单值中智语言集属性相关联的多属性群决策方法  

Multi-attribute Group Decision Making of Single-Valued Neutrosophic Linguistic Set with Interacting Attributes

作　　者：冯源[1] 危婷 FENG Yuan;WEI Ting(Department of Mathematics,Taiyuan Normal University,Jinzhong,030619,China)

机构地区：[1]太原师范学院数学系,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2021年第4期7-13,共7页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：《数学学科发展前沿》课程设计与教学改革研究(2020YJJG281).

摘　　要：单值中智语言集同时具有单值中智集和语言集的优点,对于模糊信息的处理更加有效,结合TODIM方法可以解决在单值中智语言环境下且属性相关的多属性群决策问题.首先给出了单值中智语言集的一些相关知识,定义了基于单值中智语言集的Choquet积分算子,来解决属性间的关联性问题并集结了各个专家的评价值,再通过TODIM方法计算方案间的优势度从而得到全局优势,据此对方案进行排序.最后将此法运用到具体算例之中验证该法的可行性和有效性.Single-valued neutrosophic linguistic set has the advantages both the single-valued neutrosophic set and the linguistic set.A method is proposed to solve multiple attribute group decision making problems with interacting attributes,where the attribute values are single-valued neutrosophic linguistic numbers.Firstly,some related knowledge of single-valued neutrosophic linguistic set is given,and the Choquet integral operator based on single-valued neutrosophic linguistic set is defined to solve the problem of interacting attributes and to gather the evaluation values of experts.Then,rank obtained by the TODIM method.Finally,the practical application process of the proposed is illustrated by the case,which verifies the feasibility and effectiveness of the method.

关 键 词：单值中智语言集 模糊测度 CHOQUET积分 TODIM方法 

分 类 号：O224[理学—运筹学与控制论]