Abstract

The social network has emerged as an essential component in group decision making (GDM) problems. Thus, this paper investigates the social network GDM (SNGDM) problem and assumes that decision makers offer their preferences utilizing additive preference relations (also called fuzzy preference relations). An optimization-based approach is devised to generate the weights of decision makers by combining two reliable resources: in-degree centrality indexes and consistency indexes. Based on the obtained weights of decision makers, the individual additive preference relations are aggregated into a collective additive preference relation. Further, the alternatives are ranked from best to worst according to the obtained collective additive preference relation. Moreover, earthquakes have occurred frequently around the world in recent years, causing great loss of life and property. Earthquake shelters offer safety, security, climate protection, and resistance to disease and ill health and are thus vital for disaster-affected people. Selection of a suitable site for locating shelters from potential alternatives is of critical importance, which can be seen as a GDM problem. When selecting a suitable earthquake shelter-site, the social trust relationships among disaster management experts should not be ignored. To this end, the proposed SNGDM model is applied to evaluate and select earthquake shelter-sites to show its effectiveness. In summary, this paper constructs a novel GDM framework by taking the social trust relationship into account, which can provide a scientific basis for public emergency management in the major disasters field.

Highlights

  • There are many group decision making (GDM) problems in practice, and a large number of GDM approaches have been reported in the literature [1,2,3,4,5,6,7,8,9]

  • This paper investigates the social network GDM (SNGDM) problem, which aims to help decision makers choose the best alternative or rank alternatives from best to worst

  • In the novel SNGDM framework, the weights of decision makers are determined based on two reliable resources: in-degree centrality indexes derived from the social network and the consistency indexes of preference relations

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Summary

Introduction

There are many group decision making (GDM) problems in practice, and a large number of GDM approaches have been reported in the literature [1,2,3,4,5,6,7,8,9]. Investigated SNGDM with linguistic trustworthiness-based induced ordered weighted averaging (OWA) operators In these SNGDM works, the social network is the only source to generate weights of decision makers. In the novel SNGDM framework, the weights of decision makers are determined based on two reliable resources: in-degree centrality indexes derived from the social network and the consistency indexes of preference relations. An optimization-based model is devised to obtain the weighting coefficient of in-degree centrality indexes and consistency indexes, which seeks to maximize the consensus level among the decision makers. This paper constructs a novel SNGDM framework by considering the social trust relationship among decision makers, which is of great significance in helping disaster management experts effectively evaluate and select emergency shelter-sites and constructs a scientific basis for public health emergency management in the major disasters field. We list some of the largest earthquakes in the world in recent years (see Table 1)

17 June 2019
Social
Different representation social network
A sociometric
Additive
The matrixfunctions
Thepreference matrix F relation
The Presentation of the SNGDM Problem
Resolution Framework for SNGDM Problems
Case Study
Comparative Analysis
Discussion
Conclusions
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