概率q阶犹豫模糊TODIM方法及其应用  

Probabilistic q-rung hesitant fuzzy TODIM method and its application

作　　者：周宇[1,2,3] 周礼刚[1,2,3] 林志超[2,3] 徐鑫[2,3] ZHOU Yu;ZHOU Ligang;LIN Zhichao;XU Xin(School of Big Data and Statistics,Anhui University,Hefei 230601,Anhui,China;School of Mathematical Sciences,Anhui University,Hefei 230601,Anhui,China;Anhui Center for Applied Mathematics,Anhui University,Hefei 230601,Anhui,China)

机构地区：[1]安徽大学大数据与统计学院,安徽合肥230601 [2]安徽大学数学科学学院,安徽合肥230601 [3]安徽大学应用数学中心,安徽合肥230601

出　　处：《山东大学学报（理学版）》2023年第6期9-17,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(62276146,72171002,71771001);安徽省自然科学基金杰出青年基金资助项目(1908085J03);安徽省学术和技术带头人及后备人选资助项目(2018H179);安徽省高校学科(专业)拔尖人才学术资助项目(gxbjZD2020056)。

摘　　要：为了度量概率q阶犹豫模糊信息之间的差异,基于得分函数和综合犹豫度提出一种概率q阶犹豫模糊距离测度,并研究其性质。进而,基于概率q阶犹豫模糊距离测度,提出一种概率q阶犹豫模糊交互式多准则决策(TOmada de decis2o interative multicritério,TODIM)方法。最后通过实例说明所提出的TODIM方法的合理性和有效性,并进行灵敏度分析。To measure differences in probabilistic q-rung hesitant fuzzy information,a novel measure of the probabilistic q-rung hesitant fuzzy distance is proposed based on the score function and overall hesitancy.The properties of this measure are discussed.A probabilistic q-rung hesitant fuzzy TODIM method is proposed based on the new distance measure.Finally,a practical example is presented to illustrate the reasonableness and effectiveness of the proposed method,and a sensitivity analysis is performed.

关 键 词：概率q阶犹豫模糊集 距离测度 TODIM 多属性决策 

分 类 号：O159[理学—数学]