新型反软亚BCI-代数  

A New Type of Anti-soft Weak-BCI-Algebras

作　　者：黄昱[1] 廖祖华[2] HUANG Yu;LIAO Zu-hua(Department of Basic Course Teaching,Wuxi Taihu University,Wuxi Jiangsu 214064,China;School of Science,Jiangnan University,Wuxi Jiangsu 214122,China)

机构地区：[1]无锡太湖学院基础课教学部,江苏无锡214064 [2]江南大学理学院,江苏无锡214122

出　　处：《西南大学学报（自然科学版）》2020年第6期38-45,共8页Journal of Southwest University(Natural Science Edition)

基　　金：江苏省高等学校自然科学研究项目(19KJD100006);国家自然科学基金项目(61170121);江苏省自然科学基金项目(BK20151117).

摘　　要：提出了新型反软亚BCI-代数、软集的对偶投影、软集的软压缩和软集的对偶合成等新概念.给出了新型反软亚BCI-代数在软集的或、限制并、对偶投影、软平移、软压缩等运算下的基本性质,运用软集的对偶合成、软集的反对偶和软集的反水平集分别给出了新型反软亚BCI-代数的等价刻画.最后利用软集的反扩张原理讨论了新型反软亚BCI-代数在同态映射下反像和原像的性质.In this paper,the notions of“a new-type of anti-soft weak-BCI-algebra”,“dual projection of soft sets”,“soft compression of soft sets”and“dual compositional operation of soft sets”are introduced.By using OR operation,restricted union,dual projection,soft translation and soft compression on soft sets,some properties of the anti-soft weak-BCI-algebra are obtained.The equivalent characterizations of the new type of anti-soft weak-BCI-algebras are given by applying dual compositional operation,anti-dual soft sets and anti-level sets on soft sets.Finally,the properties of the anti-image and inverse image of the new-type anti-soft weak-BCI-algebra under homomorphic mappings are discussed based on the anti-extension principle of soft sets.

关 键 词：亚BCI-代数 软集 反软亚BCI-代数 反对偶软集 同态映射 

分 类 号：O159[理学—数学]