A p -Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets

Jeong-Gon Lee, Mohammad Fozouni, Kul Hur and Young Bae Jun
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Jeong-Gon Lee: Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea
Mohammad Fozouni: Department of Mathematics, Faculty of Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous P.O. 163, Iran
Kul Hur: Department of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2020, vol. 8, issue 6, 1-14

Abstract: In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras. In this paper, we used this notion to study p -ideals of BCI-algebras. The notion of k -polar intuitionistic fuzzy p -ideals in BCI-algebras is introduced, and several properties were investigated. An example to illustrate the k -polar intuitionistic fuzzy p -ideal is given. The relationship between k -polar intuitionistic fuzzy ideal and k -polar intuitionistic fuzzy p -ideal is displayed. A k -polar intuitionistic fuzzy p -ideal is found to be k -polar intuitionistic fuzzy ideal, and an example to show that the converse is not true is provided. The notions of p -ideals and k -polar ( ∈ , ∈ ) -fuzzy p -ideal in BCI-algebras are used to study the characterization of k -polar intuitionistic p -ideal. The concept of normal k -polar intuitionistic fuzzy p -ideal is introduced, and its characterization is discussed. The process of eliciting normal k -polar intuitionistic fuzzy p -ideal using k -polar intuitionistic fuzzy p -ideal is provided.

Keywords: multipolar intuitionistic fuzzy set with finite degree k; k -polar (?,?)-fuzzy ideal; k -polar intuitionistic fuzzy ideal; k -polar intuitionistic fuzzy p -ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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