引用本文:许立波,李兴森,郭研.三参数区间数下非线性可拓关联度决策方法[J].控制与决策,2019,34(10):2203-2212
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三参数区间数下非线性可拓关联度决策方法
许立波1,李兴森2, 郭研1
(1. 浙江大学宁波理工学院计算机与数据工程学院,浙江宁波315000;2. 广东工业大学可拓学与可拓创新方法研究所,广州510006)
摘要:
针对属性值为三参数区间数和权重未知的多属性决策问题,提出一种新的基于非线性可拓简单关联度的多属性决策方法和框架.该方法基于可拓简单关联函数提出非线性可拓三参数区间关联度的计算方法,通过定义区间映射变换算子,将不同类型指标的关联度计算均变换为效益型指标的单调递增关联度计算.该方法内含偏好态度系数的设置以反映决策者态度倾向带来的决策不确定性,而且能够体现人们进行决策评价时的非线性思维.最后通过算例分析表明所提出方法的合理性和稳定性.
关键词:  决策  可拓学  三参数区间数  关联度
DOI:10.13195/j.kzyjc.2018.0164
分类号:N945
基金项目:浙江省自然科学基金项目(LY16G010010,LY18F020001);宁波市创新团队项目(2016C11024).
Nonlinear extension dependent degree method to three-parameter interval number decision making
XU Li-bo1,LI Xing-sen2,GUO Yan1
(1. College of Computer and Data Engineering,Zhejiang University Ningbo Institute of Technology,Ningbo315000,China;2.Research Institute of Extenics and Innovation Methods,Guangdong University of Technology,Guangzhou510006,China)
Abstract:
In view of the multi-attribute decision making problem with attribute values being three-parameter interval number and weights unknown, a new decision making approach based on nonlinear extension dependent degree is proposed. According to traditional extension simple dependent functions, it proposes a nonlinear extension dependent function for three-parameter interval number. Then, through an interval mapping transformation operator, the processes of computing dependent degree under different types of attributes are transformed to the simple and monotonous process under benefit-type attribute. The method can not only reflect decision uncertainty from risk preference of a decision maker by adjusting its attitude coefficients, but also express a nonlinear thinking model in the evaluation of people. Finally, an example is presented to illustrate the effectiveness and stability of the proposed method.
Key words:  decision making  extenics  three-parameter interval number  dependent degree

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