布尔代数的犹豫模糊点子代数  

Hesitant fuzzy dot subalgebra in Boolean algebras

作　　者：姜曼[1] JIANG Man(Public Course Department, Xi’an Traffic Engineering College, Xi’an 710300, China)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300

出　　处：《湖北大学学报（自然科学版）》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。

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.

关 键 词：布尔代数 模糊子代数 犹豫模糊点子代数 同态 

分 类 号：O159[理学—数学]