|本期目录/Table of Contents|

[1]李楠,樊太和. 有序加权几何均值（OWG）算子的序结构[J].浙江理工大学学报,2011,28(01):131-134.
　LI Nan,FAN Tai he. Order Structure on Ordered Weighted Geometric(OWG) Operators[J].Journal of Zhejiang Sci-Tech University,2011,28(01):131-134.
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 有序加权几何均值（OWG）算子的序结构()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第28卷
期数:
2011年01期
页码:
131-134
栏目:
出版日期:
2011-02-28

文章信息/Info

Title:
 Order Structure on Ordered Weighted Geometric(OWG) Operators
文章编号:
16733851 (2011) 01013104
作者:
 李楠;  樊太和
 浙江理工大学理学院，杭州 310018
Author(s):
 LI Nan;  FAN Taihe
 School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 ; 有序加权几何均值算子;  算子比较;  序;  并不可约元
分类号:
O159
文献标志码:
A
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。

参考文献/References:

 ［1］ Yager R R, Xu Z S. The continuous ordered weighted geometric operator and its application to decision making［J］. Fuzzy Sets and Systems, 2006, 157: 13931402.
［2］ Xu Z S. 基于语言信息的决策理论与方法［M］. 北京: 科学出版社, 2008.
［3］ Yager R R. On ordered weighted averaging aggregation operators in multicriteria decisionmaking［J］. IEEE. Trans System Man Cybernet, 1988, 18: 183190.
［4］ Skala H J. Concerning ordered weighted averaging aggregation operators［J］. Statistical Papers, 1991, 32: 3544.
［5］ Yager R R. Families of OWA operators［J］. Fuzzy Sets and Systems, 1993, 59: 125148.
［6］ Fan T H, Ralescu D A. On the comparisons of OWA operators and ordinal OWA operators［J］. International Journal of Uncertainty, Fuzziness and Knowledgebased Systems, 1997, 5: 112.
［7］ Birkhoff G. Lattice Theory［M］. 3rd ed. Providence: AMS Colloquium Publications, Providence, 1967.
［8］ Rutherford D E. Introduction to Lattice Theory［M］. Edinburgh: Oliver & Boyd Ltd., 1965.
［9］ Davey B A, Priestley H A. Introductions to Lattices and Order［M］. 2nd ed. Cambridge: Cambridge University Press, 2002.

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备注/Memo

备注/Memo:
 收稿日期： 2010-05-26
基金项目： 国家自然科学基金项目（10871229）
作者简介： 李楠（1985-），女，山西长治人，硕士研究生，主要从事模糊推理的研究。
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