Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra.
In this paper, the notions of bipolar valued fuzzy SA-subalgebras and bipolar valued fuzzy SA-ideals on SA-algebras with their properties are familiarized. Several theorems are stated and proved with their examples. After that we introduced new notion which is negative anti-fuzzy SA-subalgebra(SA-i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Anbar
2023-12-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
| Subjects: | |
| Online Access: | https://juaps.uoanbar.edu.iq/article_181582_30f3d847ad5eebc6e7e2782190d37799.pdf |
| _version_ | 1827396108537561088 |
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| author | Alaa Abed areej hameed |
| author_facet | Alaa Abed areej hameed |
| author_sort | Alaa Abed |
| collection | DOAJ |
| description | In this paper, the notions of bipolar valued fuzzy SA-subalgebras and bipolar valued fuzzy SA-ideals on SA-algebras with their properties are familiarized. Several theorems are stated and proved with their examples. After that we introduced new notion which is negative anti-fuzzy SA-subalgebra(SA-ideal) of SA-algebra . The image and inverse image of bipolar valued fuzzy SA-subalgebras and bipolar valued fuzzy SA-ideals are defined and how the homomorphic images and inverse images of bipolar valued become bipolar valued fuzzy on SA-algebras is studied as well. |
| first_indexed | 2024-03-08T18:46:00Z |
| format | Article |
| id | doaj.art-58a171c411544d20a266882dc7f5c380 |
| institution | Directory Open Access Journal |
| issn | 1991-8941 2706-6703 |
| language | English |
| last_indexed | 2024-03-08T18:46:00Z |
| publishDate | 2023-12-01 |
| publisher | University of Anbar |
| record_format | Article |
| series | مجلة جامعة الانبار للعلوم الصرفة |
| spelling | doaj.art-58a171c411544d20a266882dc7f5c3802023-12-28T22:02:45ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032023-12-0117232633710.37652/juaps.2023.181582181582Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra.Alaa Abed0areej hameed12Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq;Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq;In this paper, the notions of bipolar valued fuzzy SA-subalgebras and bipolar valued fuzzy SA-ideals on SA-algebras with their properties are familiarized. Several theorems are stated and proved with their examples. After that we introduced new notion which is negative anti-fuzzy SA-subalgebra(SA-ideal) of SA-algebra . The image and inverse image of bipolar valued fuzzy SA-subalgebras and bipolar valued fuzzy SA-ideals are defined and how the homomorphic images and inverse images of bipolar valued become bipolar valued fuzzy on SA-algebras is studied as well.https://juaps.uoanbar.edu.iq/article_181582_30f3d847ad5eebc6e7e2782190d37799.pdfsa-algebrasfuzzy sa-subalgebrabipolar valued fuzzy sa-subalgebrafuzzy sa-idealbipolar valued fuzzy sa-ideal |
| spellingShingle | Alaa Abed areej hameed Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. مجلة جامعة الانبار للعلوم الصرفة sa-algebras fuzzy sa-subalgebra bipolar valued fuzzy sa-subalgebra fuzzy sa-ideal bipolar valued fuzzy sa-ideal |
| title | Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. |
| title_full | Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. |
| title_fullStr | Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. |
| title_full_unstemmed | Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. |
| title_short | Bipolar Valued Fuzzy SA-subalgebras and Fuzzy SA-ideals of SA- algebra. |
| title_sort | bipolar valued fuzzy sa subalgebras and fuzzy sa ideals of sa algebra |
| topic | sa-algebras fuzzy sa-subalgebra bipolar valued fuzzy sa-subalgebra fuzzy sa-ideal bipolar valued fuzzy sa-ideal |
| url | https://juaps.uoanbar.edu.iq/article_181582_30f3d847ad5eebc6e7e2782190d37799.pdf |
| work_keys_str_mv | AT alaaabed bipolarvaluedfuzzysasubalgebrasandfuzzysaidealsofsaalgebra AT areejhameed bipolarvaluedfuzzysasubalgebrasandfuzzysaidealsofsaalgebra |