摘要
犹豫模糊语言术语集作为一种有效的信息表达形式,能够很好的反映出人们的定性且犹豫的决策信息。传统的距离测度会导致犹豫模糊语言信息的流失,因此,本文首先提出了一种新的犹豫模糊语言距离测度,并研究了该距离测度的性质。其次,针对属性权重完全未知的犹豫模糊语言多属性决策问题,考虑方案和属性两个层面,构建了多目标优化的属性权重确定模型。进而,基于多目标权重优化模型和犹豫模糊语言距离测度,提出了一种改进的犹豫模糊语言TOPSIS法。最后通过实例说明了所提出的TOPSIS法的实用性和有效性,并进行了灵敏度和比较分析。
Hesitant fuzzy linguistic term set(HFLTS)as an useful information expression form can well reflect qualitative and hesitant decision-making information of people.Traditional distance measures may cause loss of information of hesitant fuzzy linguistic.Therefore,this paper first proposes a new distance measure between HFLTSs and discusses some relevant properties.Then,for hesitant fuzzy linguistic multi-attribute decision-making with unknow attribute weights,aiming at the two aspects of alternative and attribute,the multi-objective optimization attribute weight determination model is proposed to obtain the weights of attributes.Furthermore,an improved TOPSIS method is developed based on the multi-objective weight optimization model and the new distance measure.In the end,a practical example is provided to verify the practicability and effectiveness of the proposed method,sensitive and comparative analysis are provided as well.
作者
吴澎
吴群
周礼刚
陈华友
WU Peng;WU Qun;ZHOU Li-gang;CHEN Hua-you(School of Mathematical Sciences,Anhui University,Hefei 230601,China;School of Business,Anhui University,Hefei 230601,China)
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2021年第6期42-47,共6页
Operations Research and Management Science
基金
国家自然科学基金资助项目(71771001,71871001)
安徽省哲学社会科学规划项目(AHSKQ2020D10)
安徽省自然科学基金杰出青年基金(1908085J03)
安徽省学术和技术带头人及后备人选资助项目(2018H179)
全国统计科学研究项目(2019LY66)。
关键词
多属性决策
犹豫模糊语言术语集
改进TOPSIS
多目标优化
multi-attribute decision-making
hesitant fuzzy linguistic term set
improved TOPSIS
multi-objective optimization
作者简介
吴澎(1990-),男,安徽宿州人,讲师,博士,研究方向:预测和决策;吴群(1994-),男,安徽枞阳人,硕士研究生,研究方向:预测和决策;周礼刚(1980-),男,安徽潜山人,教授,博士生导师,研究方向:预测和决策;陈华友(1969-),男,安徽和县人,教授,博士生导师,研究方向:预测和决策。
