基于概率犹豫信息集成方法的群决策模型<sup>*</sup>

doi:10.16451/j.cnki.issn1003-6059.201710004

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摘要现有犹豫模糊集在描述决策信息时会导致决策信息大量损失,因此文中基于概率犹豫模糊信息集成算子,构建多属性群决策模型.首先在概率犹豫模糊环境下引入Archimedean范数,定义概率犹豫模糊运算法则.基于该运算法则,提出广义概率犹豫模糊有序加权平均(GPHFOWA)算子和广义概率犹豫模糊有序加权几何(GPHFOWG)算子,并讨论它们的基本性质.然后分析GPHFOWA算子和GPHFOWG算子的常见形式和相互关系.最后运用提出的2类算子构建概率犹豫模糊多属性群决策模型,并且通过供应商的选择实例验证决策模型的可行性和有效性.

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	武文颖
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关键词 ：多属性群决策, 概率犹豫模糊集, Archimedean范数, 信息集成算子, 供应商选择

Abstract：Serious loss of the decision information is caused while the decision making information is described by the existing hesitant fuzzy sets. In this paper, a multi-attribute group decision making model is designed on the basis of the probabilistic hesitant fuzzy information aggregation operators. Firstly, the Archimedean norm is introduced under the probability hesitation fuzzy environment to define the probability hesitation fuzzy operation rule. Secondly, the generalized probabilistic hesitant fuzzy ordered weighted averaging(GPHFOWA) operator and the generalized probabilistic hesitant fuzzy ordered weighted geometric(GPHFOWG) operator are proposed based on the operation rule, and their basic properties are discussed. Subsequently, several common forms of GPHFOWA operator and GPHFOWG operator and their relations are analyzed. Finally, a probabilistic fuzzy multi-attribute group decision making model is constructed by using the two kinds of operators, and the feasibility and the effectiveness of the decision model are verified by an example of supplier selection.

Key words： Multi-attribute Group Decision Making Probabilistic Hesitant Fuzzy Set Archimedean Norm Information Aggregation Operator Supplier Selection

收稿日期: 2017-04-17

ZTFLH:

TP 181

基金资助:国家自然科学基金重点项目(No.71490725)、国家自然科学基金项目(No.91546108)、国家社会科学基金项目(No.16BJY132)、安徽省哲学社会科学规划项目(No.AHSKY2015D68)资助

作者简介: 武文颖,女,1993年生,硕士研究生,主要研究方向为模糊决策在社会关系网络及物流供应链管理方面的应用.E-mail:wuwenying0318@163.com.
李应,女,1972年生,博士,副教授,主要研究方向为供应链管理、决策科学与技术、智能管理技术、企业理论与管理.E-mail:hgdly@126.com.
金飞飞(通讯作者),男,1988年生,博士研究生,主要研究方向为智能管理、决策分析.E-mail:shexian19880129@163.com.
倪志伟,男,1963年生,博士,教授,主要研究方向为数据挖掘、智能管理、大数据.E-mail:zhwnelson@163.com.
朱旭辉,男,1991年生,博士研究生,主要研究方向为进化计算、机器学习.E-mail:9431772042qq.com.

引用本文:

武文颖，李应，金飞飞，倪志伟，朱旭辉. 基于概率犹豫信息集成方法的群决策模型^*[J]. 模式识别与人工智能, 2017, 30(10): 894-906. WU Wenying, LI Ying, JIN Feifei, NI Zhiwei, ZHU Xuhui. Group Decision Making Model Based on Probabilistic Hesitant Fuzzy Information Aggregation Operations. , 2017, 30(10): 894-906.

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http://manu46.magtech.com.cn/Jweb_prai/CN/10.16451/j.cnki.issn1003-6059.201710004 或 http://manu46.magtech.com.cn/Jweb_prai/CN/Y2017/V30/I10/894

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