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区间直觉纯语言信息的集结方法及其在群决策中的应用

Methods for aggregating interval-valued intuitionistic pure linguistic information and their application to group decision making

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【作者】 彭勃叶春明

【Author】 PENG Bo;YE Chunming;School of Management,Fudan University;Institute of Mathematics,Zhejiang Wanli University;Business School,University of Shanghai for Science and Technology;

【机构】 复旦大学管理学院浙江万里学院数学研究所上海理工大学管理学院

【摘要】 对区间直觉纯语言信息的集结方法进行了研究.定义了区间直觉纯语言集及其运算法则和区间直觉纯语言变量的得分函数和精确函数,给出了一种简单的区间直觉纯语言变量的排序方法.进一步,提出了一些基于区间直觉纯语言信息及其运算法则的信息集结算子.在此基础上,给出了一种专家权重、属性权重及属性值均以语言标度形式给出的区间直觉纯语言信息集结方法,并将此方法应用到多属性群决策中.最后通过实例分析表明了该方法的有效性和可行性.

【Abstract】 Methods for aggregating interval-valued intuitionistic pure linguistic information are investigated.Interval-valued intuitionistic pure linguistic set,as well as its operational laws,the score function and accuracy function are defined.Based on the two functions,a method for ranking interval-valued intuitionistic pure linguistic variables is presented.And then,some new interval-valued intuitionistic pure linguistic aggregation operators based on the interval-valued intuitionistic pure linguistic evaluation scale and the operational laws are developed.Moreover,methods for aggregating interval-valued intuitionistic pure linguistic information,in which all expert weights,attribute weights,attribute values take the form of linguistic labels are proposed.Also,the methods are applied to the multiple attribute group decision making.And finally,the feasibility and effectiveness of the methods are shown by an illustrative example.

【基金】 中国博士后科学基金(2015M571494);浙江省自然科学基金(LQ15G010003);宁波市自然科学基金(2015A610172);宁波市哲学社科规划课题(G15-ZX)~~
  • 【文献出处】 系统工程理论与实践 ,Systems Engineering-Theory & Practice , 编辑部邮箱 ,2016年06期
  • 【分类号】C934
  • 【被引频次】12
  • 【下载频次】192
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