The p-distance of uncertain variables

Article type: Research Article

Authors: You, Cuilian^* | Yan, Lijuan

Affiliations: College of Mathematics and Information Science, Hebei University, Baoding, China

Correspondence: [*] Corresponding author. Cuilian You, College of Mathematics and Information Science, Hebei University, Baoding 071002, China. Tel.: +8615933955927; Fax: +8603123168912; E-mail: [email protected].

Abstract: In order to research the properties of distance for uncertain variables, we introduced a new concept of p-distance. Then the properties of nonnegativity, identification, symmetry, and triangle inequality for the p-distance of uncertain variables and uncertain vectors were obtained. In the end, we deduced the metric space which is constituted by p-distance is complete.

Keywords: Uncertain variable, uncertain vector, uncertainty theory, p-distance

DOI: 10.3233/JIFS-16959

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 999-1006, 2017