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

Abstract

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 coe cient plays an important role during the decision-making process, in this paper,after pointing out the weakness of the existing correlation coe cients between the IFSs, we propose a novelcorrelation coe cient and weighted correlation coe cients formulation to measure the relative strength of thedi erent 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 coe cient measures have been de ned. Pairs of identity, discrepancy andcontrary of the connection number have been taken as a vector representation during the formulation. Lastly,a decision-making approach based on the proposed measures has been presented which has been illustratedby two numerical examples in pattern recognition and medical diagnosis.