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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Bibliographic Details
Main Authors: Young Joo Seo, Hee Sik Kim, Young Bae Jun, Sun Shin Ahn
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1373
Description
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.
ISSN:2227-7390