Large-Scale Group Consensus Decision-Making Methods with DHHFLPRs

Abstract

With the rapid development of society and the increasingly complex economic environment, management and decision-making tasks are becoming more and more difficult. Meanwhile, with the progress of science and technology and the development of network environment, the communications between people are increasingly convenient. Therefore, large-scale group decision-making (LSGDM) has become the focus of decision-making problems. Generally, a GDM problem can be called LSGDM problem when the number of experts is more than 20 (Liu and Chen 2006). Now LSGDM are very commonly encountered in actual life, especially in the era of data (Labella, 2018; Liu et al. 2014a, b, a, b, c; 2016; Palomares et al. 2014a, b; Quesada et al. 2015; Wu and Liu 2016; Wu and Xu 2018; Xu et al. 2015; Zhang 2018; Zhang et al. 2018). Basically, large-scale problems in decision making, consensus reaching, voting, social choice etc. call for the use of sophisticated computational tools, analysis of computational efficiency of algorithm, etc. This is done by the so called computational social choice (Brandt et al. 2016; Chevalayre et al. 2007). These works are mathematically and algorithmically very sophisticated. Specially, in this chapter, the concept of a large-scale group consensus decision making related problem is not meant here in the sense of computational social choice and related areas (Brandt et al. 2016; Chevalayre et al. 2007). And the purpose of this chapter is to research the large-scale group consensus reaching methods based on DHHFLPRs. Firstly, because the clustering and the consensus reaching process are two important constituent parts, we will discuss the clustering method and the consensus reaching process in LSGDM with DHHFLPRs, propose a large-scale group consensus decision-making method and apply this method to the assessments of water resources in some cities of Sichuan province. Additionally, by constructing new clustering method and consensus model, and from the perspective of in-depth analyzing minority opinions and non-cooperative behaviors in LSGDM, this chapter puts forward a novel large-scale group consensus decision-making method based on DHHFLPRs, which is more in line with human cognition, and applies this method to the comprehensive assessments of the causes of haze formation.