Multiple-attribute group decision making for interval-valued intuitionistic fuzzy sets based on expert reliability and the evidential reasoning rule

This study proposes a novel fuzzy multiple-attribute group decision-making approach based on expert reliability and the evidential reasoning (ER) rule in an interval-valued intuitionistic fuzzy environment. First, to determine the reliabilities of experts, an objective method is developed by combining the similarity between the assessments provided before and after group discussion. Second, the proposed approach extends the ER rule to the case where belief degrees are intervals and employs it to combine experts' assessments. Hereinto, several optimization models are established to produce the aggregated assessments of the alternatives. Then, the overall priority degree of each alternative can be obtained according to the aggregated assessments and further utilized to yield a ranking of alternatives. Finally, a shopping center site selection problem is analyzed by the proposed approach to demonstrate its validity and applicability.