A novel similarity measure between Atanassovs intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition
In this paper, we propose a new similarity measure between Atanassovs intuitionistic fuzzy sets (AIFSs) based on transformation techniques and apply the proposed similarity measure between AIFSs to deal with pattern recognition problems. First, we present a new similarity measure between Atanassovs intuitionistic fuzzy values (AIFVs) and prove some properties of the proposed similarity measure between AIFVs. Then, based on the proposed similarity measure between AIFVs, we propose a new similarity measure between AIFSs and prove some properties of the proposed similarity measure between AIFSs. Then, we use some examples to illustrate that the proposed similarity measure between AIFSs can overcome the drawbacks of the existing similarity measures. Finally, we apply the proposed similarity measure between AIFSs to deal with pattern recognition problems. The proposed similarity measure outperforms the existing similarity measures between AIFSs for dealing with the pattern recognition problems.
similarity measure atanassovs intuitionistic fuzzy set atanassovs intuitionistic fuzzy value fuzzy number