基于连续语言型Z-Number算子的多属性决策方法  

Multi-attribute Decision-making Method based on Continuous Linguistic Z-Number Operator

作　　者：高建伟[1,2] 门慧娟[1,2] 郭奉佳 GAO Jian-wei;MEN Hui-juan;GUO Feng-jia(School of Economics and Management,North China Electric Power University,Beijing 102206,China;Beijing Key Laboratory of New Energy and Low-Carbon Development,North China Electric Power University,Beijing 102206,China)

机构地区：[1]华北电力大学经济与管理学院,北京102206 [2]华北电力大学新能源电力与低碳发展研究北京市重点实验室,北京102206

出　　处：《数学的实践与认识》2021年第12期55-68,共14页Mathematics in Practice and Theory

基　　金：国家自然科学基金(72071076);北京市自然基金项目(9202017)。

摘　　要：针对决策信息为区间犹豫性语言的多属性决策问题,提出一种基于连续语言型Z-Number算子的决策方法.首先,针对评价语言是区间犹豫性语言变量的问题,提出新型语言尺度函数,据此可将语言评价值转化为实数.其次,考虑到实际中决策者犹豫不决的问题,提出利用连续型语言变量表示概率,得到连续语言型Z-Number算子,并建立非线性规划定权模型,计算指标的属性权重.进而,基于连续语言型Z-Number算子和定权模型,给出多属性决策方法.最后,通过算例进行对比分析,验证所提出决策方法的有效性.Aiming at the multi-attribute decision-making problem in which the decision information is interval hesitant language,a decision-making method based on continuous language Z-Number operator is proposed.First of all,aiming at the problem that the evaluation language is an interval hesitant language variable,a new language scale function is proposed,based on which the language evaluation value can be transformed into a real number.Secondly,considering the hesitation of decision makers in practice,it is proposed to use continuous linguistic variables to express probability,obtain continuous linguistic Z-Number operator,and establish a non-linear programming fixed weight model to calculate the attribute weights of indicators.Furthermore,based on the continuous linguistic Z-Number operator and the fixed weight model,a multi-attribute decision-making method is given.Finally,comparative analysis is carried out through calculation examples to verify the effectiveness of the proposed decision-making method.

关 键 词：多属性决策 区间犹豫数 连续型Z-Number算子 准则权重 

分 类 号：O225[理学—运筹学与控制论]