Grey Forecast Model with Aging Fractional Accumulation and Its Properties

Algorithm 1

Optimization algorithm of the optimal aging parameter (solution to optimize the optimal aging parameter ).

	Input: the sample set
	Output: the optimal value of
(1)	Initialize parameters in the PSO algorithm:
	Particle number N, dimension D, maximum generation T, learning factor , , inertia weight .
(2)	Initialize the position and velocity
(3)	for do
(4)	for do
(5)	Calculate by Definition 1;
(6)	Calculate by equation (10);
(7)	Compute using equation (13);
(8)	Compute the fitness function ;
(9)	Update the position and velocity of particles
	.
	where are random vectors and belong to [0, 10]; and represent the individual optimal position and the global optimal position, respectively.
(10)	end for
(11)	end for
(12)	return optimal value of