Some new signed distances and similarity measures of interval type-2 trapezoidal fuzzy numbers and comparative study

Article type: Research Article

Authors: Gong, Yanbing^{; *} | Yang, Shuxin | Dai, Liangliang

Affiliations: Department of Information Management, Hohai University, Changzhou, China

Correspondence: [*] Corresponding author. Yanbing Gong, Department of Information Management, Hohai University, Changzhou, China. E-mail: yanbg79@163.com.

Abstract: In many applications, we need to numerically express the difference of two objects (notions) by means of distance and similarity between the corresponding interval type-2 fuzzy sets (IT2 FSs). In this paper, we propose two new signed distances between interval type-2 trapezoidal fuzzy numbers (IT2 TrFNs) and some properties of their have been introduced. We also give an approach to construct similarity measures using the signed distance for IT2 TrFNs. Several illustrative examples are given to demonstrate the practicality and effectiveness of the proposed measures.

Keywords: Interval type-2 fuzzy numbers, signed distance, similarity measure

DOI: 10.3233/JIFS-17671

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3465-3475, 2018