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Group decision making using bilateral agreement matrix

机译：使用双边协议矩阵进行组决策

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Group decision making based on a bilateral agreement matrix is investigated in this paper. To derive a group decision from the opinions of individual decision makers, pairs of decision makers are allowed to negotiate with one another and provide their bilateral negotiation values. Two algorithms are provided to help pairs of decision makers reach bilateral agreements, which enables the construction of the bilateral agreement matrix. The definition of a consistent bilateral agreement matrix is introduced to measure the credibility of the final result and its properties are investigated, based on which a method is provided to construct a consistent bilateral agreement matrix from an inconsistent one. Models are then given to derive the weight vector from the bilateral agreement matrix, based on which a consistency index of the matrix is defined. Two algorithms are then given to improve the level of consistency of the bilateral agreement matrix. The final group decision is obtained by aggregating individual opinions using the weight vector. The proposed methods are further extended to deal with the problem of incomplete bilateral agreement matrices. Several examples are also given to illustrate the proposed approach. (C) 2019 Published by Elsevier B.V.
机译：本文研究了基于双边协议矩阵的小组决策。为了从个人决策者的意见中获取团体决定，允许对决策者彼此进行谈判，并提供双边谈判值。提供了两种算法，以帮助一对决策者达到双边协议，这使得双边协议矩阵建设。介绍了一致的双边协议矩阵的定义，以衡量最终结果的可信度，并根据该方法进行了调查的性质，以便提供一种方法来构建一致的双边协议矩阵，从不一致的方法构建一致的双边协议矩阵。然后给出模型以导出来自双边协议矩阵的权重向量，基于该矩阵的定义矩阵的一致性索引。然后给出两种算法以改善双边协议矩阵的一致性水平。通过使用体重载体聚集各个观点来获得最终组决定。拟议的方法进一步扩展到应对双边协议矩阵不完整的问题。还给出了几个例子来说明所提出的方法。 （c）2019年由elestvier b.v发布。

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