基于波斯医学脉诊的光电容积描记信号预测外周血管阻力的 Mamdani 与 Takagi-Sugeno 模糊系统比较评价

Comparative evaluation of Mamdani and Takagi-Sugeno fuzzy systems for predicting peripheral vascular resistance from photoplethysmogram signals using Persian medicine pulsology

  • 摘要:
    目的 对Mamdani与Takagi-Sugeno(TS)模糊推理系统在预测光电容积描记(PPG)信号所反映的外周血管阻力方面的性能进行比较评价,并整合了波斯医学(PM)脉诊中的诊断参数。
    方法 两种模糊推理系统均采用 MATLAB R2021b 实现,并基于来自 35 名健康志愿者的临床 PM 脉诊数据,采用留一法交叉验证(LOOCV)进行验证。数据集包括脉搏频率量表评分(1 – 6)和脉搏虚弱程度量表评分(1 – 4),以及相应的PPG衍生外周血管阻力指数(范围:0.019 – 0.983)。Mamdani系统包含 35 条规则,采用梯形和三角形隶属函数、单点模糊化器、乘积推理引擎以及质心解模糊化器。TS系统包含6条规则,配置为一阶模型,并采用高斯型输入隶属函数。系统性能通过平均绝对误差(MAE)、均方根误差(RMSE)和决定系数(R2)进行定量评价。两种系统性能差异的统计学显著性采用配对 t 检验进行评估。
    结果 Mamdani推理系统的预测准确性明显高于TS系统。比较分析显示,Mamdani系统相较于TS系统具有显著优势:Mamdani 系统的 MAE为 0.007 63 ± 0.001 20,RMSE 为 0.008 58 ± 0.001 50,R2 为 0.998 40 ± 0.000 80;而 TS 系统的MAE为 0.015 40 ± 0.002 10,RMSE 为 0.022 48 ± 0.002 80,R2 为 0.989 20 ± 0.001 50。基于 35 个LOOCV折的绝对误差进行配对 t 检验,结果表明两种系统之间的差异具有统计学意义 t (34) = 5.07,P < 0.001。
    结论 Mamdani系统可能适用于某些对精度要求较高的分析任务。两种系统均显示出在整合医学诊断和可穿戴健康监测应用中的实用价值,可用于健康个体,并为波斯医学脉诊提供一种现代计算化转化路径。

     

    Abstract:
    Objective To perform a comparative evaluation of Mamdani and Takagi-Sugeno (TS) fuzzy inference systems for predicting peripheral vascular resistance from photoplethysmogram (PPG) signals, incorporating diagnostic parameters from Persian medicine (PM) pulsology.
    Methods Both fuzzy inference systems were implemented in MATLAB R2021b and validated using leave-one-out cross-validation (LOOCV) on clinical PM pulse diagnostic data collected from 35 healthy volunteers. The dataset included pulse frequency scale (1 – 6) and weakness scale (1 – 4) alongside corresponding PPG-derived peripheral vascular resistance indices (range: 0.019 – 0.983). The Mamdani system (with 35 rules) was designed using trapezoidal and triangular membership functions, a singleton fuzzifier, a product inference engine, and a centroid defuzzifier. The TS system (with 6 rules) was configured as a first-order model with Gaussian input membership functions. System performance was quantitatively evaluated using mean absolute error (MAE), root mean square error (RMSE), and the coefficient of determination (R2). Statistical significance of performance differences was assessed using a paired t test.
    Results The Mamdani inference system showed much higher prediction accuracy than the TS system. Comparative analysis revealed a substantial advantage for the Mamdani system (MAE = 0.007 63 ± 0.001 20, RMSE = 0.008 58 ± 0.001 50, R2 = 0.998 40 ± 0.000 80) over the TS system (MAE = 0.015 40 ± 0.002 10, RMSE = 0.022 48 ± 0.002 80, R2 = 0.989 20 ± 0.001 50). A paired t test comparing the absolute errors of the 35 LOOCV folds confirmed statistical significance t (34) = 5.07, P < 0.001.
    Conclusion The findings suggest the potential suitability of the Mamdani system for certain precision-oriented analytical tasks. Both systems exhibit practical utility for integrative medicine diagnostics and wearable health-monitoring applications for healthy individuals, enabling a modern computational translation of PM pulsology.

     

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