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基于邦费罗尼均值的犹豫三角模糊信息聚合算子及其在多属性决策中的应用

Hesitant triangular fuzzy information aggregation operators based on Bonferroni means and their application to multiple attribute decision making.

作者信息

Wang Chunyong, Li Qingguo, Zhou Xiaoqiang, Yang Tian

机构信息

College of Mathematics and Econometrics, Hunan University Changsha, Hunan 410082, China.

College of Mathematics and Econometrics, Hunan University Changsha, Hunan 410082, China ; College of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, China.

出版信息

ScientificWorldJournal. 2014;2014:648516. doi: 10.1155/2014/648516. Epub 2014 Jul 16.

DOI:10.1155/2014/648516
PMID:25140338
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4128225/
Abstract

We investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferroni means and discuss their basic properties. Some existing operators can be viewed as their special cases. Next, we apply the proposed operators to deal with multiple attribute decision-making problems under hesitant triangular fuzzy environment. Finally, an illustrative example is given to show the developed method and demonstrate its practicality and effectiveness.

摘要

我们研究具有犹豫三角模糊信息的多属性决策（MADM）问题。首先，介绍犹豫三角模糊元素的定义和一些运算定律。然后，基于Bonferroni均值开发一些犹豫三角模糊聚合算子，并讨论它们的基本性质。一些现有的算子可视为它们的特殊情况。接下来，我们应用所提出的算子来处理犹豫三角模糊环境下的多属性决策问题。最后，给出一个示例来说明所提出的方法，并证明其实用性和有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b541/4128225/ba2c3d17ea52/TSWJ2014-648516.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b541/4128225/ba2c3d17ea52/TSWJ2014-648516.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b541/4128225/ba2c3d17ea52/TSWJ2014-648516.001.jpg

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本文引用的文献

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Intuitionistic fuzzy Bonferroni means.直觉模糊邦费罗尼均值
IEEE Trans Syst Man Cybern B Cybern. 2011 Apr;41(2):568-78. doi: 10.1109/TSMCB.2010.2072918. Epub 2010 Sep 27.