半群的区间值反模糊子半群的性质  

Interval Value Anti-Fuzzy Subsemigroup of Semigroup

作　　者：王丰效 宋爱丽 

机构地区：[1]喀什大学数学与统计学院

出　　处：《数学的实践与认识》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)

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.

关 键 词：半群 区间值反模糊子半群 同态 并 

分 类 号：O152.7[理学—数学] O159[理学—基础数学]