Abstract:As the number of participants involves in decisions getting complex and the heterogeneity could be produced among decision makers, a large-scale group decision making (LGDM) method with consensus constructing need to be considered. In order to demonstrate the complex relationship and reduce heterogeneity among decision makers, a consensus process of LGDM is proposed in this paper, in which multi-granular probabilistic fuzzy linguistic preference relations (MGPFLPRs) are used to represent subgroup's preferences… Show more
“…I N GROUP decision making (GDM), a group of decision makers (DMs) works together to analyze problems, evaluate alternatives, and choose an agreed solution from a collection of alternatives [1]- [7]. Large-scale GDM (LSGDM) is a special type of GDM problem, in which a large number of DMs participate in the decision-making process [8]- [13]. Usually, when the number of DMs exceeds 11, the GDM process is considered as an LSGDM [14].…”
As the number of people involved in a decisionmaking problem increases, the complexity of the group decision-making (GDM) process increases accordingly. The size of participants and the heterogeneous information have important effects on the consensus reaching process in GDM. To deal with these two issues, traditional methods divide large groups into smaller ones to reduce the scale of GDM and translate heterogeneous information into a uniform format to handle the heterogeneity problem. These methods face two challenges: 1) how to determine the appropriate group size? and 2) how to avoid or reduce loss of information during the transformation process? To address these two challenges, this article uses fuzzy cluster analysis to integrate heterogeneous information for large-scale GDM problems. First, a large group is divided into smaller ones using fuzzy cluster analysis and the F-statistic is applied to determine the satisfactory number of clusters. The original information is retained based on the similarity degree. Then, a consensus reaching process is conducted within these small groups to form a unified opinion. A feedback mechanism is developed to adjust the small GDM matrix when any group cannot reach a consensus, and the heterogeneous technique for order preference by similarity to an ideal solution (TOPSIS) is used to select the best alternative. To validate the proposed approach, an experiment study is conducted using a practical example of selecting the best rescue plan in an emergency situation. The result shows that the proposed approach helps to choose the best rescue plan faster.
“…I N GROUP decision making (GDM), a group of decision makers (DMs) works together to analyze problems, evaluate alternatives, and choose an agreed solution from a collection of alternatives [1]- [7]. Large-scale GDM (LSGDM) is a special type of GDM problem, in which a large number of DMs participate in the decision-making process [8]- [13]. Usually, when the number of DMs exceeds 11, the GDM process is considered as an LSGDM [14].…”
As the number of people involved in a decisionmaking problem increases, the complexity of the group decision-making (GDM) process increases accordingly. The size of participants and the heterogeneous information have important effects on the consensus reaching process in GDM. To deal with these two issues, traditional methods divide large groups into smaller ones to reduce the scale of GDM and translate heterogeneous information into a uniform format to handle the heterogeneity problem. These methods face two challenges: 1) how to determine the appropriate group size? and 2) how to avoid or reduce loss of information during the transformation process? To address these two challenges, this article uses fuzzy cluster analysis to integrate heterogeneous information for large-scale GDM problems. First, a large group is divided into smaller ones using fuzzy cluster analysis and the F-statistic is applied to determine the satisfactory number of clusters. The original information is retained based on the similarity degree. Then, a consensus reaching process is conducted within these small groups to form a unified opinion. A feedback mechanism is developed to adjust the small GDM matrix when any group cannot reach a consensus, and the heterogeneous technique for order preference by similarity to an ideal solution (TOPSIS) is used to select the best alternative. To validate the proposed approach, an experiment study is conducted using a practical example of selecting the best rescue plan in an emergency situation. The result shows that the proposed approach helps to choose the best rescue plan faster.
“…(2) Compared with the related CRP method [28] Song and Li [28] proposed an automatic iteration-based CRP method with MG-PLPRs. Then the CRP method is applied to the above case and the ranking of alternatives is derived as…”
Section: Comparative Analysismentioning
confidence: 99%
“…The most relevant literature in this study is the CRP studies in LSGDM based on multi-granularity linguistic information. Song and Li [28] constructed a automatic iteration CRP with MG-PLPRs. Liu et al [29] proposed a two-stage CRP in LSGDM with MG-PLPRs, including both within-cluster and across-cluster CRP.…”
Civic participation is of great significance to urban management decision-making. In order to facilitate citizens to participate in city management decision-making, this paper proposes a large-scale group decision-making (LSGDM) method based on multi-granular probabilistic linguistic preference relations (MG-PLPRs). First, each decision maker selects a language terms set from the multi-granularity language terms set to represent individual preference relations and the MG-PLPRs are obtained by statistical calculation to represent sub-group’s preferences information. Then, an optimization model based on the expected consistency of PLPR and consensus measure of groups is established to achieving consensus reaching processes, which can ensure satisfactory individual consistency and group consensus. Finally, the validity and applicability of the proposed method is verified by a case of a city "shared garden" site selection with the participation of citizens.
“…In addition, there are a few research studies that focused on EDM on the situation of the large group in recent years. Song and Li [34] proposed a consensus process of the large group EDM by using multigranular probabilistic fuzzy linguistic preference relations (MGPFLPRs) to represent subgroup's preferences information. Xu et al [35] presented a framework for the LGEDM problem in a linguistic environment by considering decision makers' risk appetites.…”
After an unconventional emergency event occurs, a reasonable and effective emergency decision should be made within a short time period. In the emergency decision making process, decision makers’ opinions are often uncertain and imprecise, and determining the optimal solution to respond to an emergency event is a complex group decision making problem. In this study, a novel large group emergency decision making method, called the linguistic Z-QUALIFLEX method, is developed by extending the QUALIFLEX method using linguistic Z-numbers. The evaluations of decision makers on the alternative solutions are first expressed as linguistic Z-numbers, and the group decision matrix is then constructed by aggregating the evaluations of all subgroups. The QUALIFLEX method is used to rank the alternative solutions for the unconventional emergency event. Besides, a real-life example of emergency decision making is presented, and a comparison with existing methods is performed to validate the effectiveness and practicability of the proposed method. The results show that the proposed linguistic Z-QUALIFLEX can accurately express the evaluations of the decision makers and obtain a more reasonable ranking result of solutions for emergency decision making.
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