粗糙集的两种新型算子及其Boolean代数性质

Journal of Applied Sciences ›› 2004, Vol. 22 ›› Issue (4): 503-508.

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Boolean Algebra Based on the Two New Operations in the Rough Set Theory

ZHANG Hua-guang, LIANG Hong-li

School of Information Sciences & Engineering, Northeastern University, Shenyang 110004, China

Received:2003-09-14 Revised:2003-12-15 Online:2004-12-31 Published:2004-12-31

Abstract

Abstract: In this paper, two new operators are defined and the algebra properties of the rough set based on these two operators are discussed. The operations of union, intersection and complement based on the two operators prove that the complement of the rough set under this definition is Boolean complement.

Key words: uncertain decrement operator, Boolean complement, Boolean algebra, RST, basic factor of inducing rough, correlation basic factor of inducing rough, certain increment operator

CLC Number:

TP18

ZHANG Hua-guang, LIANG Hong-li. Boolean Algebra Based on the Two New Operations in the Rough Set Theory[J]. Journal of Applied Sciences, 2004, 22(4): 503-508.

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Boolean Algebra Based on the Two New Operations in the Rough Set Theory

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