摘要
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Lukasiew icz三值代数.
The algebraic propeties of rough sets in approximate space were discussed. The definition of rough union, rough intersection, rough complement, pseudocomplement and dual pseudocomplement on rough sets were given respectively. Furthemore, the algebraic properties of rough sets were discussed on various ways, such as being bounded, distributive and atomic lattices, semsimple Neslon algebra, double Stone algebra, even Lukasiewicz trivaluent algebra.
出处
《长沙电力学院学报（自然科学版）》
2006年第4期91-94,共4页
JOurnal of Changsha University of electric Power:Natural Science
基金
国家自然科学基金(70501006)
