Generalization of bi-polar fuzzy soft interior ideals over semirings
In this paper, we introduce the notion of a generalized bi-polar fuzzy set whose membership degree range is [-0.5,0.5], as a generalization of a fuzzy set and a bi-polar fuzzy set, the notion of generalized bi-polar fuzzy ideal, generalized bi-polar fuzzy interior ideal of semiring, generalized bi-p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2019-06-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2614_d167f6d7c06ae923260ca0b8b1e30c6b.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849428060536832000 |
|---|---|
| author | M. Murali Krishna Rao |
| author_facet | M. Murali Krishna Rao |
| author_sort | M. Murali Krishna Rao |
| collection | DOAJ |
| description | In this paper, we introduce the notion of a generalized bi-polar fuzzy set whose membership degree range is [-0.5,0.5], as a generalization of a fuzzy set and a bi-polar fuzzy set, the notion of generalized bi-polar fuzzy ideal, generalized bi-polar fuzzy interior ideal of semiring, generalized bi-polar fuzzy soft ideal and generalized bi-polar fuzzy soft interior ideal over semiring and study some of their algebraic properties and the relations between them. |
| format | Article |
| id | doaj-art-d4a2ffdbb5724bbf8f366a5a579591df |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-d4a2ffdbb5724bbf8f366a5a579591df2025-08-20T03:28:49ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662019-06-0181698010.22098/jhs.2019.26142614Generalization of bi-polar fuzzy soft interior ideals over semiringsM. Murali Krishna Rao0Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045,A.P., India.In this paper, we introduce the notion of a generalized bi-polar fuzzy set whose membership degree range is [-0.5,0.5], as a generalization of a fuzzy set and a bi-polar fuzzy set, the notion of generalized bi-polar fuzzy ideal, generalized bi-polar fuzzy interior ideal of semiring, generalized bi-polar fuzzy soft ideal and generalized bi-polar fuzzy soft interior ideal over semiring and study some of their algebraic properties and the relations between them.https://jhs.uma.ac.ir/article_2614_d167f6d7c06ae923260ca0b8b1e30c6b.pdfbi-polar fuzzy setsoft setfuzzy soft setgeneralized bi-polar fuzzy soft idealgeneralized bi-polar fuzzy soft interior ideal |
| spellingShingle | M. Murali Krishna Rao Generalization of bi-polar fuzzy soft interior ideals over semirings Journal of Hyperstructures bi-polar fuzzy set soft set fuzzy soft set generalized bi-polar fuzzy soft ideal generalized bi-polar fuzzy soft interior ideal |
| title | Generalization of bi-polar fuzzy soft interior ideals over semirings |
| title_full | Generalization of bi-polar fuzzy soft interior ideals over semirings |
| title_fullStr | Generalization of bi-polar fuzzy soft interior ideals over semirings |
| title_full_unstemmed | Generalization of bi-polar fuzzy soft interior ideals over semirings |
| title_short | Generalization of bi-polar fuzzy soft interior ideals over semirings |
| title_sort | generalization of bi polar fuzzy soft interior ideals over semirings |
| topic | bi-polar fuzzy set soft set fuzzy soft set generalized bi-polar fuzzy soft ideal generalized bi-polar fuzzy soft interior ideal |
| url | https://jhs.uma.ac.ir/article_2614_d167f6d7c06ae923260ca0b8b1e30c6b.pdf |
| work_keys_str_mv | AT mmuralikrishnarao generalizationofbipolarfuzzysoftinterioridealsoversemirings |