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基于信息熵的灰色-可拓决策模型OA

A Grey-extension Decision Model Based on Information Entropy

中文摘要英文摘要

为解决物元可拓决策模型在处理关联度差异较小时决策结果模糊的问题,本文提出了一种基于信息熵的灰色-可拓决策模型,该模型通过信息熵评估物元可拓决策模型和灰色关联分析模型对分类结果的不确定性贡献,从而实现更科学的决策分析.模型结合了可拓关联函数和灰色关联函数,分别从单指标、多指标角度刻画样本与各等级之间的关联程度,并据此计算信息熵,最后,通过信息熵权重策略构建综合关联度评价模型.在布伦口-公格尔水电站地下洞室4个典型标段围岩质量分类评价的实证研究中,该模型实现了分类准确率100%,优于其他对比模型和方法.此外,该模型在健身俱乐部服务能力评价等4个跨领域应用中,其分类结果与实际情况的一致率也均达到100%,且关联度具有更好的稳定性,展现了所提出模型具有的良好鲁棒性.

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.

赵聪;万仁霞;苗夺谦

北方民族大学 数学与信息科学学院,宁夏 银川 750021北方民族大学 数学与信息科学学院,宁夏 银川 750021||宁夏智能信息与大数据处理重点实验室,宁夏 银川 750021宁夏智能信息与大数据处理重点实验室,宁夏 银川 750021||同济大学 电子与信息工程学院,上海 201804

数理科学

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

matter-element extension decision modelgrey relational analysisdynamic weighting strategysurrounding rock quality evaluation

《山西大学学报(自然科学版)》 2026 (1)

42-54,13

国家自然科学基金(62066001)宁夏科技领军人才项目(2022GKLRLX08)宁夏自然科学基金(2021AAC03203)

10.13451/j.sxu.ns.2025092

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