Correlation coefficients of single-valued neutrosophic refined soft sets and their applications in clustering analysis

Neutrosophic set theory based on neutrosophy, which is a branch of philosophy, is an important tool for dealing with uncertainty and inconsistency data. Concept of single-valued neutrosophic set is defined as a generalization of the concept of single-valued neutrosophic set, which is useful to model some engineering applications. In this study, the concept of single-valued neutrosophic refined soft set is defined as an extension of single-valued neutrosophic refined set. Also, set theoretical operations between two single-valued neutrosophic refined soft sets are defined and some basic properties of these operations are investigated. Furthermore, two methods to calculate correlation coefficient between two single-valued neutrosophic refined soft sets are proposed, and a clustering analysis application of one of proposed methods is given.