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基于二元语义Archimedean S-模集成算子的群决策方法
  • ISSN号:1003-207X
  • 期刊名称:《中国管理科学》
  • 时间:0
  • 分类:C934[经济管理—管理学]
  • 作者机构:广西大学数学与信息科学学院,广西南宁530004
  • 相关基金:国家自然科学基金资助项目(71261001); 教育部人文社会科学(12YJC630080); 广西研究生教育创新计划项目(YCSZ201451)
中文摘要:

对于二元语义环境下的多指标群决策问题,本文采用扩展Archimedean S-模定义二元语义的新运算法则,并基于新运算法则给出对权重进行自适应调整的二元语义扩展Archimedean S-模集成(TASTA)算子、二元语义扩展Archimedean S-模加权平均(TASTWA)算子和二元语义向量扩展Archimedean S-模加权平均(V-TASTWA)算子。以及提出一种基于TASTWA算子和V-TASTWA算子的群决策方法,并通过实例说明决策方法的可行性与有效性。

英文摘要:

In the actual process of multi-attribute decision making(MADM),due to the complexity of objects and the inherent vagueness of human mind,the decision information is usually suitable to be expressed in natural language rather than a real number.However,natural languages always involve uncertainty and ambiguity,so it is difficult to avoid the loss of information in the process of decision making.The more the information loss,the less accurate results of decision are.In order to improve the accuracy of the decision making,it is necessary to correctly deal with linguistic decision information.And triangular norms,t-norms and s-norms and linguistic two-tuple are among the most effective ways to process linguistic information,and in this paper,based on Archimedean s-norm and linguistic two-tuple,some new operational laws of linguistic information are defined by using a continuous and strictly monotone increasing function and its inverse function.The prominent feature of such operations is that the operations are closed.Some main properties of these operations,such as commutativity,associativity and distribution law,are investigated.Moreover,considering the influence of expert weight on decision making,three new aggregation operators,including two-tuple linguistic extended Archimedean s-norm aggregation(TASTA)operator,two-tuple linguistic extended Archimedean s-norm weight averaging(TASTWA)operator and two-tuple linguistic vector extended Archimedean s-norm weight averaging(V-TASTWA)operator,are developed in this paper.All these aggregation operators use the consistency of group judgment to objectively adjust the expert weight and then effectively improve the accuracy of decision making.Later,a method for multi-attribute group decision making problems with two-tuple linguistic information is proposed based on TASTWA operator and V-TASTWA operator,and a numerical example is given to show its effectiveness and reasonability by comparison with other methods.The method not only overcomes the deficiency that

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期刊信息
  • 《中国管理科学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国优选法统筹法与经济数学研究会 中科院科技政策与管理科学研究所
  • 主编:蔡晨
  • 地址:北京海淀区中关村北一条15号(北京8712信箱)
  • 邮编:100190
  • 邮箱:zgglkx@casipm.ac.cn
  • 电话:010-62542629
  • 国际标准刊号:ISSN:1003-207X
  • 国内统一刊号:ISSN:11-2835/G3
  • 邮发代号:82-50
  • 获奖情况:
  • 国内外数据库收录:
  • 日本日本科学技术振兴机构数据库,中国中国人文社科核心期刊,中国中国科技核心期刊,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:25352