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Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebrasopen access
- Issue Date
- Aug-2020
- Publisher
- MDPI AG
- Keywords
- k-polar intuitionistic fuzzy hyper BCK-ideal; k-polar intuitionistic fuzzy weak hyper BCK-ideal; k-polar intuitionistic fuzzys-weak hyper BCK-ideal; k-polar intuitionistic fuzzy strong hyper BCK-ideal; k-polar intuitionistic fuzzy reflexive hyper BCK-ideal
- Citation
- Mathematics, v.8, no.8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Mathematics
- Volume
- 8
- Number
- 8
- ISSN
- 2227-7390
- Abstract
- In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of ak-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 thek-polar intuitionistic fuzzy hyper BCK-ideal, thek-polar intuitionistic fuzzy weak hyper BCK-ideal, thek-polar intuitionistic fuzzys-weak hyper BCK-ideal, thek-polar intuitionistic fuzzy strong hyper BCK-ideal and thek-polar intuitionistic fuzzy reflexive hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These concepts are discussed in connection with thek-polar lower level set and thek-polar upper level set.
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