Mathematics (Aug 2020)

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

  • Young Joo Seo,
  • Hee Sik Kim,
  • Young Bae Jun,
  • Sun Shin Ahn

DOI
https://doi.org/10.3390/math8081373
Journal volume & issue
Vol. 8, no. 8
p. 1373

Abstract

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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.

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