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Issue:
The Algebraic Property of Rough Sets
Author(s):
YI Kui-ying
,
LIU Wen-jun
Pages:
91
-
94
Year:
2006
Issue:
4
Journal:
JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(NATURAL SCIENCE)
Keyword:
粗糙集
;
Nelson代数
;
双Stone代数
;
Lukasiewicz三值代数
;
R0-代数
;
Abstract:
讨论了近似空间中粗糙集的代数性质,给出了粗糙并、交、补的定义,并定义了粗糙集的伪补元、对偶伪补元.且从多方面研究了粗糙集的代数性质,如:它是一个有界分配的原子格、半单的Neslon代数、双Stone代数,甚至是Lukasiewicz三值代数.
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