*Article* **A Novel Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets and Its Applications**

#### **Minxia Luo** *∗* **and Jingjing Liang**

Department of Information and Computing Science, China Jiliang University, Hangzhou 310018, China; s1608070103@cjlu.edu.cn

**\*** Correspondence: mxluo@cjlu.edu.cn; Tel.: +86-571-8687-5634

Received: 29 August 2018; Accepted: 25 September 2018; Published: 27 September 2018

**Abstract:** In this paper, a novel similarity measure for interval-valued intuitionistic fuzzy sets is introduced, which is based on the transformed interval-valued intuitionistic triangle fuzzy numbers. Its superiority is shown by comparing the proposed similarity measure with some existing similarity measures by some numerical examples. Furthermore, the proposed similarity measure is applied to deal with pattern recognition and medical diagnosis problems.

**Keywords:** interval-valued intuitionistic fuzzy set; similarity measure; pattern recognition
