Ranking Type-2 Intuitionistic Fuzzy Sets Based on Dice Similarity Measures

Ranking fuzzy numbers is an important part of decision-making in a fuzzy domain. Similarity measures are one of the widely used methods for sorting fuzzy numbers. In this paper, a Dice similarity measure is proposed for type-2 intuitionistic fuzzy sets (T2IFSs) and the properties of similarity measure are verified. The ranking in the proposed method is accomplished by comparing the given set to the best possible set under consideration. The proposed measure is tested on a wide range of T2IFSs and the results are analyzed with existing ranking methods. The comparison shows that the proposed method outperforms some of the shortcomings of existing ranking techniques and is thus effective in ranking.