Weighted Similarity Measure of Intuitionistic Fuzzy Sets Based on Transformed Right-angled Triangles

The intuitionistic fuzzy set is a generalization of fuzzy set which can solve uncertainty much better. We can use similarity measure to know similarity degree between the information carried by intuitionistic fuzzy sets. This paper aims to present a new similarity measure between intuitionistic fuzzy sets based on transformations technique. In this paper, firstly we propose a weighted similarity measure between intuitionistic fuzzy sets which based on transformations intuitionistic fuzzy sets into the right-angled. By adding weight to a similarity measure is useful when we have some criteria that are more important than others in determining similarity. Finally, the proposed similarity measure is applied to medical diagnosis problems to demonstrate the usefulness of this study.