Duckstein L, Blinowska A, Verroust J
Service d'Informatique Médicale, Hôpital Broussais, Paris, France.
IEEE Trans Biomed Eng. 1995 Aug;42(8):786-92. doi: 10.1109/10.398639.
A methodology which accounts for uncertainty or imprecision in experimental observations and both norm and pathology definitions is developed on the basis of a distance measure between fuzzy numbers. These fuzzy numbers may represent, respectively, the measurements, norm, and pathology. The distance measure, called normalized fuzzy pathology index (NFPI), evaluates the difference of distance between observed experimental values for a given patient and norm on the one hand, and pathology on the other hand. The NFPI characterizes patient state as a continuous index; however, to conform to medical usage, categories of values are defined. Each of these categories corresponds to a linguistic variable. The case study used to illustrate the methodology is the electrodiagnosis of peripheral polyneuropathy in diabetic patients. Here, four initial linguistic categories are defined by a physician, namely: normal state, borderline state, clear-cut, and severe pathology. The NFPI is calculated in three cases that provide a sensitivity analysis on measurement fuzziness and distance function weighting. The model is calibrated using 203 cases and validated using 291 different cases. The results correspond very closely to the physician's diagnosis. The loss of information in discretizing the continuous state of patients is discussed. Transferring this fuzzy approach to other cases where the concept of distance is relevant offers no difficulty.
基于模糊数之间的距离度量,开发了一种方法,该方法考虑了实验观察以及正常和病理定义中的不确定性或不精确性。这些模糊数可分别表示测量值、正常状态和病理状态。这种距离度量称为归一化模糊病理指数(NFPI),一方面评估给定患者的观察实验值与正常状态之间的距离差异,另一方面评估与病理状态之间的距离差异。NFPI将患者状态表征为一个连续指数;然而,为了符合医学用途,定义了值的类别。这些类别中的每一个都对应一个语言变量。用于说明该方法的案例研究是糖尿病患者周围多发性神经病的电诊断。在此,医生定义了四个初始语言类别,即:正常状态、临界状态、明确状态和严重病理状态。在三种情况下计算NFPI,这对测量模糊性和距离函数加权进行了敏感性分析。该模型使用203个案例进行校准,并使用291个不同案例进行验证。结果与医生的诊断非常接近。讨论了在离散化患者连续状态时的信息损失。将这种模糊方法应用于其他与距离概念相关的案例没有困难。