Constructing and solving the whitenization weight function with interval grey number

Abstract

Aiming at the situation that the turn point of the whitenization weight function must be real number, this paper constructed and solved the whitenization function when the turn point is an interval grey number. Firstly, this paper delimited the standardized methods of the interval grey number. Then using the standardized interval grey number replace the real number of the whitenization function. And the expression of the whitenization function with interval grey number is given. Secondly, discussing the two circumstances that only one interval grey number is in the piecewise curve of the whitening weight function or both two endpoints are interval grey numbers. And when the four turn points are all interval grey numbers, the expression of whitenization function is given. At last, an example is given to illustrate the validity and the feasibility of this algorithm.