Hybrid conditional entropy and multi-attribute decision making of incomplete decision information system

被引：0
|
作者：
Wang Q. [1 ,2 ]
Zhang X. [1 ,2 ]
Lü Z. [3 ]
机构：
[1] School of Mathematical Sciences, Sichuan Normal University, Chengdu
[2] Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu
[3] School of Management, Chengdu University of Information Technology, Chengdu
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2022年 / 42卷 / 12期
基金：
中国国家自然科学基金;
关键词：
hybrid conditional entropy; incomplete decision information system; multi-attribute decision making; rough set; sorting algorithm; uncertainty measurement;
D O I：
10.12011/SETP2022-0377
中图分类号：
学科分类号：
摘要：
Multi-attribute decision making of incomplete decision information system (IDIS) has application signification, and it mainly relies on uncertainty measurement. Aiming at IDIS, the conditional entropy and related decision sorting method have information singleness, so the hybrid conditional entropy and corresponding decision sorting methods are proposed. At first, the conditional entropy is hierarchically decomposed, while the dependency degree is introduced; two new types of conditional entropy with direct and hierarchical fusion are constructed, and their properties of granulation monotonicity and measurement sizes are acquired. Then, two multi-attribute decision sorting algorithms are designed by two types of hybrid conditional entropy, and they exhibit effectiveness and improvements in contrast to five sorting ways. Finally, decision ranking experiments are implemented by real data sets, and the new sorting strategies are verified to achieve consistent effects for the existing algorithm based on conditional entropy. The hybrid conditional entropy hierarchically combines the information and algebra representations, and it improves the current conditional entropy to comprehensively characterize the system uncertainty, so its rational sorting profits multi-attribute decision making applications in IDIS. © 2022 Systems Engineering Society of China. All rights reserved.
引用
收藏
页码：3401 / 3411
页数：10
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