Pawel Bujnowski

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This paper is a continuation and extension of our previous works on a correlation coefficient of Atanassov’s intuitionistic fuzzy sets (A-IFSs). The correlation coefficient, an extension of Pearson’s r which is one of the most frequently used tools in statistics, we have proposed provides the strength of the relationship between the A-IFSs and also shows if(More)
In this paper we address the problem of how to measure information conveyed by an Atanassov's intuitionistic fuzzy set (A-IFS for short) and a related concept of knowledge that is explicitly context oriented and useful from the point of view of a specific purpose, notably related to decision making. We pay particular attention to the relationship between(More)
We present a novel approach to principal component analysis (PCA) for data expressed in terms of Atanassov's intuitionistic fuzzy sets (A-IFSs), i.e. using the degree of membership, non-membership and hesitation margin which was shown in our works to be a prerequisite for a meaningful analysis of A-IFS type data and information. This new approach to PCA for(More)