An Interactive Consensus Model for Group Decision-Making with Incomplete Multi-Granular 2-Tuple Fuzzy Linguistic Preference Relations

Algorithm 1

Input: Individual FLPRs , the experts’ weight vector , the

thresholds and the maximum iterations .

Output: Adjusted FLPRs , , and the

iterations .

Step 1: Set and .

Step 2: Obtain individual priority weight vector using the model (13) and

then get the experts’ weight vector according to Eq. (18).

Step 3: Compute the collective priority weight vector corresponding to

by means of IOWA operator.

Step 4: Count the according to Eq. (19). If

or , go to Step 6; Or else, find the FLPR that satisfies

and proceed to Step 5.

Step 5: Ascertain the position of the elements for expert satisfying

, where , and then adjust expert ’s FLPR

according to Eq. (20).

Set and go to Step 2.

Step 6: Let and . Output ,

, and the iterations .