二元不确定语言术语集成算子及在群决策中的应用

doi:10.12005/orms.2017.0230

运筹与管理 ›› 2017, Vol. 26 ›› Issue (10): 27-33.DOI: 10.12005/orms.2017.0230

二元不确定语言术语集成算子及在群决策中的应用

王中兴¹, 刘久兵², 刘芳¹, 何婷婷¹

1.广西大学数学与信息科学学院,广西南宁 530004;
2.南京大学工程管理学院,江苏南京 210093;

收稿日期:2015-06-18 出版日期:2017-10-25
作者简介:王中兴(1962-),男,广西钦州人,教授,硕士生导师,研究方向:优化与决策.通信作者:刘久兵(1988-),男,江西瑞金人,博士研究生,研究方向:智能信息处理与智能系统、粗糙集理论和多属性决策;刘芳(1977-),女,湖南邵阳人,教授,博士生导师,研究方向:优化与决策。
基金资助:
国家自然科学基金资助项目(71261001,71571054)

Binary Uncertain Linguistic Term Aggregating Operators and Its Application to Group Decision Making

WANG Zhong-xing¹ , LIU Jiu-bing² , LIU Fang¹ , HE Ting-ting¹

1.School of Mathematics and Information Science, Guangxi University, Nanning 530004, China;
2.School of Management and Engineering, Nanjing University, Nanjing 210093, China;

Received:2015-06-18 Online:2017-10-25

摘要/Abstract

摘要： 针对基于不确定语言评价信息的群决策问题,本文对不确定语言术语进行拓展,定义了包含语言术语权重信息的二元不确定语言术语,并给出能克服目前不确定语言术语集成运算不足的二元不确定语言术语集成运算法则。在此基础上,提出了基于二元不确定语言术语集成算子的群决策方法,并通过算例说明决策方法的可行性和有效性。

关键词: 不确定语言术语, 集成算子, 群决策

Abstract: With respect to group decision-making problems based on uncertain linguistic evaluation information, this paper expands uncertain linguistic term and defines binary uncertain linguistic term which contains the weight information of linguistic term. Meanwhile, the operational laws of binary uncertain linguistic term are given to overcome the current blemish of uncertain linguistic term aggregating operation. On this basis, an approach to group decision making problems is proposed based on binary uncertain linguistic term aggregating operators. Finally, an example is given to illustrate the feasibility and effectiveness of this decision-making method.

Key words: uncertain linguistic term, aggregating operators, group decision making

中图分类号:

C934

王中兴, 刘久兵, 刘芳, 何婷婷. 二元不确定语言术语集成算子及在群决策中的应用[J]. 运筹与管理, 2017, 26(10): 27-33.

WANG Zhong-xing , LIU Jiu-bing , LIU Fang , HE Ting-ting. Binary Uncertain Linguistic Term Aggregating Operators and Its Application to Group Decision Making[J]. Operations Research and Management Science, 2017, 26(10): 27-33.

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二元不确定语言术语集成算子及在群决策中的应用

Binary Uncertain Linguistic Term Aggregating Operators and Its Application to Group Decision Making

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