半群中的粗理想  

Rough Ideals in Semigroups

作　　者：肖光灿[1] 

机构地区：[1]西南科技大学理学院,四川绵阳621010

出　　处：《电子科技大学学报》2005年第4期562-565,共4页Journal of University of Electronic Science and Technology of China

摘　　要：在近似(集)概念的基础上,提出了半群中的粗子集、粗直积和粗左(右、双边)理想,以及粗双理想,并对它的一些代数结构作出定性的描述,讨论了粗集理论在半群的应用,丰富了半群中的粗集理论。Rough set theory researched problems of tentative.uncontinuity and uncomplete in the messages space of knowledge. And it belives that the knowledge appears in people＇s ability of classification .This paper mainly discussed the usape in rough set theory in semigroups .Based on the qpproxion ations comcept, it brought in the rough subest, rough Descarte＇s product, left（right, double-sides）rough ideal and bi-rough-ideal in the semigroups .It also analyzed some of its algebra structure qualitatively. Thus it enriched rough set theory in semigroups.

关 键 词：半群 同余关系 粗子集 粗直积 粗理想 

分 类 号：O159[理学—数学]