半群的n维区间值模糊子半群  

n-Dimensional Interval Valued Fuzzy Subsemigroup in Semigroups

作　　者：宋爱丽 王丰效 Song Aili;Wang Fengxiao(College of Mathematics and Statistics,Kashi University,Xinjiang 844000,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《南京师大学报（自然科学版）》2023年第1期6-10,17,共6页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：新疆维吾尔自治区自然科学基金项目(2018D01A02)。

摘　　要：半群的模糊子半群是半群模糊理论的一个重要研究领域.结合n维模糊集和区间值模糊集的概念引入了n维区间值模糊集的概念,并应用于半群,引入了半群的n维区间值模糊子半群的概念.讨论了半群的n维区间值模糊子半群的基本性质.给出了半群的n维区间值模糊子半群与区间值模糊子半群及半群的子半群的关系.证明了半群的n维区间值模糊子半群的交和直积仍然是n维区间值模糊子半群.Fuzzy subsemigroups of semigroups are an important research field of semigroup fuzzy theory. Combining the concepts of n-dimensional fuzzy sets and interval valued fuzzy sets, the concept of n-dimensional interval valued fuzzy sets is introduced and applied to semigroups. The concept of n-dimensional interval valued fuzzy subsemigroups of semigroups is introduced. The basic properties of n-dimensional interval valued fuzzy subsemigroups of semigroups are discussed. The relations between n-dimensional interval valued fuzzy subsemigroups, interval valued fuzzy subsemigroups and subsemigroups of semigroups are given. It is proved that the intersection and direct product of n-dimensional interval valued fuzzy subsemigroups of semigroups are still n-dimensional interval valued fuzzy subsemigroups.

关 键 词：半群 n维模糊集 区间值模糊集 n维区间值模糊子半群 直积 

分 类 号：O159[理学—数学]