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.
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2.
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3.
GaoX., GaoY. and RalescuD., On Liu’s inference rule for uncertain systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems18(1) (2010), 1–11.
