Affiliations: [a] College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, China
| [b] School of Electrical and Mechanical Engineering, The University of Adelaide, Adelaide, Australia
| [c] School of Information Science and Technology, Fujiang University of Technology, Fuzhou, China
Correspondence:
[*]
Corresponding author. Tengfei Wang, College of Automation, Harbin Engineering University, Harbin, 150001, China. E-mail: [email protected].
Abstract: In this paper, the problems of expressing and fusing multi-channel uncertain digital information is studied. The concept of a special high-dimensional fuzzy number called multi-level linear fuzzy ellipsoid number is given, and a method of constructing such high dimensional fuzzy number to express multi-channel uncertain digital information is established. Then a calculation formula of the centroid of multistage linear fuzzy ellipsoid number is deduced. And then, as an application example of multi-channel uncertain digital information fusion, a specific example is given to show ranking some objects which are characterized by multi-channel uncertain digital information by using the obtained results and the concept of fuzzy order on high dimensional fuzzy number space.
Keywords: Fuzzy numbers, fuzzy ellipsoid numbers, multistage linear fuzzy ellipsoid number, constructing fuzzy numbers, expressing multi-channel uncertain digital information, multi-channel uncertain digital information fusion
