概率q阶犹豫模糊ELECTRE Ⅲ方法及其应用  

Probabilistic q-rung hesitant fuzzy ELECTRE Ⅲ method and its application

作　　者：代宁[1,2,3] 周礼刚 徐志骏[2,3] 杨梦雪 郑根生 DAI Ning;ZHOU Ligang;XU Zhijun;YANG Mengxue;ZHENG Gensheng(School of Big Data and Statistics,Anhui University,Hefei 230601,China;School of Mathematical Sciences,Anhui University,Hefei 230601,China;Center for Applied Mathematics,Anhui University,Hefei 230601,China)

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

出　　处：《哈尔滨商业大学学报(自然科学版)》2025年第1期67-74,共8页Journal of Harbin University of Commerce:Natural Sciences Edition

基　　金：国家自然科学基金(72171002,U22A20366,72271002,72201004,72301003);安徽省高校学科(专业)拔尖人才学术资助项目(gxbjZD2020056);大学生创新创业项目(X20240035,S202310357013,S202310357014,S202310357261)。

摘　　要：为了将消去与选择转换方法(ELECTRE)应用于概率q阶犹豫模糊信息下的多属性决策问题,基于ELECTRE Ⅲ方法,提出概率q阶犹豫模糊和谐性指数、概率q阶犹豫模糊不和谐性指数和概率q阶犹豫模糊可信度指数.进而,基于概率q阶犹豫模糊的距离测度,提出一种概率q阶犹豫模糊ELECTRE Ⅲ方法.通过实例说明所提出的ELECTRE Ⅲ方法的合理性与有效性.In order to apply ELECTRE method to multi-attribute decision-making problem with probabilistic q-rung hesitant fuzzy information,based on ELECTRE Ⅲ method,probabilistic q-rung hesitant fuzzy concordance index,probabilistic q-rung hesitant fuzzy discordance index and probabilistic q-rung hesitant fuzzy credibility index were proposed.The probabilistic q-rung hesitant fuzzy ELECTRE Ⅲ method was proposed based on the probabilistic q-rung hesitant fuzzy distance.A practical example was presented to illustrate the reasonableness and effectiveness of the proposed method.

关 键 词：多属性决策 概率q阶犹豫模糊集 ELECTRE 距离测度 概率q阶犹豫模糊指数 案例应用 

分 类 号：O159[理学—数学]