Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras
In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In additi...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2024-05-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23164 |
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| author | Royyan Amigo Noor Hidayat Vira Hari Krisnawati |
| author_facet | Royyan Amigo Noor Hidayat Vira Hari Krisnawati |
| author_sort | Royyan Amigo |
| collection | DOAJ |
| description | In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)= Inf{l(y),l(z)} and s(x) = Sup{s(y),s(z)}, for all x,y,z. |
| format | Article |
| id | doaj-art-b57e9883f4894eceafb7a1ff59dfd98c |
| institution | OA Journals |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-b57e9883f4894eceafb7a1ff59dfd98c2025-08-20T02:12:46ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442024-05-0191263510.18860/ca.v9i1.231647818Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-AlgebrasRoyyan Amigo0Noor Hidayat1Vira Hari Krisnawati2Darunnajah UniversityBrawijaya UniversityBrawijaya UniversityIn this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)= Inf{l(y),l(z)} and s(x) = Sup{s(y),s(z)}, for all x,y,z.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23164b-algebrascommutative b-algebrasmultipolar intuitionistic fuzzy setmultipolar intuitionistic fuzzy idealmultipolar intuitionistic fuzzy positive implicative ideal. |
| spellingShingle | Royyan Amigo Noor Hidayat Vira Hari Krisnawati Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras Cauchy: Jurnal Matematika Murni dan Aplikasi b-algebras commutative b-algebras multipolar intuitionistic fuzzy set multipolar intuitionistic fuzzy ideal multipolar intuitionistic fuzzy positive implicative ideal. |
| title | Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras |
| title_full | Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras |
| title_fullStr | Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras |
| title_full_unstemmed | Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras |
| title_short | Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras |
| title_sort | multipolar intuitionistic fuzzy positive implicative ideal in b algebras |
| topic | b-algebras commutative b-algebras multipolar intuitionistic fuzzy set multipolar intuitionistic fuzzy ideal multipolar intuitionistic fuzzy positive implicative ideal. |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23164 |
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