基于加权犹豫Frank几何算法的决策模型  

Decision making model based on weighted hesitant Frank geometric algorithm

作　　者：马庆功 MA Qinggong(Huaide College,Changzhou University,Changzhou,Jiangsu 213016,China)

机构地区：[1]常州大学怀德学院,江苏常州213016

出　　处：《计算机工程与应用》2018年第24期123-127,155,共6页Computer Engineering and Applications

基　　金：江苏省高校自然科学基金面上项目(No.16KJB520001);泰州市科技支撑计划(社会发展)指导性项目;泰州市教育局产教融合项目

摘　　要：加权犹豫模糊集是一种广义的犹豫模糊集,其可以更准确和全面地刻画决策信息。而Frank三角模运算能够挖掘多个输入参数值间的相互关系。基于Frank三角模思想,在加权犹豫模糊环境下,提出了一种加权犹豫Frank几何平均算法的群决策模型。首先,运用Frank三角模定义了加权犹豫模糊基本运算法则,并构建了新的得分函数;接着,提出了加权犹豫Frank几何平均(WHFGA)算子,分析了WHFGA算子关于参数r的相关性质;最后,基于提出的WHFGA算子,建立了加权犹豫模糊多属性决策模型,并通过算例进行分析。实验结果表明,WHFGA算子具有良好的内在一致性。Weighted hesitant fuzzy set is a generalized hesitant fuzzy set, which can more accurate and comprehensive describe decision information. The Frank norm operations can mine the relationship between multiple input parameter values. Based on the Frank norm, this paper develops a weighted hesitant fuzzy group decision making model based on the weighted hesitant Frank geometric average operator. Firstly, the new weighted hesitant fuzzy basic operations are introduced by using Frank norm, and a novel score function is constructed. Then, the Weighted Hesitant Frank Geometric Average （WHFGA） operator is proposed, and the related properties of WHFGA operator with respect to parameter r are studied. Finally, based on the WHFGA operator, a weighted hesitant fuzzy multi-attribute group decision making model is designed, and an example is provided to illustrate that the WHFGA operator has excellent internal consistency.

关 键 词：加权犹豫模糊集 Frank三角模 加权犹豫Frank几何平均算子 决策模型 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]