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中国管理科学

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多属性决策决问题的满意度与赋权研究

刘健1, 刘思峰1, 周献中2, 薛利3   

  1. 1. 南京航空航天大学经济与管理学院, 江苏南京 210016;
    2. 南京大学工程管理学院, 江苏南京 210093;
    3. 中国商用飞机有限责任公司, 上海 210012
  • 收稿日期:2010-05-10 修回日期:2011-07-07 出版日期:2011-12-30 发布日期:2011-12-30
  • 作者简介:刘健(1982- ),男(汉族),山东淄博人,南京航空航天大学经济与管理学院,宾夕法尼亚州立大学信息科学与技术学院,博士研究生,研究方向:不完备信息系统的研究。
  • 基金资助:
    国家社会科学基金重大招标项目(10zd&014);国家社科重点项目(08AJY024);国家自然基金资助项目(90924022,70901041,70971064,70971062);国家自然基金(青年项目)(71002046);国家科学技术学术著作出版基金资助项目(10td128)

Research on the Satisfaction Degree and Criteria Weight Obtaining for Multiple Criteria Decision Making Problem

LIU Jian1, LIU Si-feng1, ZHOU Xian-zhong2, XUE Li3   

  1. 1. School of Economics and Management, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;
    2. School of Management & Engineering(SME), Nanjing University, Nanjing 210093, China;
    3. Commercial Aircraft Corporation of China, Ltd., Shanghai 210012, China
  • Received:2010-05-10 Revised:2011-07-07 Online:2011-12-30 Published:2011-12-30

PDF (PC)

2007

被引次数

39

摘要： 多属性决策问题的决策中,决策者往往对属性上的数值存在一定的心理预期。首先,通过心理预期与实际数据获得决策对象在每个属性上的满意度,对决策对象进行筛选过滤;其次,提出属性值信息相容关系,利用属性值之间的相容度进行赋权,信息融合对满足决策者心理预期的决策对象排序择优;再次,提出决策对象满意度,并指出传统的排序方法获取的最优决策对象与决策者总体满意度最大的决策对象并不等价。具体算例表明,该方法科学有效且可行。

关键词: 多属性决策, 期望值, 满意度, 过滤, 相容关系, 赋权

Abstract: This paper mainly focuses on this situation in the Multiple Criteria Decision Making(MCDM) problems with interval number that decision makers always have a basic expectation on some criteria. Firstly,we filter off the useless alternatives and find out the useful criteria that can arrive to the basic satisfaction degree of the decision makers on all criteria.By using the useful alternatives construct a new data table and select out the best alternative from the new table.Secondly,we propose a new definition of tolerance relation for criteria value and use the tolerance degree of criteria value to obtain the criteria weights. Thirdly,we also propose a new definition for satisfaction degree of alternatives.The best alternative(s)in decision making found by the traditional ranking methods does not have an equivalence relation with the alternative(s)that have the biggest combinatorial satisfaction degree of decision makers.Finally,an interval number example shows that the method is scientific and effective as well as feasible.

Key words: multiple-criteria decision making, expectation, satisfaction degree, filter off, tolerance relation, obtain criteria weights

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