Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras
In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a <i>k</i>-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a multipolar intuitionistic...
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MDPI AG
2020-08-01
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| Online Access: | https://www.mdpi.com/2227-7390/8/8/1373 |
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| author | Young Joo Seo Hee Sik Kim Young Bae Jun Sun Shin Ahn |
| author_facet | Young Joo Seo Hee Sik Kim Young Bae Jun Sun Shin Ahn |
| author_sort | Young Joo Seo |
| collection | DOAJ |
| description | In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a <i>k</i>-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a multipolar intuitionistic fuzzy set of finite degree to a hyper BCK-algebra. The notions of the <i>k</i>-polar intuitionistic fuzzy hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy weak hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy <i>s</i>-weak hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy strong hyper BCK-ideal and the <i>k</i>-polar intuitionistic fuzzy reflexive hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These concepts are discussed in connection with the <i>k</i>-polar lower level set and the <i>k</i>-polar upper level set. |
| first_indexed | 2024-03-10T17:21:18Z |
| format | Article |
| id | doaj.art-51fc61d461014161b4ba898d5ba6642b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T17:21:18Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-51fc61d461014161b4ba898d5ba6642b2023-11-20T10:19:39ZengMDPI AGMathematics2227-73902020-08-0188137310.3390/math8081373Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-AlgebrasYoung Joo Seo0Hee Sik Kim1Young Bae Jun2Sun Shin Ahn3Department of Mathematics, Daejin University, Pochen 11159, KoreaResearch Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul 04763, KoreaDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaDepartment of Mathematics, Dongguk University, Seoul 04620, KoreaIn 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a <i>k</i>-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a multipolar intuitionistic fuzzy set of finite degree to a hyper BCK-algebra. The notions of the <i>k</i>-polar intuitionistic fuzzy hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy weak hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy <i>s</i>-weak hyper BCK-ideal, the <i>k</i>-polar intuitionistic fuzzy strong hyper BCK-ideal and the <i>k</i>-polar intuitionistic fuzzy reflexive hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These concepts are discussed in connection with the <i>k</i>-polar lower level set and the <i>k</i>-polar upper level set.https://www.mdpi.com/2227-7390/8/8/1373<i>k</i>-polar intuitionistic fuzzy hyper BCK-ideal<i>k</i>-polar intuitionistic fuzzy weak hyper BCK-ideal<i>k</i>-polar intuitionistic fuzzy <i>s</i>-weak hyper BCK-ideal<i>k</i>-polar intuitionistic fuzzy strong hyper BCK-ideal<i>k</i>-polar intuitionistic fuzzy reflexive hyper BCK-ideal |
| spellingShingle | Young Joo Seo Hee Sik Kim Young Bae Jun Sun Shin Ahn Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras Mathematics <i>k</i>-polar intuitionistic fuzzy hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy weak hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy <i>s</i>-weak hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy strong hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy reflexive hyper BCK-ideal |
| title | Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras |
| title_full | Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras |
| title_fullStr | Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras |
| title_full_unstemmed | Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras |
| title_short | Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras |
| title_sort | multipolar intuitionistic fuzzy hyper bck ideals in hyper bck algebras |
| topic | <i>k</i>-polar intuitionistic fuzzy hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy weak hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy <i>s</i>-weak hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy strong hyper BCK-ideal <i>k</i>-polar intuitionistic fuzzy reflexive hyper BCK-ideal |
| url | https://www.mdpi.com/2227-7390/8/8/1373 |
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