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不完全信息群体多属性决策的过滤函数法
引用本文:徐徐,胡毓达.不完全信息群体多属性决策的过滤函数法[J].运筹学学报,2004,8(3):89-94.
作者姓名:徐徐  胡毓达
作者单位:1. 温州大学信息科学与工程学院,温州,325027
2. 温州大学数学与信息科学学院,温州,325027
基金项目:国家自然基金资助项目(批准号:7001026)
摘    要:对于不完全信息群体多属性决策问题,本文通过构造适当的过滤函数,充分利用高质量的信息和过滤掉低质量的信息,使效用信息的集结过程充分体现群体的意愿.在引进一致优、严格优和弱优等偏好指标的基础上,利用它们建立起方案集上合理的全序关系,从而构造了一个交互式的群体多属性决策方法.

关 键 词:群体多属性决策  过滤函数  不完全信息  全序关系  线性规划  一致优  严格优
修稿时间:2003年3月18日

A Filter Function Method for Group Multiple-Attribute Decision-Making with Incomplete Information
Xu Xu Hu YudaSchool of Information Science and Engineer,Wenzhou University,Wenzhou,.School of Mathematics and Information Science,WenzhouUniversity,Wenzhuo,..A Filter Function Method for Group Multiple-Attribute Decision-Making with Incomplete Information[J].OR Transactions,2004,8(3):89-94.
Authors:Xu Xu Hu YudaSchool of Information Science and Engineer  Wenzhou University  Wenzhou  School of Mathematics and Information Science  WenzhouUniversity  Wenzhuo  
Institution:Xu Xu Hu YudaSchool of Information Science and Engineer,Wenzhou University,Wenzhou,325027.School of Mathematics and Information Science,WenzhouUniversity,Wenzhuo,325027.
Abstract:The objective of this paper is to construct a filter function for group multiple-attribute decision-making problem, which can make full use of the high-quality information and filter the low-quality information to sufficiently embody the will of the group. The paper provides a reasonable preference relations of all alternatives by using such preference indexes as consistent domination, strict domination and weak domination. As a result, the paper presents an interactive algorithm for group multiple-attribute decision-making problem.
Keywords:OR  group multiple-attribute decision-making  incomplete information  filter function  consistant dominance  weak dominance
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