghani |
| collection | DOAJ |
| description | The intuitionistic fuzzification in ρ-algebras about the concepts of ideals and subalgebras given with several related characterizations is considered. Some new concepts like intuitionistic fuzzy ρ-ideal (IFρi), intuitionistic fuzzy ρ-subalgebra (IFρs), ρ-homomorphism, and intuitionistic fuzzy ρ¯-ideal (IFρ¯i) are introduced and some of their descriptions are given in this work. Further, we show some applications on the family of all intuitionistic fuzzy ρ-subalgebras IFρS(R) in ρ-algebra like the binary relations ≈μ, ≈ν and Γr on IFρS(R). Also, their equivalence classes are given and studied. |
| format | Article |
| id | doaj-art-c107c1eb7e9949c489ba327b1a94e14c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c107c1eb7e9949c489ba327b1a94e14c2025-02-03T07:24:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/57126765712676New Branch of Intuitionistic Fuzzification in Algebras with Their ApplicationsSamaher Adnan Abdul-Ghani0Shuker Mahmood Khalil1Mayadah Abd Ulrazaq2Abu Firas Muhammad Jawad Al-Musawi3Department of Mathematics, College of Science, Basrah University, Basrah 61004, IraqDepartment of Mathematics, College of Science, Basrah University, Basrah 61004, IraqDepartment of Mathematics, College of Science, Basrah University, Basrah 61004, IraqDepartment of Mathematics, College of Science, Basrah University, Basrah 61004, IraqThe intuitionistic fuzzification in ρ-algebras about the concepts of ideals and subalgebras given with several related characterizations is considered. Some new concepts like intuitionistic fuzzy ρ-ideal (IFρi), intuitionistic fuzzy ρ-subalgebra (IFρs), ρ-homomorphism, and intuitionistic fuzzy ρ¯-ideal (IFρ¯i) are introduced and some of their descriptions are given in this work. Further, we show some applications on the family of all intuitionistic fuzzy ρ-subalgebras IFρS(R) in ρ-algebra like the binary relations ≈μ, ≈ν and Γr on IFρS(R). Also, their equivalence classes are given and studied.http://dx.doi.org/10.1155/2018/5712676 |
| spellingShingle | Samaher Adnan Abdul-Ghani Shuker Mahmood Khalil Mayadah Abd Ulrazaq Abu Firas Muhammad Jawad Al-Musawi New Branch of Intuitionistic Fuzzification in Algebras with Their Applications International Journal of Mathematics and Mathematical Sciences |
| title | New Branch of Intuitionistic Fuzzification in Algebras with Their Applications |
| title_full | New Branch of Intuitionistic Fuzzification in Algebras with Their Applications |
| title_fullStr | New Branch of Intuitionistic Fuzzification in Algebras with Their Applications |
| title_full_unstemmed | New Branch of Intuitionistic Fuzzification in Algebras with Their Applications |
| title_short | New Branch of Intuitionistic Fuzzification in Algebras with Their Applications |
| title_sort | new branch of intuitionistic fuzzification in algebras with their applications |
| url | http://dx.doi.org/10.1155/2018/5712676 |
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