[1]郑婉容,郑婷婷,张毛银.一种新的二型模糊熵在多属性决策中的应用[J].南京理工大学学报(自然科学版),2019,43(04):381-386.[doi:10.14177/j.cnki.32-1397n.2019.43.04.001]
 Zheng Wanrong,Zheng Tingting,Zhang Maoyin.Application of a new type-2 fuzzy entropy in multi-attributedecision making[J].Journal of Nanjing University of Science and Technology,2019,43(04):381-386.[doi:10.14177/j.cnki.32-1397n.2019.43.04.001]
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一种新的二型模糊熵在多属性决策中的应用()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
43卷
期数:
2019年04期
页码:
381-386
栏目:
出版日期:
2019-08-24

文章信息/Info

Title:
Application of a new type-2 fuzzy entropy in multi-attributedecision making
文章编号:
1005-9830(2019)04-0381-06
作者:
郑婉容郑婷婷张毛银
安徽大学 数学科学学院,安徽 合肥 230601
Author(s):
Zheng WanrongZheng TingtingZhang Maoyin
School of Mathematical Sciences,Anhui University,Hefei 230601,China
关键词:
二型模糊集 二型模糊熵 余弦函数 得分矩阵 多属性决策
Keywords:
type-2 fuzzy sets type-2 fuzzy entropy cosine function scoring matrix multi-attribute decision
分类号:
TP18
DOI:
10.14177/j.cnki.32-1397n.2019.43.04.001
摘要:
为了度量二型模糊集的不确定性信息并解决以二型模糊集为信息环境的多属性决策问题,该文首先基于二型模糊熵的公理化准则,利用余弦函数定义一个新的二型模糊熵公式。该公式不仅将二型模糊集的犹豫性和模糊性皆考虑在内,而且利用余弦函数的单调性与对称性容易比较两个二型模糊集之间熵的大小。其次在决策过程中考虑决策者的风险态度引入风险偏好函数,同时考虑主隶属度与次隶属度的交叉影响给出新的得分矩阵,并结合熵构建基于属性权重完全未知的非线性优化模型来观察风险偏好对属性权重的影响。最后通过一个实例分析证明了该决策模型的可行性与稳定性。
Abstract:
In order to measure the uncertainty information of type-2 fuzzy sets and solve the multi-attribute decision-making problem with type-2 fuzzy sets as the information environment,based on the axiomatization criterion of the type-2 fuzzy entropy,a new type-2 fuzzy entropy formula is defined by the cosine function. This formula not only takes into account the hesitability and ambiguity of type-2 fuzzy sets,but also more easily compares the size of entropy between two type-2 fuzzy sets based on the monotonicity and symmetry of cosine functions. Considering the risk attitude of decision makers in the decision-making process,the risk preference function is introduced,and the new scoring matrix is given by considering the cross-effect of the primary membership degree and the sub-degree membership. Combining with an entropy,a nonlinear optimization model based on completely unknown attribute weights is constructed to observe the influence of risk preference on attribute weights. An example analysis proves the feasibility and stability of the decision model.

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备注/Memo

备注/Memo:
收稿日期:2019-04-23 修回日期:2019-05-26
基金项目:国家自然科学基金(61806001); 安徽省自然科学基金(1708085MF163)
作者简介:郑婉容(1992-),女,硕士,主要研究方向:粒计算与知识发现,E-mail:m15205694534@163.com; 通讯作者:郑婷婷(1978-),女,博士,副教授,主要研究方向:粒计算与知识发现,E-mail:tt-zheng@163.com。
引文格式:郑婉容,郑婷婷,张毛银. 一种新的二型模糊熵在多属性决策中的应用[J]. 南京理工大学学报,2019,43(4):381-386.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2019-09-30