模糊软格和模糊软理想  

Fuzzy Soft Lattices and Fuzzy Soft Ideals

作　　者：李京效 辛小龙[1] 贺鹏飞[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《模糊系统与数学》2014年第2期69-75,共7页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅专项科研基金资助项目(08JK472)

摘　　要：把模糊软集理论运用到格上,引入了模糊软格的概念,进一步提出格的模糊软子格、模糊软理想以及模糊软格的模糊软理想等,并通过α-水平截集给出了模糊软格和模糊软理想的等价刻画,最后研究了它们的一些基本性质。In this paper, the concept of fuzzy soft lattice is introduced. In the meantime, fuzzy soft sublattice of fuzzy soft lattice, fuzzy soft ideal and fuzzy soft ideal of fuzzy soft lattice are studied. Then, the equivalent conditions of fuzzy soft lattice and fuzzy soft ideal are given by using α-level set. Finally, some related properties are investigated.

关 键 词：模糊软格 模糊软子格 模糊软理想 α-水平截集 

分 类 号：O159[理学—数学]