A Large-Scale Group Decision-Making Consensus Model considering the Experts’ Adjustment Willingness Based on the Interactive Weights’ Determination

Algorithm 4

The modified method for the DM em in the subgroup Gk.

	Input: the values of , , , and .
	Output: the adjustment values of , and .
	Step 1. Obtain the evaluation values to be modified of em for the attribute fn of the alternative xp. Hence, the difference matrix P × N is defined as:
	Step 2. If  = 0, it means that the evaluation values is same as the subgroup Gk’s opinion, and the em’s evaluation value for the attribute fn of the alternative xp does not need to be modified. Then, turn to the Step 5; otherwise, go to the next step.
	Step 3. is denoted as the modified value. Considering both the subgroup Gk’s opinion and the DM ems allowed modification range, the modification calculation is given as follows.
(a)	If  > 0, it means that the evaluation values is higher than the subgroup Gk’s opinion. The evaluation values therefore should be reduced appropriately. Then,
(b)	< 0, it means that the evaluation values is lower than the subgroup Gk’s opinion. The evaluation values therefore should be increased to a certain extent. Thus,
	Step 4. Repeat Step 3 until the values cannot be modified.
	Step 5. End. Let is equal to , and calculate the value of by equation (1). Output and .