A weak order in special type fuzzy ellipsoid number space and its application in ranking uncertain multi-channel information

Abstract

In this paper, a binary relation on fuzzy ellipsoid number space is defined. Its properties are investigated and shown to be a weak order on the space. Then, specific calculation formulas of the weak order are obtained for some specific fuzzy ellipsoid number spaces. A practical example is given to demonstrate the application of the weak order in ranking uncertain or imprecise multidimensional digital information.