运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2013年
5期
117-121
,共5页
赵萌%任嵘嵘%李刚
趙萌%任嶸嶸%李剛
조맹%임영영%리강
管理科学%多属性群决策%模糊熵%模糊交叉熵%区间直觉模糊集
管理科學%多屬性群決策%模糊熵%模糊交扠熵%區間直覺模糊集
관이과학%다속성군결책%모호적%모호교차적%구간직각모호집
management science%group multiattribute decision making%fuzzy entropy%fuzzy cross entropy%interval-valued intuitionist fuzzy set
针对专家权重未知、专家判断信息以区间直觉模糊集给出的多属性群决策问题,提出了一种新的模糊熵决策方法。通过定义区间直觉模糊集的模糊熵判断专家信息的模糊程度,进而确定每位专家的权重;然后计算备选方案距理想方案和负理想方案的模糊交叉熵距离,得到每个专家对方案的排序;再分别利用加权算术算子和加权几何算子集结专家的排序结果,得到专家群体对方案的排序。实例分析验证了方法的有效性。
針對專傢權重未知、專傢判斷信息以區間直覺模糊集給齣的多屬性群決策問題,提齣瞭一種新的模糊熵決策方法。通過定義區間直覺模糊集的模糊熵判斷專傢信息的模糊程度,進而確定每位專傢的權重;然後計算備選方案距理想方案和負理想方案的模糊交扠熵距離,得到每箇專傢對方案的排序;再分彆利用加權算術算子和加權幾何算子集結專傢的排序結果,得到專傢群體對方案的排序。實例分析驗證瞭方法的有效性。
침대전가권중미지、전가판단신식이구간직각모호집급출적다속성군결책문제,제출료일충신적모호적결책방법。통과정의구간직각모호집적모호적판단전가신식적모호정도,진이학정매위전가적권중;연후계산비선방안거이상방안화부이상방안적모호교차적거리,득도매개전가대방안적배서;재분별이용가권산술산자화가권궤하산자집결전가적배서결과,득도전가군체대방안적배서。실례분석험증료방법적유효성。
With respect to multiple attribute group decision making ( MAGDM) problems in which the attribute val-ues given by the decision makers are the interval-valued intuitionist fuzzy set ( IVIFS) and the weights of the deci-sion makers are unknown , a new fuzzy entropy measure is proposed .We define the fuzzy degree of the informa-tion given by decision makers using fuzzy entropy of the interval-valued intuitionist fuzzy set , and determine the weights of the decision makers;We get the ranking results of each decision maker by calculating the ideal and the anti-ideal measure of IVIFS fuzzy cross entropy distance .Then we get the ranking results of the group deci-sion makers by using arithmetic weighted method and geometric weighted method of generating , The illustrated examples verify the efficiency of the method .