CONVEXITY WITH SOFT APPROXIMATE FUNCTION UNDER FUZZY SOFT EXPERT SET ENVIRONMENT

Soft set theory is considered the best tool to deal with problems involving uncertainties by controlling all the complexities of optimization theory, fuzzy set theory, and probability theory. By utilising this theory, the majority of soft set-like models have been developed to address issues in decision-making and medical diagnosis with a single expert. This is a challenge for researchers who employ questionnaires. This issue is solved by soft expert sets, which enable the decision-maker to access the opinions of all experts in a single model. In this study, some types of convexity, like strictly (strongly) convexity, (λ,ψ)-convexity with different senses over fuzzy soft expert set, have been described with the numerical examples. Convex hull and convex cone on fuzzy soft expert set have been developed, and some important results have been proved by applying the algebraic approach