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直觉梯形模糊群决策的可能性均值方差方法
  • ISSN号：1000-5781
  • 期刊名称：系统工程学报
  • 时间：2012.12.12
  • 页码：782-788
  • 分类：C934[经济管理—管理学;社会学]
  • 作者机构：[1]江西财经大学信息学院,江西南昌330013, [2]东南大学经济管理学院,江苏南京210018, [3]福州大学管理学院,福建福州350108
  • 相关基金：国家自然科学基金资助项目（71061006;70861002;71171055;70871117;61263018）;教育部人文社科基金资助项目（09YGC630107）;江西省教育厅科技资助项目（GJJl2265）;江西省自然科学基金资助项目（20114BAB201012）.
  • 相关项目：基于区间直觉梯形模糊数的多属性决策和群决策理论与方法
作者： 万树平|张小路|李登峰|
关键词： 多属性群决策, 直觉梯形模糊数, 可能性均值, 可能性方差, multi-attribute group decision making, intuitionistic trapezoidal fuzzy number, possibility mean, possibility variance
中文摘要：

研究方案属性值为直觉梯形模糊数（ITFN）的多属性决策群问题，提出了一种基于可能性均值一方差的决策方法．首先定义了ITFN新的合理运算法则，引入了ITFN的可能性均值、方差及其指标值的概念，根据可能性均值和方差指标给出了ITFN新的排序方法．通过构建线性目标规划模型求解得到方案的群体综合属性值，进而给出群决策结果．实例分析验证了方法的有效性．

英文摘要：

For multi-attribute group decision making problems where the attribute values are intuitionistlc trapezoidal fuzzy numbers （ITFNs）, a new decision making method is developed on the basis of possibility mean-variance. The new and reasonable operation laws for ITFNs are firstly defined and the notions of possi- bility mean and variance for ITFN, as well as the possibility mean index and variance index, are introduced. A new ranking approach for ITFNs is given according to the possibility mean index and variance index. A linear goal programming model is constructed and the collective overall attribute values of alternatives are derived by solving this model. Thus, the results of group decision making are obtained. The feasibility and effectiveness of the method is illustrated with an example.

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期刊信息
  • 《系统工程学报》
  • 北大核心期刊（2014版）
  • 主管单位:中国科协
  • 主办单位:中国系统工程学会
  • 主编：唐万生
  • 地址：天津市卫津路92号
  • 邮编：300072
  • 邮箱：jsetju@263.net
  • 电话：022-27403197
  • 国际标准刊号：ISSN：1000-5781
  • 国内统一刊号：ISSN：12-1141/O1
  • 邮发代号:6-95
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:14850