Analysis of BCK/BCI-Algebras Based on Bipolar Complex Intuitionistic Fuzzy Soft Ideals

Abstract

In this article, we design an informative and reliable technique of bipolar complex intuitionistic fuzzy soft sets with numerous operational laws by merging the model of soft sets, complex fuzzy sets, and bipolar intuitionistic fuzzy sets to handle imprecise data. In addition, an ideal in a BCK-algebra is derived based on bipolar complex intuitionistic fuzzy soft set theory are proposed which can capture the information of hesitancy, vagueness, and non-membership information within the circumstance of BCK-algebra. Moreover, we design union, intersection, AND, and OR based on bipolar complex intuitionistic fuzzy soft ideal and simplify it with the help of numerous illustrations to justify the effectiveness of the invented theory. In the end, we also evaluate numerous results for the above-invented techniques to enhance the worth of the proposed theory.