Abstract
Correlation is a statistical measure that expresses the extent to which two variables are linearly related. It is a common tool for describing simple relationships without making a statement about cause and effect. Correlations are useful for describing relationships among data. In this paper, we apply the correlation coefficient to pentapartitioned neutrosophic Pythagorean sets (PNPSs). Also, we have introduced the new concept of interval-valued pentapartitioned neutrosophic Pythagorean set (IVPNPS), and some of its basic operations are also investigated. Also, the correlation measure of IVPNPS is proposed, and some of its properties are discussed. The concept of this correlation measure of PNPS is the extension of correlation measures of Pythagorean fuzzy set and pentapartitioned neutrosophic set. Then, using the correlation of PNP and IVPNP set measure, the application of COVID injection is given.
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