Some Properties of Intuitionistic Fuzzy Soft Rings
Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properti...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/650480 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567653314592768 |
|---|---|
| author | B. A. Ersoy S. Onar K. Hila B. Davvaz |
| author_facet | B. A. Ersoy S. Onar K. Hila B. Davvaz |
| author_sort | B. A. Ersoy |
| collection | DOAJ |
| description | Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered. |
| format | Article |
| id | doaj-art-663e494704314066b508a0bdf9d83429 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-663e494704314066b508a0bdf9d834292025-02-03T01:00:55ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/650480650480Some Properties of Intuitionistic Fuzzy Soft RingsB. A. Ersoy0S. Onar1K. Hila2B. Davvaz3Department of Mathematics, Yildiz Technical University, 81270 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, 81270 Istanbul, TurkeyDepartment of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, AlbaniaDepartment of Mathematics, Yazd University, Yazd, IranMaji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered.http://dx.doi.org/10.1155/2013/650480 |
| spellingShingle | B. A. Ersoy S. Onar K. Hila B. Davvaz Some Properties of Intuitionistic Fuzzy Soft Rings Journal of Mathematics |
| title | Some Properties of Intuitionistic Fuzzy Soft Rings |
| title_full | Some Properties of Intuitionistic Fuzzy Soft Rings |
| title_fullStr | Some Properties of Intuitionistic Fuzzy Soft Rings |
| title_full_unstemmed | Some Properties of Intuitionistic Fuzzy Soft Rings |
| title_short | Some Properties of Intuitionistic Fuzzy Soft Rings |
| title_sort | some properties of intuitionistic fuzzy soft rings |
| url | http://dx.doi.org/10.1155/2013/650480 |
| work_keys_str_mv | AT baersoy somepropertiesofintuitionisticfuzzysoftrings AT sonar somepropertiesofintuitionisticfuzzysoftrings AT khila somepropertiesofintuitionisticfuzzysoftrings AT bdavvaz somepropertiesofintuitionisticfuzzysoftrings |