格蕴涵代数的区间值犹豫模糊子代数  

Interval valued hesitant fuzzy subalgebras of Lattice Implication Algebras

作　　者：姜曼[1] JIANG Man(School of Public Courses,Xi’an Traffic Engineering Institute,Xi’an Shaanxi 710300)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300

出　　处：《首都师范大学学报（自然科学版）》2023年第3期7-11,共5页Journal of Capital Normal University：Natural Science Edition

摘　　要：把区间值犹豫模糊集和格蕴涵代数相结合,给出格蕴涵代数的区间值犹豫模糊子代数的概念,讨论了区间值犹豫模糊子代数与其犹豫模糊子代数的关系。证明了2个区间值犹豫模糊子代数的交是区间值犹豫模糊子代数,并结合具体例子,说明2个区间值犹豫模糊子代数并不满足类似结论。This paper combines interval valued hesitant fuzzy sets with Lattice Implication Algebras,gives the concept of interval valued hesitant fuzzy subalgebras of Lattice Implication Algebras,and discusses the relationship between interval valued hesitant fuzzy subalgebras and their hesitant fuzzy subalgebras.It is proved that the intersection of two interval valued hesitant fuzzy subalgebras is an interval valued hesitant fuzzy subalgebra.Combined with specific examples,it is clear that the intersection of two interval valued hesitant fuzzy subalgebras does not meet similar conclusions.

关 键 词：格蕴涵代数 区间值犹豫模糊集 区间值犹豫模糊子代数 

分 类 号：O159[理学—数学]