Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras

Young Joo Seo, Hee Sik Kim, Young Bae Jun and Sun Shin Ahn
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Young Joo Seo: Department of Mathematics, Daejin University, Pochen 11159, Korea
Hee Sik Kim: Research Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul 04763, Korea
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Sun Shin Ahn: Department of Mathematics, Dongguk University, Seoul 04620, Korea

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a k -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 k -polar intuitionistic fuzzy hyper BCK-ideal, the k -polar intuitionistic fuzzy weak hyper BCK-ideal, the k -polar intuitionistic fuzzy s -weak hyper BCK-ideal, the k -polar intuitionistic fuzzy strong hyper BCK-ideal and the k -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 k -polar lower level set and the k -polar upper level set.

Keywords: k -polar intuitionistic fuzzy hyper BCK-ideal; k -polar intuitionistic fuzzy weak hyper BCK-ideal; k -polar intuitionistic fuzzy s -weak hyper BCK-ideal; k -polar intuitionistic fuzzy strong hyper BCK-ideal; k -polar intuitionistic fuzzy reflexive hyper BCK-ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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