Fuzzy entropy concerning a fuzzy set computes the imprecision content of that set whereas the content of precision is evaluated by using the notion of fuzzy knowledge measure. In this paper, we suggest a two-parametric version of the knowledge measure in fuzzy settings. Further, we investigate its novelty and advantages from various viewpoints, such as attribute weight computation, ambiguity computation, and appropriate handling of the structured linguistic variables. We also introduce a two-parametric generalized fuzzy accuracy measure (GFAM) and demonstrate its application in pattern analysis. Additionally, we contrast the effectiveness of the suggested fuzzy accuracy measure with several existing compatibility measures. We also consider the Multiobjective Optimization on the basis of Ratio Analysis (MOORA) method of multiple attribute decision-making (MADM) based on the proposed two-parametric generalized fuzzy knowledge measure and two-parametric GFAM. We also contrast the MADM method with the conventional MOORA method.

中文翻译：

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二参数广义模糊知识测度与准确度测度及其应用

关于模糊集合的模糊熵计算该集合的不精确内容，而精确内容是通过使用模糊知识度量的概念来评估的。在本文中，我们提出了模糊设置中知识度量的双参数版本。此外，我们从不同的角度研究了它的新颖性和优势，例如属性权重计算、歧义计算和结构化语言变量的适当处理。我们还介绍了一种双参数广义模糊准确度度量 (GFAM)，并展示了其在模式分析中的应用。此外，我们将建议的模糊精度测量与几个现有的兼容性测量的有效性进行对比。我们还考虑了基于所提出的双参数广义模糊知识度量和双参数 GFAM 的多属性决策 (MADM) 的基于比率分析 (MOORA) 方法的多目标优化。我们还将 MADM 方法与传统的 MOORA 方法进行了对比。