Purpose

The paper attempts to construct a novel multi-objective grey hierarchical group consensus approach to deal with the group consensus problems consisting of hierarchical relationship and non-cooperative behaviors among decision makers (DMs).

Design/methodology/approach

To deal with these group consensus problems consisting of hierarchical relationship and non-cooperative behaviors among DMs non-cooperative behavior in uncertain information systems, considering the influence of coordination cost and the degree of group consensus, based on the idea of grey situation decision-making, the authors establish a multi-objective grey hierarchical group consensus model, and design different invalid decision elimination rules for decision-making groups of different sizes, and use a case verifies the effectiveness and feasibility of the model.

Findings

With the continuous improvement of the coordination cost budget, the degree of consensus of all departments and the overall consensus tend to be stable, and will no longer change with the increase of the coordination cost budget. The cost required by each department is basically consistent with the response trend of the cost required to coordinate the overall situation to the pre-set lower limit of group consensus.

Originality/value

The proposed approach can succeed in identifying DMs' information, and mine the DMs' information and help make a relatively more scientific decision.

中文翻译：

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多目标灰色层次群体共识模型及其应用

目的

本文试图构建一种新颖的多目标灰色层次群体共识方法来处理由决策者（DM）之间的层次关系和非合作行为组成的群体共识问题。

设计/方法论/途径

针对不确定信息系统中由层级关系和决策者间非合作行为组成的群体共识问题，考虑协调成本和群体共识程度的影响，基于灰色情境决策思想文章建立了多目标灰色层次群体共识模型，针对不同规模的决策群体设计了不同的无效决策剔除规则，并用案例验证了模型的有效性和可行性。

发现

随着协调成本预算的不断完善，各部门的共识程度和整体共识趋于稳定，不再随着协调成本预算的增加而变化。各部门所需成本与协调全局至团体共识预设下限所需成本的响应趋势基本一致。

原创性/价值

所提出的方法能够成功地识别DM的信息，并挖掘DM的信息并帮助做出相对更科学的决策。