亚BCI-代数的新型软理想  

A New Type of Soft Ideals of Weak-BCI-algebras

作　　者：黄昱[1] 廖祖华[2] HUANG Yu;LIAO Zu-hua(Wuxi Taihu University,Wuxi214064,China;School of Science,Jiangnan University,Wuxi2i4122,China)

机构地区：[1]无锡太湖学院,江苏无锡214064 [2]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2018年第5期55-62,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11401259;61170121);江苏省自然科学基金资助项目(BK20151117);无锡太湖学院自然科学基金资助项目(16WUNS006)

摘　　要：将软集的参数集赋予亚BCI-代数的代数结构,提出亚BCI-代数的新型软理想的概念,当U=[0,1]时,就得到了亚BCI-代数的犹豫模糊理想的概念。利用软子集、软集的限制交、且运算以及且运算的投影,研究了亚BCI-代数的新型软理想的基本性质。接着,运用对偶软集和水平集的方法给出它的等价刻画。最后,研究亚BCI-代数的新型软理想的同态像和原像的性质。In this paper,we introduce the notion of a new type of soft ideals of Weak-BCI-algebras, endow a parameter set as a Weak-BCI-algebra.When U=[0,1],the notion of the hesitant fuzzy ideals of Weak-BCI-algebras is given.Then basic properties of a new type of soft ideals of Weak-BCI-algebras are discussed by using soft subset,restricted intersection,AND operation and the projection of AND operation of two soft sets.Besides,by applying the dual soft sets and level set,the equivalent characterizations of a new type of soft ideals of Weak-BCI-algebras are given.Furthermore,we investigate the properties of the homomorphism image and inverse image of a new type of soft ideals of Weak-BCI-algebras.

关 键 词：软集 亚BCI-代数 新型软理想 同态 

分 类 号：O159[理学—数学]