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

作者：Gong, Yanbing^*; Yang, Shuxin; Dai, Liangliang; Hu, Na

来源：Journal of Intelligent and Fuzzy Systems, 2017, 32(3): 1891-1902.

DOI：10.3233/JIFS-161279

• Interval type-2 fuzzy numbers
• magnitude mean value
• magnitude variance
• possibility degree

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.

• 出版日期2017
• 单位河海大学