三参数区间数调和平均算子及决策应用

发布时间：2018-11-02 15:51

【摘要】：针对决策信息以三参数区间数据形式给出的多属性决策问题,提出了一些新的三参数区间数据信息的集成算子和决策方法。基于连续区间数据有序加权调和平均(C-OWHA)算子,定义了连续的三参数区间数据有序加权调和平均(CP-OWHA)算子,并将该算子进行了拓展,提出了加权调和CP-OWHA(WHCP-OWHA)算子、有序加权调和CP-OWHA(OWHCP-OWHA)算子和组合的CP-OWHA(CCP-OWHA)算子。进一步证明了WHCP-OWHA算子和OWHCP-OWHA算子均为CCP-OWHA算子的特例。CCP-OWHA算子同时推广了WHCP-OWHA算子和OWHCP-OWHA算子,CCP-OWHA算子不仅考虑了每个数据的自身重要性程度,而且还体现了该数据所在位置的重要性程度。基于WHCP-OWHA算子和CCP-OWHA算子,提出了一种属性权重和专家权重均为确定实数且属性值为三参数区间数的多属性群决策方法。最后给出了一个数值例子,结果表明该方法有效。
[Abstract]:In order to solve the problem of multi-attribute decision making in the form of three-parameter interval data, some new integration operators and decision methods of three-parameter interval data information are proposed. Based on the ordered weighted harmonic averaging (C-OWHA) operator for continuous interval data, the continuous ordered weighted harmonic averaging (CP-OWHA) operator for interval data with three parameters is defined, and the operator is extended. The weighted harmonic CP-OWHA (WHCP-OWHA) operator, the ordered weighted harmonic CP-OWHA (OWHCP-OWHA) operator and the combined CP-OWHA (CCP-OWHA) operator are proposed. It is further proved that both WHCP-OWHA operator and OWHCP-OWHA operator are special cases of CCP-OWHA operator. CCP-OWHA operator generalizes both WHCP-OWHA operator and OWHCP-OWHA operator. CCP-OWHA operator not only considers the importance of each data itself. It also reflects the importance of the location of the data. Based on WHCP-OWHA operator and CCP-OWHA operator, a multi-attribute group decision making method is proposed, in which both attribute weight and expert weight are real number and attribute value is three-parameter interval number. Finally, a numerical example is given, and the results show that the method is effective.
【作者单位】：重庆文理学院经济与管理学院;
【基金】：重庆市教委科学技术研究项目(KJ091204) 重庆文理学院校级科研项目(Y2009JG38)资助课题
【分类号】：C934

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