Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology

• We propose a new intuitionistic fuzzy multiattribute group decision making method.
• The intuitionistic fuzzy sets and evidential reasoning methodology are used.
• It gets the aggregated intuitionistic fuzzy value of each alternative.
• It calculates the transformed value of each alternative.
• It provides us with a useful way for intuitionistic fuzzy multiattribute group decision making.

In this paper, we propose a new fuzzy multiattribute group decision making method based on intuitionistic fuzzy sets and the evidential reasoning methodology. First, the proposed method uses the evidential reasoning methodology to aggregate each decision maker’s decision matrix and the weights of the attributes to get the aggregated decision matrix of each decision maker. Then, it uses the obtained aggregated decision matrices of the experts, the weights of the experts and the evidential reasoning methodology to get the aggregated intuitionistic fuzzy value of each alternative. Finally, it calculates the transformed value of the obtained intuitionistic fuzzy value of each alternative. The smaller the transformed value, the better the preference order of the alternative. The proposed method can overcome the drawbacks of the existing methods for fuzzy multiattribute group decision making in intuitionistic fuzzy environments.