合肥学院学报(自然科学版)
閤肥學院學報(自然科學版)
합비학원학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY(NATURAL SCIENCES)
2014年
4期
10-14
,共5页
赵妍%吴涛%钱庆庆%赵蓝天
趙妍%吳濤%錢慶慶%趙藍天
조연%오도%전경경%조람천
logistic模型%直觉模糊数%多属性决策%相对关联系数%参考序列
logistic模型%直覺模糊數%多屬性決策%相對關聯繫數%參攷序列
logistic모형%직각모호수%다속성결책%상대관련계수%삼고서렬
logistic model%intuitionistic fuzzy number%multi-attribute decision making%relative correlation coefficient%reference sequence
针对直觉模糊数随时间变化的影响,研究了时间权重和属性权重完全未知的直觉模糊数的多属性决策问题,结合灰色关联分析法定义了相对关联系数和相对关联度。首先由logistic曲线模型得到时间权重确定公式,根据每个方案的属性与理想解的距离,构造相对关联系数矩阵,建立多目标规划模型来确定属性的权重,并根据相对关联度的大小对方案进行排序;最后,通过实例分析说明该算法可行,且择优区分度更好。
針對直覺模糊數隨時間變化的影響,研究瞭時間權重和屬性權重完全未知的直覺模糊數的多屬性決策問題,結閤灰色關聯分析法定義瞭相對關聯繫數和相對關聯度。首先由logistic麯線模型得到時間權重確定公式,根據每箇方案的屬性與理想解的距離,構造相對關聯繫數矩陣,建立多目標規劃模型來確定屬性的權重,併根據相對關聯度的大小對方案進行排序;最後,通過實例分析說明該算法可行,且擇優區分度更好。
침대직각모호수수시간변화적영향,연구료시간권중화속성권중완전미지적직각모호수적다속성결책문제,결합회색관련분석법정의료상대관련계수화상대관련도。수선유logistic곡선모형득도시간권중학정공식,근거매개방안적속성여이상해적거리,구조상대관련계수구진,건립다목표규화모형래학정속성적권중,병근거상대관련도적대소대방안진행배서;최후,통과실례분석설명해산법가행,차택우구분도경호。
For the situation that intuitionistic fuzzy numbers change as time , the paper investigates the problem of multi‐attribute decision making ,in w hich the attribute values are intuitionistic fuzzy numbers and the weights of attribute and time information is complete unknow n .Relative correlation coefficient and relative correlation degree are defined based on the Grey correlation analysis method .Firstly ,the time weight determination formulas based on the logistic model .By using the distance between attribute and ideal solution formed a matrix of relative correlation coefficient ,the model of multi‐attribute decision making is constructed , thereby the weights of attribute is determined .Furthermore ,the relative correlation degree of each scheme is computed , then scheme is ranked based on the relative correlation degree . Finally ,the example analysis show s the feasibility of the method ,and using our scheme can obtain much better merit‐based discrimination .