Principal Component Analysis and Factor Analysis for an Atanassov IF Data Set

The present contribution is devoted to the theory of fuzzy sets, especially Atanassov Intuitionistic Fuzzy sets (IF sets) and their use in practice. We define correlation between IF coefficient, we bring a new perspective solving problem data file reduction case where input come from sets. specific applications two best-known methods, Principal Component Analysis Factor Analysis, used solve reducing size file. examine three perspectives: through membership function, non-membership function hesitation margin. This examination better reflects character also captures preserves information that carries. In article, example practice show behavior these methods on solved using R programming language, which useful for statistical analysis graphical representation.