计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
4期
35-40
,共6页
群决策%偏好信息%二元语义%一致化%T-OWA算子
群決策%偏好信息%二元語義%一緻化%T-OWA算子
군결책%편호신식%이원어의%일치화%T-OWA산자
group decision making%preference information%two-tuple linguistic%uniformity%T-OWA operator
针对具有序关系值、效用值、互反判断矩阵、互补判断矩阵、区间模糊数、三角模糊数六种不同偏好评价信息的群决策问题，根据偏好信息的实际意义，通过转换函数将不同偏好信息一致化为二元语义判断矩阵形式，阐明转化方法的合理性与有效性，采用二元语义加权算术平均（T-WAA）算子集结转化后的二元语义判断矩阵，得到群体二元语义判断矩阵，基于二元语义有序加权平均（T-OWA）算子计算某方案优于其他所有方案的整体偏好程度，从而对方案排序择优。算例分析表明该群决策方法的有效性与合理性。
針對具有序關繫值、效用值、互反判斷矩陣、互補判斷矩陣、區間模糊數、三角模糊數六種不同偏好評價信息的群決策問題，根據偏好信息的實際意義，通過轉換函數將不同偏好信息一緻化為二元語義判斷矩陣形式，闡明轉化方法的閤理性與有效性，採用二元語義加權算術平均（T-WAA）算子集結轉化後的二元語義判斷矩陣，得到群體二元語義判斷矩陣，基于二元語義有序加權平均（T-OWA）算子計算某方案優于其他所有方案的整體偏好程度，從而對方案排序擇優。算例分析錶明該群決策方法的有效性與閤理性。
침대구유서관계치、효용치、호반판단구진、호보판단구진、구간모호수、삼각모호수륙충불동편호평개신식적군결책문제，근거편호신식적실제의의，통과전환함수장불동편호신식일치화위이원어의판단구진형식，천명전화방법적합이성여유효성，채용이원어의가권산술평균（T-WAA）산자집결전화후적이원어의판단구진，득도군체이원어의판단구진，기우이원어의유서가권평균（T-OWA）산자계산모방안우우기타소유방안적정체편호정도，종이대방안배서택우。산례분석표명해군결책방법적유효성여합이성。
The group decision making problem with six forms of preference evaluation information is proposed, the pref-erence evaluation information are preference ordering of the alternatives, utility values, fuzzy judgement matrix, multiplicative judgement matrix, interval fuzzy numbers and triangular fuzzy numbers, from the definition of preference information, transforming different forms of preference information to two-tuple linguistic judgement matrices with transformation functions, effectiveness and rationality of the transformation are demonstrated, the Two-tuple linguistic Weighting Arithmetic Average(T-WAA) operator is utilized to aggregate the transformed two-tuple linguistic judgement matrices, then the group two-tuple linguistic judgement matrix is obtained, based on the Two-tuple Ordered Weighting Average(T-OWA) operator, the entirety preference level of one alternative superior to all the other alternatives is calculated, the rank list of alternatives is the final conclusion. An illustrative example analysis shows the effectiveness and feasibility of this approach.
