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有序加权几何均值(OWG)算子的序结构 被引量：1

Order Structure on Ordered Weighted Geometric(OWG) Operators
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摘要 讨论有序加权几何均值(OWG)算子的比较问题。将原有的OWG算子定义作了推广,从而使得OWG算子对闭单位区间的乘积上所有元素都有定义。证明了按照权重向量的序关系OWG算子集合构成一个完备格。在此基础上,给出了权重向量中的并不可约元的结构,并给出了用并不可约元表示权重向量集合里的所有元素的方法。 The authors are primarily concerned with the comparisons of the OWG operators.The original definition of OWG operators is generalized so that the OWG can be defined on the product of closed unit intervals.It is proved that the set of OWG operators forms a complete lattice according to the order on the set of all weight vectors.The structure of the set of all join-irreducible elements is described.Furthermore,the method as how to express all weight vectors via join-irreducible elements is demonstrated.
作者 李楠 樊太和
机构地区 浙江理工大学理学院
出处 《浙江理工大学学报（自然科学版）》 2011年第1期131-134,154,共5页 Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金 国家自然科学基金项目(10871229)
关键词 有序加权几何均值算子 算子比较 序 并不可约元 OWG operators comparison order join-irreducible elements
分类号 O159 [理学—基础数学]
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参考文献9

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浙江理工大学学报（自然科学版）
2011年 第1期

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