Dynamic multiple criteria group decision-making method based on intuitionistic fuzzy information

ABSTRACT

In the decision-making process, the decision information provided by decision makers over alternatives may take the form of intuitionistic fuzzy numbers and come from different periods. The weight of information on decision makers, criteria, periods is usually completely unknown. To this issue, we first utilise hesitation degree information and introduce the concept of confidence degree function to determine the decision maker’s weights. Then we aggregate individual evaluation information into group evaluation information through intuitionistic fuzzy number weighted arithmetic averaging operator. We construct a nonlinear optimisation model to gain the criterion weights and apply the aggregate operator to gain the integrated rating value of alternatives in different periods, calculating the deviations of the integrated rating values with respect to their average. Then the period weights are been obtained by using the entropy method. According to the closeness coefficient between alternatives and ideal solution to sort the alternatives and select the optimal one.

KEYWORDS:

• Dynamic multiple criteria group decision making (DMCGDM)
• intuitionistic fuzzy number
• entropy
• sensitivity analysis

Acknowledgements

This work was supported by the Natural Science Foundation of China under Grant [No. 71601059, No. 71673069].

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Natural Science Foundation of China [grant number 71601059], [grant number 71673069].

Notes on contributors

Yu Yuan

Yu Yuan was born in Heilongjiang, China. She received her Ph.D. degree in Management Science and Engineering from Harbin Institute of Technology. She is currently an associate professor in the School of Economics and Management, Harbin University of Science and Technology. Dr. Yuan’s main research interest includes multiple criteria group decision making and risk management. She has over 10 publications including Control and Decision.

Yue Yang

Yue Yang was born in Heilongjiang, China. She received her Bachelor's degree in Foreign Languages Institute from Harbin University of Science and Technology, China in 2019. She is currently pursuing her Master’s degree at the Department of Economics and Management, Harbin University of Science and Technology with Prof. Yu Yuan. Her current research is focused on multiple criteria group decision making and risk management.