Authors

Mohammed Zakaria Moustafa¹, Hassan Mahmoud Elragal¹, Mohammed Rizk Mohammed¹, Hatem Awad Khater² and Hager Ali Yahia¹, ¹ALEXANDRIA University, Egypt, ²Horus University, Egypt

Abstract

A support vector machine (SVM) learns the decision surface from two different classes of the input points. In several applications, some of the input points are misclassified and each is not fully allocated to either of these two groups. In this paper a bi-objective quadratic programming model with fuzzy parameters is utilized and different feature quality measures are optimized simultaneously. An α-cut is defined to transform the fuzzy model to a family of classical bi-objective quadratic programming problems. The weighting method is used to optimize each of these problems. For the proposed fuzzy bi-objective quadratic programming model, a major contribution will be added by obtaining different effective support vectors due to changes in weighting values. The experimental results, show the effectiveness of the α-cut with the weighting parameters on reducing the misclassification between two classes of the input points. An interactive procedure will be added to identify the best compromise solution from the generated efficient solutions. The main contribution of this paper includes constructing a utility function for measuring the degree of infection with coronavirus disease (COVID-19).

Keywords

Support vector machine (SVMs); Classification; Multi-objective problems; Weighting method; fuzzy mathematics; Quadratic programming; Interactive approach; COVID-19.