Some properties of intuitionistic fuzzy modules
In this paper, we discuss the structure of intuitionistic fuzzy modules and investigate some fundamental properties of them. Also we study about intuitionistic fuzzy homomorphisms between intuitionistic fuzzy modules.We study about exact sequences, products and co-products, func- tors and relating t...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-06-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_185964_fc27f5726a03f8de78e21dd8f720eabc.pdf |
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| _version_ | 1832577804882935808 |
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| author | Behnam Talaee Mehrnoosh Sobhani Bijan Davvaz |
| author_facet | Behnam Talaee Mehrnoosh Sobhani Bijan Davvaz |
| author_sort | Behnam Talaee |
| collection | DOAJ |
| description | In this paper, we discuss the structure of intuitionistic fuzzy modules and investigate some fundamental properties of them. Also we study about intuitionistic fuzzy homomorphisms between intuitionistic fuzzy modules.We study about exact sequences, products and co-products, func- tors and relating topics in IFR−Mod and investigate the relationship between them, where IFR−Mod is category whose objects are intu- itionidtic fuzzy modules and morphisms are intuitionistic fuzzy homo-morphisms.For a commutative ring R and two intuitionistic fuzzy R-modules A=(µA, νA) ≤IF M, B = (µB, νB) ≤IF N, we show that (A, B) = (α, β) is an intuitionistic fuzzy R-module. |
| format | Article |
| id | doaj-art-4231157618e84b85a6ac75f5905fbcd8 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-4231157618e84b85a6ac75f5905fbcd82025-01-30T15:07:06ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-06-015219019810.22105/jfea.2022.364946.1233185964Some properties of intuitionistic fuzzy modulesBehnam Talaee0Mehrnoosh Sobhani1Bijan Davvaz2Babol Noshirvani University of Technology, Shariati Ave, Babol, Iran.Babol Noshirvani University of Technology, Shariati Ave, Babol, Iran.Department of Mathematics, Yazd University, Yazd, Iran.In this paper, we discuss the structure of intuitionistic fuzzy modules and investigate some fundamental properties of them. Also we study about intuitionistic fuzzy homomorphisms between intuitionistic fuzzy modules.We study about exact sequences, products and co-products, func- tors and relating topics in IFR−Mod and investigate the relationship between them, where IFR−Mod is category whose objects are intu- itionidtic fuzzy modules and morphisms are intuitionistic fuzzy homo-morphisms.For a commutative ring R and two intuitionistic fuzzy R-modules A=(µA, νA) ≤IF M, B = (µB, νB) ≤IF N, we show that (A, B) = (α, β) is an intuitionistic fuzzy R-module.https://www.journal-fea.com/article_185964_fc27f5726a03f8de78e21dd8f720eabc.pdfintuitionistic fuzzy modulesintuitionistic fuzzy projective mod-ulesintuitionistic fuzzy exact sequences |
| spellingShingle | Behnam Talaee Mehrnoosh Sobhani Bijan Davvaz Some properties of intuitionistic fuzzy modules Journal of Fuzzy Extension and Applications intuitionistic fuzzy modules intuitionistic fuzzy projective mod-ules intuitionistic fuzzy exact sequences |
| title | Some properties of intuitionistic fuzzy modules |
| title_full | Some properties of intuitionistic fuzzy modules |
| title_fullStr | Some properties of intuitionistic fuzzy modules |
| title_full_unstemmed | Some properties of intuitionistic fuzzy modules |
| title_short | Some properties of intuitionistic fuzzy modules |
| title_sort | some properties of intuitionistic fuzzy modules |
| topic | intuitionistic fuzzy modules intuitionistic fuzzy projective mod-ules intuitionistic fuzzy exact sequences |
| url | https://www.journal-fea.com/article_185964_fc27f5726a03f8de78e21dd8f720eabc.pdf |
| work_keys_str_mv | AT behnamtalaee somepropertiesofintuitionisticfuzzymodules AT mehrnooshsobhani somepropertiesofintuitionisticfuzzymodules AT bijandavvaz somepropertiesofintuitionisticfuzzymodules |