【摘 要】
：
在粗糙集理论的近似空间M=(U,R)中展开讨论,其目的是要把Pawlak粗糙逻辑中的公式进行推广,将其所涉及的论域从与U有关扩展到n个U的笛卡尔积U~n之上,并对这些推广的n元公式进
【机 构】
：
河南师范大学计算机与信息技术学院智能信息处理重点实验室,
论文部分内容阅读
在粗糙集理论的近似空间M=(U,R)中展开讨论,其目的是要把Pawlak粗糙逻辑中的公式进行推广,将其所涉及的论域从与U有关扩展到n个U的笛卡尔积U~n之上,并对这些推广的n元公式进行研究,讨论以Paw-lak粗糙逻辑中的5种逻辑值为基础,并在n元公式上对此进行推广定义,针对这些关于n元公式的粗糙逻辑值,从语义出发,研究n元公式之间的逻辑推理关系,其结果是经典逻辑中的一些逻辑推理的结论对于某些粗糙逻辑值仍然成立,但自然也增添新的性质。
The discussion of rough set theory in space M = (U, R) is to expand the formula in Pawlak’s rough logic and extend its universe of discourse from the U flute expanded to n U Cartesian U ~ n above, and to promote these n-element formula to study the Paw-lak rough logic to discuss the five kinds of logical values based on the n-element formula to promote this definition, for these on Starting from the semantics, we study the logical reasoning relations between the n-ary formulas. The result is that some conclusions of logical reasoning in classical logic still hold for some rough logic values, but naturally add new nature.
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