JZUS - Journal of Zhejiang University SCIENCE

Frontiers of Information Technology & Electronic Engineering 2016 Vol.17 No.3 P.237-249

A consensus model for group decision making under interval type-2 fuzzy environment

Author(s): Xiao-xiong Zhang, Bing-feng Ge, Yue-jin Tan
Affiliation(s): College of Information System and Management, National University of Defense Technology, Changsha 410073, China
Corresponding email(s): zxxandxx@163.com
Key Words: Group decision making (GDM), Interval type-2 fuzzy sets (IT2 FSs), Feedback mechanism

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Abstract: We propose a new consensus model for group decision making (GDM) problems, using an interval type-2 fuzzy environment. In our model, experts are asked to express their preferences using linguistic terms characterized by interval type-2 fuzzy sets (IT2 FSs), because these can provide decision makers with greater freedom to express the vagueness in real-life situations. Consensus and proximity measures based on the arithmetic operations of IT2 FSs are used simultaneously to guide the decision-making process. The majority of previous studies have taken into account only the importance of the experts in the aggregation process, which may give unreasonable results. Thus, we propose a new feedback mechanism that generates different advice strategies for experts according to their levels of importance. In general, experts with a lower level of importance require a larger number of suggestions to change their initial preferences. Finally, we investigate a numerical example and execute comparable models and ours, to demonstrate the performance of our proposed model. The results indicate that the proposed model provides greater insight into the GDM process.

一种应用于区间2型模糊数环境下的群决策共识模型

目的：针对区间2型模糊数环境下的群决策问题，提出一种新的共识模型，同时针对决策者权重不一致情形，提出一种新的反馈机制。
创新点：提出了一种用于处理区间2型模糊数环境下的群决策问题的共识模型，充分发挥了2型模糊数表示信息的灵活性和广泛性。同时，在整个决策过程中考虑专家权重的影响，根据专家不同权重制定不同的反馈意见。
方法：首先，专家结合自身经验知识，利用区间2型模糊数对问题进行评价赋值。然后，通过计算不同的一致性指标来检测当前专家们的意见是否趋于一致。若是，则转入方案选型阶段；若不是，则转入反馈机制。反馈机制主要是对不同的专家给予一定的修改意见，以指导专家对自身偏好进行调整，提高整体意见的一致性。总的来说，专家自身权值越大，则其需要调整修改的偏好值越少；反之，专家自身权值越小，则其需要调整修改的偏好值越多（图2）。
结论：针对群决策问题，提出了用于处理2型区间模糊数环境下的共识模型，计算高效，结论可信。

关键词：群决策；区间2型模糊集；反馈机制

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