Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras
This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. Then, we introd...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6610009 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565998313537536 |
|---|---|
| author | Anas Al-Masarwah Abd Ghafur Ahmad G. Muhiuddin D. Al-Kadi |
| author_facet | Anas Al-Masarwah Abd Ghafur Ahmad G. Muhiuddin D. Al-Kadi |
| author_sort | Anas Al-Masarwah |
| collection | DOAJ |
| description | This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. Then, we introduce the concepts of m-polar ∈,∈∨q-fuzzy positive implicative ideals and m-polar ∈¯,∈¯∨q¯-fuzzy positive implicative ideals in BCK-algebras as a generalization of m-polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered. |
| format | Article |
| id | doaj-art-6b429ebc4de3437b91f67df59d8a1ab8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6b429ebc4de3437b91f67df59d8a1ab82025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66100096610009Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-AlgebrasAnas Al-Masarwah0Abd Ghafur Ahmad1G. Muhiuddin2D. Al-Kadi3Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi 43600, Selangor DE, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi 43600, Selangor DE, MalaysiaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics and Statistic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThis study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. Then, we introduce the concepts of m-polar ∈,∈∨q-fuzzy positive implicative ideals and m-polar ∈¯,∈¯∨q¯-fuzzy positive implicative ideals in BCK-algebras as a generalization of m-polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered.http://dx.doi.org/10.1155/2021/6610009 |
| spellingShingle | Anas Al-Masarwah Abd Ghafur Ahmad G. Muhiuddin D. Al-Kadi Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras Journal of Mathematics |
| title | Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras |
| title_full | Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras |
| title_fullStr | Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras |
| title_full_unstemmed | Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras |
| title_short | Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras |
| title_sort | generalized m polar fuzzy positive implicative ideals of bck algebras |
| url | http://dx.doi.org/10.1155/2021/6610009 |
| work_keys_str_mv | AT anasalmasarwah generalizedmpolarfuzzypositiveimplicativeidealsofbckalgebras AT abdghafurahmad generalizedmpolarfuzzypositiveimplicativeidealsofbckalgebras AT gmuhiuddin generalizedmpolarfuzzypositiveimplicativeidealsofbckalgebras AT dalkadi generalizedmpolarfuzzypositiveimplicativeidealsofbckalgebras |