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Process capability analyses based on fuzzy measurements and fuzzy control charts

机译:基于模糊度量和模糊控制图的过程能力分析

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摘要

Process performance can be analyzed by using process capability indices (PCIs), which are summary statistics to depict the process location and dispersion successfully. Although they are very usable statistics, they have some limitations which prevent a deep and flexible analysis because of the crisp measurements and specification limits (SLs). If the specification limits or measurements are expressed by linguistic variables, traditional PCIs cause some misleading results. In this paper, the fuzzy set theory is used to add more information and flexibility to process capability analyses (PCA). For this aim, linguistic definition of the quality characteristic measurements are converted to fuzzy numbers and fuzzy PCIs are produced based on these measurements and fuzzy specification limits (SLs). Also fuzzy control charts are derived for fuzzy measurements of the related quality characteristic. They are used to increase the accuracy of PCA by determining whether or not the process is in statistical control. The fuzzy formulation of the indices C_p and C_(Pk), which are the most used two traditional PCIs, are produced when SLs and measurements are both triangular (TFN) and trapezoidal fuzzy numbers (TrFN). The proposed methodologies are applied in a piston manufacturer in Konya's Industrial Area, Turkey.
机译:可以使用过程能力指数(PCI)来分析过程性能,这些能力指数是摘要统计量,可以成功地描述过程位置和分散情况。尽管它们是非常有用的统计信息,但是由于其清晰的测量和规格限制(SL),它们具有一些局限性,无法进行深入而灵活的分析。如果规格极限或度量值是由语言变量表示的,则传统的PCI会导致某些误导性的结果。在本文中,模糊集理论用于为过程能力分析(PCA)添加更多信息和灵活性。为此,将质量特征量度的语言定义转换为模糊数,并基于这些量度和模糊规范极限(SL)生成模糊PCI。还导出模糊控制图,以对相关质量特性进行模糊测量。它们通过确定过程是否处于统计控制中来提高PCA的准确性。当SL和测量值均为三角形(TFN)和梯形模糊数(TrFN)时,将生成索引C_p和C_(Pk)的模糊公式,这是最常用的两个传统PCI。所提议的方法已应用于土耳其科尼亚工业区的活塞制造商。

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