科技管理研究
科技管理研究
과기관리연구
SCIENCE AND TECHNOLOGY MANAGEMENT RESEARCH
2015年
5期
205-208,213
,共5页
付沙%唐晓波%刘钟理%周航军
付沙%唐曉波%劉鐘理%週航軍
부사%당효파%류종리%주항군
区间直觉梯形模糊数%多属性决策%灰色关联分析%Hamming距离%灰色关联系数
區間直覺梯形模糊數%多屬性決策%灰色關聯分析%Hamming距離%灰色關聯繫數
구간직각제형모호수%다속성결책%회색관련분석%Hamming거리%회색관련계수
interval-valued intuitionistic trapezoidal fuzzy number%multi-attribute decision making%grey relational a-nalysis%Hamming distance%grey relational coefficient
针对评价信息以区间直觉梯形模糊数形式给出的多属性决策问题,提出一种基于灰色关联分析的多属性决策方法。首先给出区间直觉梯形模糊数的定义、运算法则及距离公式,然后通过灰色关联分析得出关于区间直觉梯形模糊数的灰色关联系数;运用灰色关联系数确定各属性权重,并依据其计算得到各备选方案的关联度,最终根据该值的大小对所有方案排序以获得最优方案。进一步通过最佳信息系统决策的实例分析,验证所提方法的可行性与有效性。
針對評價信息以區間直覺梯形模糊數形式給齣的多屬性決策問題,提齣一種基于灰色關聯分析的多屬性決策方法。首先給齣區間直覺梯形模糊數的定義、運算法則及距離公式,然後通過灰色關聯分析得齣關于區間直覺梯形模糊數的灰色關聯繫數;運用灰色關聯繫數確定各屬性權重,併依據其計算得到各備選方案的關聯度,最終根據該值的大小對所有方案排序以穫得最優方案。進一步通過最佳信息繫統決策的實例分析,驗證所提方法的可行性與有效性。
침대평개신식이구간직각제형모호수형식급출적다속성결책문제,제출일충기우회색관련분석적다속성결책방법。수선급출구간직각제형모호수적정의、운산법칙급거리공식,연후통과회색관련분석득출관우구간직각제형모호수적회색관련계수;운용회색관련계수학정각속성권중,병의거기계산득도각비선방안적관련도,최종근거해치적대소대소유방안배서이획득최우방안。진일보통과최가신식계통결책적실례분석,험증소제방법적가행성여유효성。
The article proposed a multiple attribute decision making method based on grey relational analysis,aiming at the multiple attribute decision making problems with the evaluation information given in the form of interval-valued intuitionis-tic trapezoidal fuzzy numbers.First,the paper gives the definition of interval-valued intuitionistic fuzzy numbers,algo-rithms and distance formula,obtains the grey relational coefficient about interval -valued intuitionistic trapezoidal fuzzy numbers based on grey relational analysis,uses gray correlation coefficient to determine the weight of each attribute and cal-culated the relational grade of each options,and sorts all the options by the size of this value in order to get the best option. Finally,it verifies the feasibility and effectiveness of the proposed method through a numerical example.