Abstract:

The algorithm of interval grey numbers is the theoretical basis of a grey system theory. It has very important significance in developing the grey system theory. A definition of “Kernel” is given first. Algorithm axioms, algorithm rules of interval grey numbers and new algebraic systems are built based on the “Kernel” and the degree of greyness of grey numbers. And the properties of the algorithm are studied. Up to now, the algorithm of interval grey numbers are transformed to the algorithm of real numbers, so the difficult problem for algorithm of interval grey numbers is solved to a certain degree. The algorithm of interval grey numbers is extended to the grey algebraic equation, grey differential equation and grey matrix algorithm including interval grey numbers. The algorithm system of interval grey numbers is helpful for research on grey inputoutput and grey programming.