Ranking Alternatives Expressed via Atanassovís Intuitionistic Fuzzy Sets

Eulalia Szmidt and Janusz Kacprzyk

We propose a new method of ranking alternatives represented by Atanassovís intuitionistic fuzzy sets, to be called A-IFSs, for short. First, we discuss an approach based on the calculation of the distances from the ideal positive alternative which can be viewed as a counterpart of the approach in the traditional fuzzy setting. Next, we propose a new method which takes into account not only the amount of information related to an alternative (expressed by a distance from an ideal positive alternative) but also the reliability of information represented by an alternative meant as how sure the information is.

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