In this communication, we propose a generalized fuzzy knowledge measure and prove its efficiency by comparing it with some existing entropies. We also propose a generalized fuzzy accuracy measure and show some of its properties. This accuracy measure may serve as a compatibility measure between two fuzzy sets and helpful in some specific situations. We introduce a generalized fuzzy knowledge and accuracy measure-based TOPSIS for multiple-attribute decision-making problems and presents its comparison with MOORA method, VIKOR method, and a compromise-type variable weight decision-making method. The application of the proposed TOPSIS approach in multiple-attribute decision-making (MADM) is demonstrated using a numerical example. We also investigate the application and efficiency of the generalized fuzzy accuracy in pattern recognition problems.

中文翻译：

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关于广义知识度量和广义精度度量及其在MADM和模式识别中的应用

在这种交流中，我们提出了一种广义的模糊知识测度，并通过将其与一些现有的熵进行比较来证明其有效性。我们还提出了一种广义的模糊精度测度，并显示了其一些特性。该准确性度量可以用作两个模糊集之间的兼容性度量，并且在某些特定情况下很有用。针对多属性决策问题，我们引入了一种基于广义模糊知识和精度度量的TOPSIS方法，并与MOORA方法，VIKOR方法和折衷型可变权重决策方法进行了比较。通过一个数值例子证明了所提出的TOPSIS方法在多属性决策（MADM）中的应用。我们还研究了广义模糊精度在模式识别问题中的应用和效率。