摘要
针对属性值为区间对偶犹豫模糊语言变量的多属性决策问题,提出了一种基于区间对偶犹豫模糊语言变量Frank算子的多属性决策方法。首先,给出了区间对偶犹豫模糊语言变量的运算规则,提出了改进的区间对偶犹豫模糊集的得分函数、精确函数;其次,结合Frank-T范数和Frank-S范数,定义了区间对偶犹豫模糊语言变量Frank集结算子及其运算规则;最后,结合实际顾客需求问题,以VR在线购房为实例,将顾客需求的自然语言描述转化为区间对偶犹豫模糊语言,并运用区间对偶犹豫模糊Frank算子对顾客需求进行排序,验证了该方法的可行性和有效性。
To solvethe multi-attribute decision-making problem with interval dual hesitant fuzzy linguistic variables,a multi-attribute decision-making methodis proposed based on the interval dual hesitant fuzzy linguistic Frank operator.Firstly,the operational law of the interval dual hesitation fuzzy linguistic variables is defined,and the improved score function and accurate function of the interval dual hesitation fuzzy set are given.Secondly,combined withtheFrank-T norm and Frank-S norms,the Frank aggregation operator of interval dual hesitant fuzzy linguistic variables and its operational laws are defined.Finally,combined with the customer requirements problem,theVR online house watching is used as an example,wherethe natural language to describe the customer requirements is transformed into interval dual hesitation fuzzy linguistic variables and the interval dual hesitation fuzzy Frank operator is used to reorder the customer requirements.The results verify the feasibility and effectiveness of the proposed method.
作者
程紫薇
杨志辉
王斌斌
CHENG Ziwei;YANG Zhihui;WANG Binbin(School of Science,East China University of Technology,Nanchang 330013,China)
出处
《南昌大学学报（理科版）》
CAS
北大核心
2020年第5期421-429,438,共10页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(71762001,71961001)
东华理工大学研究生创新基金项目(DHYC-202028)。
关键词
多属性决策
区间对偶犹豫模糊语言变量
Frank集结算子
顾客需求
multi-attribute decision making
interval dual hesitation fuzzy linguistic variables
frank aggregation operator
customer requirements
