The q‐rung orthopair fuzzy set (qROFS) defined by Yager is a generalization of Atanassov intuitionistic fuzzy set and Pythagorean fuzzy sets. In this paper, we define the knowledge measure for qROFS by using the tangent inverse function. This is the first approach to quantify the knowledge associated with qROFS. The membership and nonmembership functions as well as the hesitancy margin are used to define the knowledge measure which makes it capable of considering both knowledge and fuzziness. The entropy measure which is the dual of the knowledge measure is also defined. The properties of the proposed knowledge measure with graphical explanations are discussed. An application of the proposed knowledge measure in multiattribute group decision making problem under confidence level approach is given.

中文翻译：

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q-rung orthopair 模糊集的知识测度

Yager 定义的 q-rung orthopair 模糊集 (qROFS) 是 Atanassov 直觉模糊集和勾股模糊集的推广。在本文中，我们通过使用切线反函数来定义 qROFS 的知识度量。这是量化与 qROFS 相关的知识的第一种方法。隶属和非隶属函数以及犹豫裕度用于定义知识度量，使其能够同时考虑知识和模糊性。还定义了作为知识度量的对偶的熵度量。讨论了所提出的具有图形解释的知识度量的属性。给出了所提出的知识度量在置信水平方法下的多属性群决策问题中的应用。