This paper has unfolded from the study on rough sets, mainly from pre-rough algebra. Here we compare between implications of Łukasiewicz (Monteiro) 3-valued algebra and pre-rough algebra. This study aids in presenting an alternative axiomatization of Łukasiewicz (Monteiro) 3-valued algebra.

中文翻译：

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基于Łukasiewicz（Monteiro）3值代数和粗糙前代数的含意研究

本文是从对粗糙集的研究中展开的，主要是从粗糙前代数开始的。在这里，我们比较了Łukasiewicz（Monteiro）3值代数和粗前代数的含意。这项研究有助于提出Łukasiewicz（Monteiro）3值代数的另一种公理化。