系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2015年
7期
1855~1862
,共null页
不确定幂加权几何平均算子 动态多目标决策 熵权 可能度
不確定冪加權幾何平均算子 動態多目標決策 熵權 可能度
불학정멱가권궤하평균산자 동태다목표결책 적권 가능도
uncertain power geometric weighted average operators (UPGWA);dynamic multiple criteria decision making;entropy weighting method;possibility degree;
针对方案属性信息不确定、决策信息分布多个阶段以及传统加权平均算子权重没有考虑集成数据间相互关系等问题, 提出一种基于不确定幂加权几何平均算子的动态多目标决策方法. 该方法不仅可以集结决策者在多阶段给出的不确定信息, 同时结合模糊集理论, 考虑了集结模糊信息时数据间的支撑程度对权重系数的影响, 强化了对模糊信息的处理, 使得被评估的信息更加贴近实际. 然后给出基于可能度的排序方法来选择最优方案. 最后通过算例分析说明了所提出方法的合理性和可行性.
針對方案屬性信息不確定、決策信息分佈多箇階段以及傳統加權平均算子權重沒有攷慮集成數據間相互關繫等問題, 提齣一種基于不確定冪加權幾何平均算子的動態多目標決策方法. 該方法不僅可以集結決策者在多階段給齣的不確定信息, 同時結閤模糊集理論, 攷慮瞭集結模糊信息時數據間的支撐程度對權重繫數的影響, 彊化瞭對模糊信息的處理, 使得被評估的信息更加貼近實際. 然後給齣基于可能度的排序方法來選擇最優方案. 最後通過算例分析說明瞭所提齣方法的閤理性和可行性.
침대방안속성신식불학정、결책신식분포다개계단이급전통가권평균산자권중몰유고필집성수거간상호관계등문제, 제출일충기우불학정멱가권궤하평균산자적동태다목표결책방법. 해방법불부가이집결결책자재다계단급출적불학정신식, 동시결합모호집이론, 고필료집결모호신식시수거간적지탱정도대권중계수적영향, 강화료대모호신식적처리, 사득피평고적신식경가첩근실제. 연후급출기우가능도적배서방법래선택최우방안. 최후통과산례분석설명료소제출방법적합이성화가행성.
In order to consider the uncertainty information, decision information distribution of multi stages as well as the traditional weighted average operator without considering the integration among the data relationship, a dynamic multiple criteria decision making method with uncertain power geometric weighted average operators is proposed. In the method, combining the fuzzy set theory, the uncertainty information in multi stages are aggregated, and the support degree among the data relationship are also considered. Moreover, the processes of handling fuzzy evaluation information are strengthened, and the evaluated results are more close to the actual. The ranking method based on possibility degree is used to select the optimal alternative. Finally, a numerical example is introduced to illustrate the reasonability and feasibility of the proposed method.