Correlation Measure for Pythagorean Neutrosophic Sets with T and F as Dependent Neutrosophic Components

Abstract

In this paper, we study the new concept of Pythagorean neutrosophic set with T and F as dependent neutrosophic components [PNS]. Pythagorean neutrosophic set with T and F as dependent neutrosophic components [PNS] is introduced as a generalization of neutrosophic set (In neutrosophic sets, there are three special cases, here we take one of the special cases. That is, membership and non-membership degrees are dependent components and indeterminacy is independent) and Pythagorean fuzzy set. In PNS sets, membership, non-membership and indeterminacy degrees are gratifying the condition 0 ≤ (ð‘¢ð´(ð‘¥))2+ (ðœ ð‘¥))2+ (ð‘£ð´(ð‘¥))2≤ 2 instead of ð‘¢ð´(ð‘¥)+ðœ ð‘¥)+ð‘£ð´(ð‘¥) > 2 as in neutrosophic sets. We investigate the basic operations of PNS sets. Also, the correlation measure of PNS set is proposed and proves some of their basic properties. The concept of this correlation measures of PNS set is the extension of correlation measures of Pythagorean fuzzy set and neutrosophic set. Then, using correlation of PNS set measure, the application of medical diagnosis is given.