A Consensus Reaching Process with Minimum Adjustment in Group Decision Making with Two-dimensional 2-tuple Linguistic Information based on Reliability Measurement

This paper designs a consensus reaching process (CRP) with minimum adjustment considering that decision makers (DMs) have a tolerance for changing their preferences, which means DMs only accept the adjustment if such adjustment fall within their tolerance interval. In addition, two consensus rules are considered: minimum distance between original and adjusted preferences, and minimum number of adjusted preferences. Unlike to classical CRP, our proposal includes a reliability detection of adjusted preferences, in order to avoid biased solutions because of the inherent subjectivity of group decision-making problems. To obtain the agreed adjusted opinions and their reliability, the two-dimensional 2-tuple linguistic (TD2L) information is used in which, the first dimension of a TD2L is 2-tuple linguistic value that assess the adjusted preference and, the second dimension information is another 2-tuple linguistic value assessing the reliability degree of the adjusted preferences, which is derived according to similarity between adjusted and original preferences. Then a novel comparison method for TD2Ls is developed. Finally, an illustrative example is given to verify the proposed method and the results show that the approach is feasible and effective.