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展望空间上的一种格序决策方法
引用本文:郭春香,郭耀煌.展望空间上的一种格序决策方法[J].系统工程,2006,24(2):92-95.
作者姓名:郭春香  郭耀煌
作者单位:1. 西南科技大学,理学院,四川,绵阳,621000
2. 西南交通大学,经济管理学院,四川,成都,610031
摘    要:针对展望空间的偏好结构按照一定的偏好关系不具有连通性的情况,关于决策方案的比较提出了一种格序决策方法。证明了展望空间按照极大多数优于原则是一个偏序集.具有格序特征;得出了格序展望空间的上赋值和距离函数,并根据赋值和距离函数刻画出决策后果之间的偏好距离,即优劣差异程度;最后,举例加以说明。

关 键 词:格序决策  展望空间  格值  偏好关系
文章编号:1001-4098(2006)02-0092-04
收稿时间:2005-12-28
修稿时间:2005-12-28

A Method of Lattice Order Decision Making on Prospect Spaces
GUO Chun-xiang,GUO Yao-huang.A Method of Lattice Order Decision Making on Prospect Spaces[J].Systems Engineering,2006,24(2):92-95.
Authors:GUO Chun-xiang  GUO Yao-huang
Institution:1. School of Science, Southwest University of Science and Technology, Mianyang 621000,China; 2. School of Economies and Management, Southwest Jiaotong University, Chengdu 610031,China
Abstract:A lattice order decision making method about alternative's ranking is proposed, when the preference structure of prospect spaces without connected axiom according to some preference relation.It is proved that the prospect spaces are a poset,and with lattice order characteristic;the value function and distance function have arrived,the preference distance of decision outcomes have been worked out by the value function and distance function.Feasibility and effectiveness of the(approach) proposed in this paper are illustrated with a numerical example.
Keywords:Lattice Order Decision-making  Prospect Spaces  Lattice Value  Preference Relation
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