A Novel Consensus Model For Group Decision-making Problems Based on Discrete Fuzzy Numbers

The linguistic computational model based on discrete fuzzy numbers has gained great interest among scholars due to its interesting properties. However, the investigations on group consensus with this linguistic model are not enough and need further exploration. For this reason, in this paper, we propose a novel consensus model based on this framework that overcomes some of the main disadvantages of the previously proposed methods in the literature. Moreover, we provide a new aggregation function on the set of discrete fuzzy numbers and we propose a semi-automatic algorithm that allows the experts to interact and modify their opinions during the consensus process. This novel method achieves a significantly greater rate of convergence in Group Decision Making problems compared with the existing algorithms.

Automated summary

The linguistic computational model based on discrete fuzzy numbers has attracted great interest among scholars due to its unique properties, however, there is a lack of research on group consensus using this model. This paper proposes a novel consensus model based on this framework, along with a new aggregation function and a semi-automatic algorithm for experts to interact and modify their opinions. This new method achieves significantly faster convergence rates in Group Decision Making compared to existing algorithms.