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浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (2): 180-187,195    DOI: 10.3785/j.issn.1008-9497.2018.02.008
管理科学     
连续拟有序加权几何算子及其群决策应用
刘卫锋, 常娟, 杜迎雪
郑州航空工业管理学院 理学院, 河南 郑州 450015
Continuous quasi-ordered weighted geometric operator and its application to group decision making
LIU Weifeng, CHANG Juan, DU Yingxue
College of Science, Zhengzhou University of Aeronautics, Zhengzhou 450015, China
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摘要： 将拟有序加权几何算子（QOWG）推广至连续区间数上，提出了连续QOWG算子（CQOWG），探讨了其特殊情况和相关性质.其次，定义了CQOWG算子的orness测度，研究了orness测度的性质.然后，定义了加权连续QOWG算子（WCQOWG）、有序加权连续QOWG算子（OWCQOWG）以及组合连续QOWG算子（CCQOWG），并讨论了它们的性质.最后，提出了基于连续QOWG算子的多属性群决策方法，并通过决策实例说明其可行性与有效性.
关键词： 区间数;  连续QOWG算子;  群决策;  集成算子;  orness测度    
Abstract: The multi-attribute group decision-making is discussed, in which the attribute weights and the decision-maker are known, with the attribute values expressed by interval numbers. Motivated by the idea of quasi-ordered weighted geometric operator(QOWG), some QOWG operators for aggregating interval numbers are developed. Firstly, the QOWG operator is extended to the case in which the input argument is a continuous interval number, and the continuous QOWG operator (CQOWG) is defined. The special cases and some features of the CQOWG operator are discussed. Then, the orness measure of the CQOWG operator is defined, and its properties are also investigated. Further, the weighted continuous QOWG operator (WCQOWG), the ordered weighted continuous QOWG operator(OWCQOWG) and the combined continuous QOWG operator(CCQOWG) are proposed, and the properties of these operators are also discussed. Finally, an approach for multi-attribute group decision-making based on continuous QOWG operator is presented, and a practical example is given to verify the proposed methods and to demonstrate their feasibility and effectiveness.
Key words: interval number    continuous QOWG operator    group decision-making    aggregation operator    orness measure
收稿日期: 2016-08-03 出版日期: 2018-03-08
CLC:  C934  
基金资助: 国家自然科学基金青年科学基金资助项目（11501525）；河南省高等学校重点科研项目（18A110032）；航空科学基金项目（2016ZG55019）；郑州航空工业管理学院青年科研基金项目（2016113001）.
作者简介: 刘卫锋(1976-),ORCID:http://orcid.org/0000-0002-8127-9650,男,硕士,副教授,主要从事模糊数学研究.
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引用本文:

刘卫锋, 常娟, 杜迎雪. 连续拟有序加权几何算子及其群决策应用[J]. 浙江大学学报（理学版）, 2018, 45(2): 180-187,195.

LIU Weifeng, CHANG Juan, DU Yingxue. Continuous quasi-ordered weighted geometric operator and its application to group decision making. Journal of ZheJIang University(Science Edition), 2018, 45(2): 180-187,195.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.02.008    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I2/180

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