摘要
把犹豫模糊集与布尔代数相结合,在布尔代数中引入犹豫模糊点子代数的概念并讨论其性质,给出2个关于犹豫模糊点子代数的判定定理.证明布尔代数的犹豫模糊点子代数的交也是犹豫模糊点子代数,并在布尔代数同态满射前提下,得到犹豫模糊点子代数的像及同态逆像的不变性.
By combining hesitant fuzzy sets with Boolean algebra,the concept of hesitant fuzzy dot subalgebra is introduced into Boolean algebra,and its properties are discussed.Two criteria for hesitant fuzzy subalgebras are given.It is proved that the intersection of hesitant fuzzy dot subalgebra of Boolean algebras is also hesitant fuzzy subalgebras,under the premise of homomorphic surjections of Boolean algebras,the invariance of images and homomorphic inverse images of hesitant fuzzy subalgebras is obtained.
作者
姜曼
JIANG Man(Public Course Department, Xi’an Traffic Engineering College, Xi’an 710300, China)
出处
《湖北大学学报（自然科学版）》
CAS
2022年第1期46-50,共5页
Journal of Hubei University：Natural Science
基金
陕西省自然科学基础研究计划(2021JQ-893)
西安交通工程学院中青年基金(21KY-01)资助。
关键词
布尔代数
模糊子代数
犹豫模糊点子代数
同态
Boolean algebra
fuzzy subalgebra
hesitant fuzzy dot subalgebra
homomorphism
