管理工程学报
管理工程學報
관리공정학보
Journal of Industrial Engineering and Engineering Management
2010年
4期
155~160
,共null页
群决策 诱导Choquet积分 模糊测度 集结算子
群決策 誘導Choquet積分 模糊測度 集結算子
군결책 유도Choquet적분 모호측도 집결산자
group decision making; induced choquet integral operator; fuzzy measure; aggregation operators
研究了决策者对方案有模糊偏好且偏好间存在相互关联的群决策问题。给出了诱导Choquet积分算子的定义,研究了它的性质;探讨了它与诱导有序权重平均、Choquet积分算子之间的相互关系;利用重要指数诱导Choquet积分和偏好诱导Choquet积分算子,给出了决策者对方案的个人偏好是模糊偏好关系的一种群决策方法。最后,通过实例说明这种方法的具体应用及计算过程。
研究瞭決策者對方案有模糊偏好且偏好間存在相互關聯的群決策問題。給齣瞭誘導Choquet積分算子的定義,研究瞭它的性質;探討瞭它與誘導有序權重平均、Choquet積分算子之間的相互關繫;利用重要指數誘導Choquet積分和偏好誘導Choquet積分算子,給齣瞭決策者對方案的箇人偏好是模糊偏好關繫的一種群決策方法。最後,通過實例說明這種方法的具體應用及計算過程。
연구료결책자대방안유모호편호차편호간존재상호관련적군결책문제。급출료유도Choquet적분산자적정의,연구료타적성질;탐토료타여유도유서권중평균、Choquet적분산자지간적상호관계;이용중요지수유도Choquet적분화편호유도Choquet적분산자,급출료결책자대방안적개인편호시모호편호관계적일충군결책방법。최후,통과실례설명저충방법적구체응용급계산과정。
The group decision making problems with fuzzy preference relations are investigated,where there are interactions phenomena among preference of decision makers.The concept of induced Choquet integral operator is introduced.Some of its desirable properties are investigated in detail.The relationships between the induced ordered weighted averaging and Choquet integral operator are discussed.Using the importance index induced Choquet integral and preference induced Choquet integral operators,an approach to group decision making with fuzzy preference relations is given.An example is provided to show the process of calculation of the developed approaches and to demonstrate its practicality.