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

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.

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Publication Details

Journal
Neutrosophic Systems with Applications
Published
2024-12-01
DOI
https://doi.org/10.61356/j.nswa.2024.24419
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

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

Zeeshan Ali
Neutrosophic Systems with Applications
Fuzzy and Soft Set Theory
article

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

Zeeshan Ali
article en

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.

Neutrosophic Systems with ApplicationsVol. 24
National Yunlin University of Science and Technology (TW)
Openalex Percentile: Top 73%
Fuzzy and Soft Set Theory
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Analysis of BCK/BCI-Algebras Based on Bipolar Complex Intuitionistic Fuzzy Soft Ideals — Zeeshan Ali · Neutrosophic Systems with Applications (2024) | TGRS Research Map | TGRS