Analysis On Compatibility Of Interval Linguistic Information In Group Decision Making

Group decision making is a significant activity that preference relations of every expertin a group is aggregated to the synthesize preference relations based on certain rules,according to the synthesize preference relations, we sort a set of alternatives effectively andchose the optimal alternative. It should be pointed out that the irregular level and thepreference great difference which is given by experts will directly influence on theaggregation of experts’ preference relations and selection of the optimal alternative in theprocess of group decision making. Therefore, how to solve conflicts of experts’ preferencerelations effectively, aggregation of every experts’ preference relation to reflect thesynthesize preference relations and assessment levels of each expert (assessment levels ofexperts in group decision making) is also a hot issue of group decision making.In this thesis, we present a method through analyzing the compatibility and establish anoptimization model to derive experts’ weights and propose an aggregation method for groupdecision making to acquire the optimal alternative.Firstly, the background, current status and research significance of group decisionmaking, the assessment expert’s level and compatibility of interval linguistic preferencerelations are introduced. Then, we propose some new concepts of compatibility andcompatibility index of interval linguistic judgment matrix, and discuss the relationshipbetween consistency and compatibility. According to experts’ preference relations, westructure a group of completely consistent interval linguistic judgment matrixes, andaggregate these matrixes to an ideal matrix which is a consistent interval linguistic judgmentmatrix. Besides, with the assessment level of experts based on interval linguistic preferencerelations for group decision making, the compatibility index between each matrix given b yexperts and the ideal matrix is calculated to rank the assessment level of experts. Anumerical example is shown and it proves that these methods are feasibility, validity andconsistency. In next chapter we establish an optimization model based on compatibility,derive experts’ weights and propose an aggregation method for group decision making toacquire the optimal alternative. We give an example to manifest the reasonability andeffectiveness of the method. Finally, concluding remarks are made, and it points out the advantages and disadvantages of these method based on interval linguistic preferencerelations are proposed and further research is given.