$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters
The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and several properties, including their relations, are i...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2022-11-01
|
| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3257_b8472e384739a29fb94249587e19d4c3.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841556277583413248 |
|---|---|
| author | Young Bae Jun B. Brundha N. Rajesh Ravikumar Bandaru |
| author_facet | Young Bae Jun B. Brundha N. Rajesh Ravikumar Bandaru |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and several properties, including their relations, are investigated. The conditions under which the $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$ -fuzzy near UP-filter$)$ can be the $(3,2)$-fuzzy near UP-filter $($resp., $(3,2)$-fuzzy UP-filter$)$ are searched. The characterizations of $(3,2)$-fuzzy UP-filter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and $(3,2)$-fuzzy UP-subalgebra is discussed. We use fuzzy UP-subalgebra $($resp., fuzzy near UP-filter, fuzzy UP-filter$)$ to create a $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$-fuzzy near UP-filter, $(3,2)$-fuzzy UP-filter$)$. |
| format | Article |
| id | doaj-art-5e3726cb1fb641b38e7a2d8bbd75e787 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-5e3726cb1fb641b38e7a2d8bbd75e7872025-01-07T10:26:23ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052022-11-0111311410.22103/jmmrc.2022.18786.11913257$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filtersYoung Bae Jun0B. Brundha1N. Rajesh2Ravikumar Bandaru3Department of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaDepartment of Mathematics, Government Arts College for Women, Orathanadu-614625, Tamilnadu, IndiaDepartment of Mathematics, Rajah Serfoji Government College, affliated to Bharathdasan University, Thanjavur-613005, Tamilnadu, IndiaDepartment of Mathematics, GITAM, Deemed to be University, Hyderabad Campus, Telangana-502329, IndiaThe aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and several properties, including their relations, are investigated. The conditions under which the $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$ -fuzzy near UP-filter$)$ can be the $(3,2)$-fuzzy near UP-filter $($resp., $(3,2)$-fuzzy UP-filter$)$ are searched. The characterizations of $(3,2)$-fuzzy UP-filter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and $(3,2)$-fuzzy UP-subalgebra is discussed. We use fuzzy UP-subalgebra $($resp., fuzzy near UP-filter, fuzzy UP-filter$)$ to create a $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$-fuzzy near UP-filter, $(3,2)$-fuzzy UP-filter$)$.https://jmmrc.uk.ac.ir/article_3257_b8472e384739a29fb94249587e19d4c3.pdffuzzy up-subalgebrafuzzy near up-filterfuzzy up-filterintuitionistic fuzzy up-subalgebra |
| spellingShingle | Young Bae Jun B. Brundha N. Rajesh Ravikumar Bandaru $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters Journal of Mahani Mathematical Research fuzzy up-subalgebra fuzzy near up-filter fuzzy up-filter intuitionistic fuzzy up-subalgebra |
| title | $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters |
| title_full | $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters |
| title_fullStr | $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters |
| title_full_unstemmed | $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters |
| title_short | $(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters |
| title_sort | 3 2 fuzzy up subalgebras and 3 2 fuzzy up filters |
| topic | fuzzy up-subalgebra fuzzy near up-filter fuzzy up-filter intuitionistic fuzzy up-subalgebra |
| url | https://jmmrc.uk.ac.ir/article_3257_b8472e384739a29fb94249587e19d4c3.pdf |
| work_keys_str_mv | AT youngbaejun 32fuzzyupsubalgebrasand32fuzzyupfilters AT bbrundha 32fuzzyupsubalgebrasand32fuzzyupfilters AT nrajesh 32fuzzyupsubalgebrasand32fuzzyupfilters AT ravikumarbandaru 32fuzzyupsubalgebrasand32fuzzyupfilters |