N(2,2,0)代数的(λ,μ)-反犹豫模糊子代数  

The(λ,μ)anti-hesitant fuzzy subalgebra of N(2,2,0)algebra

作　　者：姜曼[1] JIANG Man(Mathematics Teaching and Research Office,Xi’an Traffic Engineering Institute,Xi’an 710000,China)

机构地区：[1]西安交通工程学院数学教研室,陕西西安710000

出　　处：《安徽大学学报（自然科学版）》2022年第4期1-4,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071178);陕西省自然科学基础研究计划项目(2021JQ-893)。

摘　　要：将N(2,2,0)代数与犹豫模糊集相结合,在N(2,2,0)代数中给出了(λ,μ)-反犹豫模糊子代数的定义,研究了其相关性质.证明出两个N(2,2,0)代数中(λ,μ)-反犹豫模糊子代数的并、同态像和反直积也是(λ,μ)-反犹豫模糊子代数.In this article,we combined N(2,2,0)algebra with hesitant fuzzy sets and introduced the definition of anti-hesitant fuzzy subalgebra in N(2,2,0)algebras.Then we studied the related properties of anti-hesitant fuzzy subalgebra in N(2,2,0)algebra and obtained the union of anti-hesitant fuzzy subalgebra in two N(2,2,0)algebra.It was proved that the homomorphic images and anti-direct products were also anti-hesitant fuzzy subalgebra.

关 键 词：N(2 2 0)代数 (λ μ)-反犹豫模糊子代数 同态 反直积 

分 类 号：O159[理学—数学]