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首页> 外文期刊>International journal of machine learning and cybernetics >Uncertainty measures in rough algebra with applications to rough logic
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Uncertainty measures in rough algebra with applications to rough logic

机译：粗糙代数中的不确定性度量及其在粗糙逻辑中的应用

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The present paper is devoted to the measurement of uncertainty in rough algebra. Specifically, we employ the probability measure on the set of homomorphism of pre-rough algebra into {0,1/2, 1} to present the graded version of rough truth value for elements in pre-rough algebra, which leads to the definition of rough (upper, lower) truth degree. These notions are subsequently used to introduce some other types of uncertainty measures including roughness degree, accuracy degree, rough inclusion degree, etc. A comparative study is conducted between these proposed uncertainty measures and the existing notions in rough logic and it is shown that the obtained results in She et al. (Fundam Inform 107:1-17, 2011) can be regarded as a special case of the present paper.
机译：本文致力于粗糙代数中不确定性的度量。具体来说，我们将前粗糙代数的同态集设为{0,1 / 2，1}的概率测度用于给出前粗糙代数中元素的粗糙真值的分级版本，从而得出了粗略（较高，较低）的真实度。这些概念随后被用于引入其他类型的不确定性度量，包括粗糙度，准确度，粗糙包含度等。对这些提议的不确定性度量与粗糙逻辑中的现有概念进行了比较研究，结果表明， She等人的结果。 （Fundam Inform 107：1-17，2011）可被视为本论文的特例。

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