基于TFNCD算子的三角模糊数多属性群决策

doi:10.3969/j.issn.1001-506X.2019.09.20

系统工程与电子技术 ›› 2019, Vol. 41 ›› Issue (9): 2065-2071.doi: 10.3969/j.issn.1001-506X.2019.09.20

基于TFNCD算子的三角模糊数多属性群决策

江登英, 张徐军

武汉理工大学理学院, 湖北武汉 430070

出版日期:2019-08-27 发布日期:2019-08-20

Multi-attribute group decision-making method with triangular fuzzy numbers based on the TFNCD operator

JIANG Dengying, ZHANG Xujun

School of Science, Wuhan University of Technology, Wuhan 430070, China

Online:2019-08-27 Published:2019-08-20

摘要/Abstract

摘要：

针对属性权重和专家权重全部未知的三角模糊数(triangular fuzzy number,TFN)多属性群决策问题,在TFN熵的基础上构造了确信度指标来量化对决策信息的信任程度,构建了TFN确信度(TFN certitude degree,TFNCD)算子,并证明了其置换不变性、幂等性和有界性等性质,结合支持度确定专家权重,提出了基于TFNCD算子的属性信息集结新方法。最后,通过算例的对比分析验证了TFNCD算子及其集结方法的有效性,该方法充分考虑了TFN类型的数据特征和两种权重完全未知的情况,且属性信息集结更加客观高效,计算相对简便,为TFN多属性决策问题提供了新的信息集结方式和解决思路。

关键词: 三角模糊数, 三角模糊数确信度算子, 多属性群决策, 属性权重, 专家权重

Abstract:

With regarding to the multi-attribute group decision-making problem of the triangular fuzzy number (TFN) with the attribute weights and experts weights being unknown, the confidence index is constructed based on the TFN entropy to quantify the degree of certitude to the decision information, and the TFN certitude degree (TFNCD) operator is introduced and its properties, such as the invariance of displacement transformation, the idempotence and the boundedness are proved. And the expert weights are determined combined with the degree of support. Finally, a method of attribute information aggregation is proposed, and the effectiveness of the TFNCD operator and the aggregated approach are verified by the empirical analysis. Moreover, the approach is built on the independence of experts, where the data features of the TFNs and the completely unknown weights of attributes and experts are fully considered, resulting in the objectivity and high efficiency in the information aggregation with relatively reduced computation. Therefore, it provides an information aggregation mode and solution to the multi-attribute group decision-making problem with TFN.

Key words: triangular fuzzy number (TFN), TFN certitude degree (TFNCD) operator, multi-attribute decision-making, attribute weights, experts weights

江登英, 张徐军. 基于TFNCD算子的三角模糊数多属性群决策[J]. 系统工程与电子技术, 2019, 41(9): 2065-2071.

JIANG Dengying, ZHANG Xujun. Multi-attribute group decision-making method with triangular fuzzy numbers based on the TFNCD operator[J]. Systems Engineering and Electronics, 2019, 41(9): 2065-2071.

[1]	王雯琦, 江登英. 基于可能度的语言直觉模糊PROMETHEE多属性群决策[J]. 系统工程与电子技术, 2022, 44(8): 2581-2592.
[2]	邓嘉宁, 吴宇, 许舒婷, 苟进展. 基于模糊贝叶斯-ANP舰载机出动回收综合评估[J]. 系统工程与电子技术, 2022, 44(11): 3423-3432.
[3]	胡悦, 江登英, 李贺. 基于双向投影法的概率语言多属性群决策[J]. 系统工程与电子技术, 2020, 42(9): 2052-2059.
[4]	雷杰, 徐晓滨, 徐晓健, 常雷雷. 基于置信规则库的并发故障诊断方法[J]. 系统工程与电子技术, 2020, 42(2): 497-505.
[5]	王伟明, 徐海燕. 混合信息下的多属性大规模群体决策方法[J]. 系统工程与电子技术, 2020, 42(11): 2560-2569.
[6]	谭旭, 吴俊江, 毛太田, 谭跃进. 基于三角模糊数犹豫直觉模糊集的多属性智能决策[J]. 系统工程与电子技术, 2017, 39(4): 829-836.
[7]	黄智力, 罗键. 三角模糊数型不确定多指标决策的相似规划模型及其应用[J]. 系统工程与电子技术, 2016, 38(5): 1100-.
[8]	侯西倩1,2, 寇英信1, 李战武1, 徐安1, 葛亚维1, 陈通1. #br# 基于区间直觉模糊集的空战训练命中评估群决策[J]. 系统工程与电子技术, 2016, 38(12): 2785-2789.
[9]	陈云翔, 蔡忠义, 张诤敏, 项华春. 基于证据理论和直觉模糊集的群决策信息集结方法[J]. 系统工程与电子技术, 2015, 37(3): 594-598.
[10]	张倩，陈桂明，颜宁，苏保忠. 直觉模糊和粗集的复合多属性保障力量优选[J]. Journal of Systems Engineering and Electronics, 2013, 35(8): 1697-1701.
[11]	马德仲,周真,于晓洋,樊尚春,邢维巍,郭占社. 基于模糊概率的多状态贝叶斯网络可靠性分析[J]. Journal of Systems Engineering and Electronics, 2012, 34(12): 2607-2611.
[12]	孙世权, 高淑萍, 梁原, 边疆. 基于数据融合技术的多属性群决策方法[J]. Journal of Systems Engineering and Electronics, 2012, 34(10): 2094-2097.
[13]	刘健, 刘思峰, 周献中, 陈素娜. 基于相似关系的多属性决策问题研究[J]. Journal of Systems Engineering and Electronics, 2011, 33(5): 1069-.
[14]	马健，孙秀霞. 比较法确定多属性决策问题属性权重的灵敏度分析[J]. Journal of Systems Engineering and Electronics, 2011, 33(3): 585-589.
[15]	戚筱雯,梁昌勇,曹清玮,丁勇. 区间直觉模糊多属性群决策自收敛算法[J]. Journal of Systems Engineering and Electronics, 2011, 33(1): 110-0115.

基于TFNCD算子的三角模糊数多属性群决策

Multi-attribute group decision-making method with triangular fuzzy numbers based on the TFNCD operator

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价