BCI-代数的扰动模糊q-理想  

Disturbing Fuzzy q-Ideals of BCI-Algebras

作　　者：彭家寅[1] PENG Jiayin(College of Mathematics and Information Sciences, Neijiang Normal University, Neijiang, Sichuan 641199, China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641199

出　　处：《计算机科学与探索》2019年第5期892-900,共9页Journal of Frontiers of Computer Science and Technology

基　　金：国家自然科学基金No.11071178;教育部数学与应用数学专业综合改革项目No.ZG0464~~

摘　　要：将扰动模糊集应用于BCI-代数中,引入了BCI-代数的扰动模糊q-理想的概念,研究了它相关性质,讨论了扰动模糊q-理想与扰动模糊理想、扰动模糊子代数之间的关系,给出了扰动模糊q-理想的几个等价刻画和扩展定理,指出了BCI-代数的扰动模糊q-理想的同态象与同态原象在一定条件下仍是扰动模糊q-理想。Applying disturbing fuzzy sets to BCI-algebras, this paper introduces the concept of disturbing fuzzy qideals of BCI-algebras and studies their properties. The relations between disturbing fuzzy q- ideals and disturbing fuzzy ideals and disturbing fuzzy subalgebras are discussed. Some equivalent characterizations and the extensive theorem of disturbing fuzzy q- ideals are given. It is pointed out that the homomorphic image and homomorphic primitive of disturbing fuzzy q-ideal of BCI-algebras are still disturbing fuzzy q-ideals under certain conditions.

关 键 词：BCI-代数 扰动模糊集 扰动模糊理想 扰动模糊q-理想 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O141.1[自动化与计算机技术—控制科学与工程]