| Summary: | 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 <i>p</i>-ideals of BCI-algebras. The notion of <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideals in BCI-algebras is introduced, and several properties were investigated. An example to illustrate the <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal is given. The relationship between <i>k</i>-polar intuitionistic fuzzy ideal and <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal is displayed. A <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal is found to be <i>k</i>-polar intuitionistic fuzzy ideal, and an example to show that the converse is not true is provided. The notions of <i>p</i>-ideals and <i>k</i>-polar <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mo>∈</mo> <mo>,</mo> <mo>∈</mo> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>-fuzzy <i>p</i>-ideal in BCI-algebras are used to study the characterization of <i>k</i>-polar intuitionistic <i>p</i>-ideal. The concept of normal <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal is introduced, and its characterization is discussed. The process of eliciting normal <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal using <i>k</i>-polar intuitionistic fuzzy <i>p</i>-ideal is provided.
|
|---|