犹豫模糊N(2,2,0)代数  

The Hesitant Fuzzy N(2,2,0)Algebras

作　　者：傅小波[1] FU Xiao-bo(Wuxi Institute of Technology,Wuxi 214121,China)

机构地区：[1]无锡职业技术学院数学教研室,江苏无锡214121

出　　处：《数学的实践与认识》2022年第5期159-166,共8页Mathematics in Practice and Theory

摘　　要：将犹豫模糊集理论应用于N(2,2,0)代数,提出了犹豫模糊子代数的概念,讨论犹豫模糊子代数的一些相关的性质,得到了若干等价刻画;给出了N(2,2,0)代数的犹豫模糊理想的概念,讨论了犹豫模糊子代数与犹豫模糊理想等价的条件,最后研究了N(2,2,0)代数的犹豫模糊理想、犹豫模糊关联理想、犹豫模糊正关联理想之间的关系.By applying the theory of hesitant fuzzy set to the N(2,2,0) algebras,the concept of hesitant fuzzy subalgebra is introduced,and some related properties are investigated.Some equivalent descriptions of the hesitant fuzzy subalgebra are given.The natures of hesitant fuzzy ideals in the N(2,2,0) algebras are proposed,and the equivalent condition between hesitant fuzzy subalgebra and hesitant fuzzy ideal is given.Finally,the relationships among hesitant fuzzy ideal,hesitant fuzzy implicative ideal and hesitant fuzzy positive implicative ideal are also studied in the N(2,2,0)algebra.

关 键 词：(2 2 0)代数 犹豫模糊集 犹豫模糊子代数 犹豫模糊理想 

分 类 号：O159[理学—数学]