A Markov chain approximation to multi-stage interactive group decision-making method based on interval fuzzy number

Aiming at the multi-stage group decision-making problem that each decision-maker makes decision with interval fuzzy number, this paper proposed a Markov chain approximation to multi-stage interactive group decision-making method. First, the development of a multi-stage interactive group decision-making process is based on some assumptions. Based on these assumptions, we define the group alternative conflict degree and determine the conflict degree threshold using numerical simulation. Then, we can obtain the stopping time of the multi-stage interactive process. Second, a Markov chain approximation is proposed to rank the alternatives without calculating the weights of the decision-making group, which is an original perspective in group decision-making field. Finally, a numerical analysis is given to illustrate the effectiveness of the method proposed.