正则剩余格上的模糊理想基  

Fuzzy Ideal Bases of Regular Residuated Lattices

作　　者：刘杰[1] 吴洪博[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《模糊系统与数学》2012年第5期94-99,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10871121)

摘　　要：首先,在正则剩余格中引入模糊理想基的概念,介绍了模糊理想基的一些重要性质,并且利用这些性质,给出了模糊理想基的三种等价形式;其次,结合具体实例讨论了模糊理想基与模糊理想的关系;最后,给出由模糊集生成模糊理想基及由模糊理想基生成模糊理想的方法。Firstly, the notion of fuzzy ideal bases are introduced, some important properties of fuzzy ideal bases are discussed, with the help of these properties, and three equivalent characterizations of the fuzzy ideal bases are given with the help of these properties. Secondly, the relationship between fuzzy ideal bases and fuzzy ideals is investigated by combining specific example. Finally, the ways that fuzzy ideal bases are generated by fuzzy sets and fuzzy ideals are generated by fuzzy ideal bases are given.

关 键 词：正则剩余格 模糊理想基 模糊理想 模糊集 

分 类 号：O141[理学—数学]