半群中的粗准素理想与粗模糊准素理想  

Rough primary ideals and rough fuzzy primary ideals in semi-groups

作　　者：卢鹏[1] 吴建乐[1] 沈洁琼[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《成都信息工程学院学报》2009年第6期605-607,共3页Journal of Chengdu University of Information Technology

基　　金：国家自然科学基金资助项目(60474022)

摘　　要：给出了半群中的粗准素理想与粗模糊准素理想的概念,证明了在完备同余关系下半群中准素理想的粗糙集是准素理想.利用截集意义下,截集的粗糙集与粗糙集截集的关系,证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想。The concepts of the rough primary ideal and fuzzy rough primary idea in a semi-group are introduced. Under the condition of the complete congruence relation a rough set of a primary ideal in a semi-group is proved to be its primary ideal. In the sense of the cutest the relation between the rough set of a cutest and the cutest of a rough set is used to prove that a fuzzy rough set of a fuzzy primary ideal in a semi-group is its fuzzy primary ideal.

关 键 词：模糊数学 粗糙群理论 粗糙集 半群 准素理想 粗准素理想 粗模糊准素理想 

分 类 号：O159[理学—数学]