A new approach to Hellwig’s method of data reduction for Atanassov’s intuitionistic fuzzy sets

Abstract

We propose a new approach to Hellwig’s method for the reduction of dimensionality of a data set using Atanassov’s intuitionistic fuzzy sets (A-IFSs). We are mainly concerned with the dimension reduction for sets of data represented as the A-IFSs, and provide an illustrative example results which are compared with the results obtained by using the PCA (Principal Component Analysis) method. Remarks on comparisons with some other methods are also mentioned.