A new approach for ranking of interval type-2 trapezoidal fuzzy numbers

Article type: Research Article

Authors: Gong, Yanbing^* | Yang, Shuxin | Dai, Liangliang | Hu, Na

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

Correspondence: [*] Corresponding author. Yanbing Gong, School of Enterprise Management, Hohai University, Changzhou, Jiangsu 213022, P.R. China. Tel.: +86 51981230713; Fax: +86 5198519; E-mail: yanbg79@163.com.

Abstract: Interval type-2 fuzzy sets (IT2 FSs) provide us with additional degrees of freedom to represent the uncertainty and the fuzziness of the real word than traditional type-1 fuzzy sets (T1 FSs). In many applications, ranking of interval type-2 fuzzy numbers is an important component in the decision process. In this paper, the concepts of magnitude mean value and variance of interval type-2 trapezoidal fuzzy numbers (IT2 TrFNs) are introduced and some of their properties are studied.. Then, we propose a new magnitude mean-variance possibility degree method to solve ranking of interval type-2 trapezoidal fuzzy numbers. Finally, some comparative examples are used to illustrate the advantage of the proposed method.

Keywords: Interval type-2 fuzzy numbers, magnitude mean value, magnitude variance, possibility degree

DOI: 10.3233/JIFS-161279

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1891-1902, 2017