摘要
为进一步了解半群的模糊结构,丰富半群的模糊理论,将区间值直觉模糊集的概念应用于半群。给出了半群的区间值直觉模糊理想的概念,讨论了它的相关性质,得到了半群的区间值直觉模糊理想与区间值模糊理想之间的关系。证明了半群的区间值直觉模糊理想的交集和积仍然是区间值直觉模糊理想。给出的半群的区间值直觉模糊理想及其相关结果能够丰富和完善半群的模糊理论。
In order to further understand the fuzzy structure of semigroups and enrich fuzzy theory of semigroups,interval-valued intuitionistic fuzzy sets are applied to semigroups.The concept of intervalvalued intuitionistic fuzzy ideals of semigroups is given,and its related properties are discussed.The relationships between interval-valued intuitionistic fuzzy ideals and interval-valued fuzzy ideals of semigroups are obtained.It is proved that the intersection and product of interval valued intuitionistic fuzzy ideals of semigroups are still interval valued intuitionistic fuzzy ideals.The interval-valued intuitionistic fuzzy ideals of semigroups and their related results can enrich and perfect the fuzzy theory of semigroups.
作者
王丰效
WANG Fengxiao(College of Mathematics and Statistics,Kashi University,Kashi 844000,China)
出处
《重庆理工大学学报（自然科学）》
CAS
北大核心
2021年第3期268-274,共7页
Journal of Chongqing University of Technology：Natural Science
基金
新疆维吾尔自治区自然科学基金项目(2018D01A02)。
关键词
半群
区间值直觉模糊理想
交集
直积
semigroup
interval-valued intuitionistic fuzzy ideal
intersection
direct product
