Presenting COPRAS Multi-Criteria Group Decision Making Method Using Interval and Punctual Type 2 Fuzzy Sets

Provide a way to consider the validity of the opinions of each expert in the COPRAS multi-criteria group decision-making process using the concepts of type 2 interval and punctual fuzzy sets.

The proposed method uses general (punctual) type 2 fuzzy numbers to express the values ​​of the experts' options, as the confidence degree noted by the secondary membership degrees. The analyst uses the resulting decision matrix and calculates the overall confidence level using the criteria' alternatives scores. The proposed approach obtains a balanced weight matrix by multiplying the scores of each criterion and its weight. The model calculates the credibility of the superiority of each alternative, finds the final alternative utility, and finally selects the optimal solution.

The numerical example results show that the proposed method improves the Coopers fuzzy multi-criteria group decision problem using punctual type 2 fuzzy sets.

The use of punctual type 2 fuzzy sets to express the validity of each expert's opinion from the researcher's point of view, in addition to flexibility, also increases the quality of the response.