Group decision-making procedure based on incomplete reciprocal relations
Group decision-making procedure based on incomplete reciprocal relations
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DOI：
10.1007/s00500-007-0223-6
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发表时间：
2008-01
期刊：
影响因子：
4.1
通讯作者：
Zeshui Xu;Jing Chen
中科院分区：
文献类型：
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作者：
Zeshui Xu;Jing Chen
Xu（Int J Approx Reason 36：261-270，2004）引入了不完全互反关系和加性一致不完全互反关系的概念。本文的目的是开发一种新的程序不完全互惠关系的群体决策。该过程利用每个给定的不完全互反关系构造一个基于加法传递性的辅助互反关系，然后直接将这些辅助互反关系聚合为一个集合辅助互反关系。在此基础上，建立了一个简单的线性方程组，用于方案排序。最后，一个数值例子来说明所开发的程序。
Xu (Int J Approx Reason 36:261–270, 2004) introduced the concepts of incomplete reciprocal relation and additive consistent incomplete reciprocal relation. The aim of this paper is to develop a novel procedure for group decision making with incomplete reciprocal relations. The procedure utilizes each given incomplete reciprocal relation to construct an auxiliary reciprocal relation based on additive transitivity, and then aggregates directly these auxiliary reciprocal relations into a collective auxiliary reciprocal relation. After that, based on the collective auxiliary reciprocal relation, a simple linear system of equations is established for ranking alternatives. Finally, a numerical example is given to illustrate the developed procedure.