布尔代数的反犹豫模糊理想  

The Anti-Hesitant Fuzzy Ideals In Boolean Algebra

作　　者：张瑜[1] 张建忠[2] ZHANG Yu;ZHANG Jian-zhong(.Jiangsu vocational college of information technology,Wuxi 214153,China;Wuxi Institute of Technology,Wuxi 214122,China)

机构地区：[1]江苏信息职业技术学院基础部,江苏无锡214153 [2]无锡职业技术学院基础部,江苏无锡214121

出　　处：《数学的实践与认识》2020年第19期214-220,共7页Mathematics in Practice and Theory

摘　　要：给出布尔代数反犹豫模糊理想的概念,得到了一些性质和若干等价刻画;基于反扩张原理研究了布尔代数反犹豫模糊理想同态映射下像与原像的关系;最后研究了布尔代数反犹豫模糊理想的反直积和投影.In this paper,the concept of anti-hesitant fuzzy ideal of Boolean algebra is proposed.And some properties of anti-hesitant fuzzy ideal are discussed and several equivalent characterizations of anti-hesitant fuzzy ideal are given.Based on anti-extension principle,we also discuss the relationship between homomorphic image and homomorphic preimage under homomorphic mapping.Finally,we study the inverse direct product and projection of anti-hesitating fuzzy ideal in Boolean algebra.

关 键 词：布尔代数 犹豫模糊集 反犹豫模糊理想 

分 类 号：O159[理学—数学] O153.2[理学—基础数学]