Grey fixed weight cluster model of interval grey numbers based on central-point triangular whitenization weight function

Abstract

Focusing on the grey cluster problem of observation values with interval grey numbers, this paper presents a new expression of the central-point triangular whitenization weight function by using interval grey numbers. Through the construction of this integral mean value function on the set of interval grey numbers, the scope of application of grey clustering model is extended to the interval grey number category, and thus the grey fixed weight cluster model based on interval grey numbers is established. Finally, the model is applied to an instance, and the results verify the validity and practicability of the model.