摘要
作为模糊代数的一个研究领域，区间值模糊子半群对模糊子半群的研究至关重要．引入了半群的区间值反模糊子半群的概念，对区间值反模糊子半群的性质进行了研究．讨论了半群的区间值反模糊子半群关于并运算的封闭性质．最后给出了半群的区间值模糊子半群的同态像和原像的相关性质．相关的研究结果丰富了半群的模糊理论．
Interval value fuzzy subsemigroups are essential to research of fuzzy subsemi- group as a study area. The notion of interval value anti-fuzzy subsemigroups is introduced. Some related properties of interval value anti-fuzzy subsemigroups are studied, we prove that the union of two interval value anti-fuzzy subsemigroups is also interval value anti-fuzzy subsemigroups. Finally, some properties of the homomorphic image and inverse image of interval value anti-fuzzy subsemigroups of semigroups are discussed. The results enriched fuzzy theory of semigroup.
出处
《数学的实践与认识》
北大核心
2018年第5期207-212,共6页
Mathematics in Practice and Theory
基金
广东省科技计划项目(2014A020209087)
喀什大学高层次人才项目(GCC15ZK-007)
关键词
半群
区间值反模糊子半群
同态
并
Semigroup
interval value anti-fuzzy subsemigroup
Homomorphic
Union
