A novel correlation coefficient of intuitionistic fuzzysets based on the connection number of set pair analysis and its application

Set pair analysis (SPA) is an updated theory for dealing with the uncertainty, which overlaps the othertheories of uncertainty such as probability, vague, fuzzy and intuitionistic fuzzy set (IFS). Considering thefact that the correlation coecient plays an important role during the decisionmaking process, in this paper,after pointing out the weakness of the existing correlation coecients between the IFSs, we propose a novelcorrelation coecient and weighted correlation coecients formulation to measure the relative strength of thedierent IFSs. For it, rstly corresponding to each intuitionistic fuzzy number, the connection number of theSPA theory has been formulated in the form of the degree of identity, discrepancy and contrary and thenbased on its, a novel correlation coecient measures have been dened. Pairs of identity, discrepancy andcontrary of the connection number have been taken as a vector representation during the formulation. Lastly,a decisionmaking approach based on the proposed measures has been presented which has been illustratedby two numerical examples in pattern recognition and medical diagnosis.