Generalized Euclid Measures Based on Generalized Set Valued Neutrosophic Quadruple Numbers and Multi Criteria Decision Making Applications

Abstract

In this article, we define firstly generalized Euclid distance measure and generalized Euclid similarity measure based on generalized set valued neutrosophic quadruple numbers. Also, we show that generalized Euclid distance measure and generalized Euclid similarity measure satisfy the distance measure conditions and similarity measure conditions, respectively. Furthermore, we define a score function for generalized Euclid similarity measure. In addition, we generalize an algorithm, for single valued neutrosophic set, based on generalized Euclid similarity measure and generalized set valued neutrosophic quadruple numbers. Also, we give a multi criteria decision making applications for this generalized algorithm. This application based on patients, diseases, drugs and this application is different from previous applications because of generalized Euclid similarity measure and generalized set valued neutrosophic quadruple numbers. Furthermore, this application has different result according to some previous similarity measure. Thus, this application can used for covid-19 treatment due to structure of generalized Euclid similarity measure and generalized set valued neutrosophic quadruple numbers

Keywords

• distance measure
• similarity measure
• euclid measures
• generalized set valued neutrosophic quadruple numbers
• generalized euclid distance measure
• generalized euclid similarity measure