Dynamic ranking of multi-dimensional uncertain information based on fuzzy order on the fuzzy ellipsoid number space

Article type: Research Article

Authors: Wang, Guixiang^{; *} | Wang, Xiaolian | Qin, Sen | Zhang, Guojing

Affiliations: Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, 310018, China

Correspondence: [*] Corresponding author. Guixiang Wang, Hangzhou Dianzi University, E-mail: g.x.wang@hdu.edu.cn.

Abstract: In this paper, the problem of ranking multi-dimensional uncertain information based on fuzzy order is studied. At first, a specific fuzzy order on the fuzzy ellipsoid number space is defined, with which we can set up a dynamic ranking method which changes with the change of the level r for some objects which can be characterized by some multichannel uncertain digital information. Then its properties are investigated, some related results are obtained. And then, we give a practical example to show how to set up a dynamic ranking method which changes with the change of the level r for some objects which can be characterized by some multichannel uncertain digital information by using the fuzzy order proposed by us in the paper.

Keywords: Fuzzy number, fuzzy ellipsoid numbers, order, fuzzy order, ranking multi-dimensional uncertain information

DOI: 10.3233/JIFS-18357

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6555-6566, 2019