Summary: | 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.
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