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属性和专家客观权重未知的多值中智数群决策方法
引用本文:冯源,曹月静.属性和专家客观权重未知的多值中智数群决策方法[J].数学的实践与认识,2021(2):68-77.
作者姓名:冯源  曹月静
作者单位:太原师范学院数学系
基金项目:半无限极大极小问题的研究2017-2020(2017-104);研究性教学法在图论课程中的实践2020(JGLX2038)。
摘    要:针对评价信息为多值中智数的多属性决策问题,提出基于最小最大相似度求解属性权重与标准区间求解专家权重的方法.该方法首先根据最小最大模型求解属性权重,将初始评价矩阵集结为综合决策矩阵,其次利用数字分析法求得标准区间,根据各专家与标准区间的相似度确定专家权重,再对综合评价矩阵集结得各方案的综合评价值,对综合评价值排序得最优方案,最后用实例说明了方法的有效性和适用性.

关 键 词:多属性群决策  相似度  标准区间

Multi-valued Neutrosophic Number Group Decision-making with Unknown Objective Weights of Criterias and Experts
FENG Yuan,CAO Yue-jing.Multi-valued Neutrosophic Number Group Decision-making with Unknown Objective Weights of Criterias and Experts[J].Mathematics in Practice and Theory,2021(2):68-77.
Authors:FENG Yuan  CAO Yue-jing
Institution:(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China)
Abstract:Aiming at the multi-criteria decision-making problems of multi-valued neutrosophic number,a method of solving criteria weight based on minimum maximum similarity degree and solving expert weight based on standard interval is proposed.This method firstly according to the minimum maximum model solving criteria weights,rally the initial evaluation matrix for the integrated decision matrix,then using the numerical analysis method for standard interval,according to the experts with the standard interval similarity expert weight is determined,then the comprehensive evaluation matrix gather comprehensive evaluation value of each project,the optimal project for sorting to the integrated evaluation,finally an example is used to illustrate the applicability and effectiveness of the method.
Keywords:multi attribute group decision-making  similarity  the standard interval
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