山西大学学报（自然科学版）2026，Vol.49Issue(1)：42-54,13.DOI:10.13451/j.sxu.ns.2025092
基于信息熵的灰色-可拓决策模型
A Grey-extension Decision Model Based on Information Entropy
摘要
Abstract
To address the issue of decision ambiguity in the matter-element extension decision model when handling those cases with small correlation differences,this paper proposes a grey-extension decision model based on information entropy.The model employs information entropy to evaluate the uncertainty contribution of the matter-element extension decision model and grey correlation analysis model to classification results,enabling more scientific decision analysis.By integrating the extension correlation function and grey correlation function,the model measures the correlation degree between samples and grades from both single-index and multi-index perspectives,calculates information entropy accordingly,and constructs a comprehensive correlation evaluation model via an information-entropy weighting strategy.In the empirical study on surrounding rock mass quality classification of four typical sections in the underground caverns of Bulungl-Gongur hydropower station,the proposed model achieved 100%classification accu-racy,outperforming other comparative models and methods.Furthermore,in four different domain applications including fitness club service capability evaluation,the proposed model's classification results showed a 100%consistency rate with actual situations.The correlation degrees exhibited better stability,demonstrating the model's excellent robustness.关键词
物元可拓决策模型/灰色关联分析/动态权重策略/围岩质量评价Key words
matter-element extension decision model/grey relational analysis/dynamic weighting strategy/surrounding rock quality evaluation分类
数理科学引用本文复制引用
赵聪,万仁霞,苗夺谦..基于信息熵的灰色-可拓决策模型[J].山西大学学报（自然科学版）,2026,49(1):42-54,13.基金项目
国家自然科学基金(62066001) （62066001）
宁夏科技领军人才项目(2022GKLRLX08) （2022GKLRLX08）
宁夏自然科学基金(2021AAC03203) （2021AAC03203）
