Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19

Shuker Khalil,Ahmed Hassan,Haya Alaskar,Wasiq Khan,Abir Hussain

doi:10.3390/math9222838

Abstract

A fuzzy logical algebra has diverse applications in various domains such as engineering, economics, environment, medicine, and so on. However, the existing techniques in algebra do not apply to delta-algebra. Therefore, the purpose of this paper was to investigate new types of cubic soft algebras and study their applications, the representation of cubic soft sets with δ-algebras, and new types of cubic soft algebras, such as cubic soft δ-subalgebra based on the parameter λ (λ-CSδ-SA) and cubic soft δ-subalgebra (CSδ-SA) over η. This study explains why the P-union is not really a soft cubic δ-subalgebra of two soft cubic δ-subalgebras. We also reveal that any R/P-cubic soft subsets of (CSδ-SA) is not necessarily (CSδ-SA). Furthermore, we present the required conditions to prove that the R-union of two members is (CSδ-SA) if each one of them is (CSδ-SA). To illustrate our assumptions, the proposed (CSδ-SA) is applied to study the effectiveness of medications for COVID-19 using the python program.

Highlights

Artificial Intelligence (AI) and logical algebra are studied in different non-classical sets like soft sets [1], fuzzy sets [2], and others, to solve various problems in our life
We showed that is not necessarily any R/P-cubic soft subset of (CSδ-SA) is (CSδSA)
We further provide the necessary criteria to demonstrate that the R-union of two members is (CSδ-SA) if each of them is (CSδ-SA)

Summary

Introduction

Artificial Intelligence (AI) and logical algebra are studied in different non-classical sets like soft sets [1], fuzzy sets [2], and others, to solve various problems in our life. The notion of fuzzy soft algebra was introduced by Jun and others [14], who called it fuzzy soft BCK-algebra. Jun et al [16] presented some operations such as P/R-union and P/R-intersection on cubic sets. They described several different ways to find the solutions for intricate problems in engineering, economics, and environment. We used δ-algebra to consider new types of cubic soft algebras, such as (λ-CSδ-SA) and (CSδ-SA) These classes in δ-algebra are different from any other class, since any pair ω 6= υ ∈ η − { f } in algebra (η, , f ), they satisfy the condition (υ(υω ))(ωυ) = f. The applied (CSδ-SA) to study the effectiveness of medications for COVID-19

Preliminary

Comparative Study

Findings

Conclusions