姚爱婷, 梅孔椿, 毛军军, 姚登宝.基于新语言尺度函数的犹豫Z-number群决策模型[J].重庆工商大学学报(自然科学版),2019,36(1):38-44
基于新语言尺度函数的犹豫Z-number群决策模型
Hesitant Z-number Group Decision Model Based on New Language Scale Function
  
DOI:
中文关键词:  Z-number理论  语言尺度函数  犹豫语言型Z-number  可能度  群决策问题
英文关键词:Z-number theory  linguistic scaling function  hesitant language Z-number  possibility degree  group decision problem
基金项目:
作者单位
姚爱婷, 梅孔椿, 毛军军, 姚登宝 安徽大学 a.数学科学学院
b.计算机智能与信号处理教育部重点实验室
c.经济学院合肥 230601 
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中文摘要:
      针对犹豫语言型Z-numbers(HLZ-numbers)的群决策问题,提出了在未知专家属性权重时以犹豫语言型Z-numbers为信息环境下的群决策方法;首先在Z-number理论和语言型语集的基础上提出了两类新的语言尺度函数(LSF)以及相关性质,并用新的语言尺度函数来度量语言型信息;其次结合两类新的语言尺度函数提出了犹豫语言型Z-numbers之间的距离公式,并建立了基于新的语言尺度函数的犹豫Z-numbers群决策模型;该模型结合集成算子理论,利用区间数算术平均将决策矩阵集成为综合矩阵,通过建立二维的可能度比较可能度矩阵,然后利用排序向量法进行排序;最后,通过一个实例分析验证了该方法的有效性和可行性。
英文摘要:
      In order to solve the problem of group decision making of hesitant language type Z-numbers (HLZ-numbers),a group decision method is proposed under the information environment of hesitant language type Z-numbers in the unknown expert attribute weight. First,two kinds of new language scale functions (LSF) and related properties are proposed on the basis of Z-number theory and language type set,and a new language scale function is used to measure language information. Secondly,the distance formula between hesitant language type Z-numbers is proposed by combining the two new language scale functions,and a new method is established based on the new language scale function. The linguistic scale function of hesitant Z-numbers group decision making model is set up. The model combines the integration operator theory and uses the interval number arithmetic average to make the decision matrix set into a comprehensive matrix,by establishing a two-dimensional possibility degree comparison possibility matrix,and then sorting by the sort vector method. Finally,an example is given to illustrate the effectiveness and feasibility of the method.
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