摘要
模糊子代数是模糊代数的一个重要研究内容.为了进一步了解坡代数的模糊子坡代数的特性,在坡代数中引入了区间值模糊子坡代数概念.讨论了坡代数的区间值模糊子坡代数的性质.证明了坡代数的区间值模糊子坡代数的交,直积以及同态像也是区间值模糊子坡代数.
Fuzzy sub-algebra is an important field in the study of fuzzy algebra. In order to understand the characteristics of fuzzy sub-incline algebras of incline algebras, the concept of Ⅰ-Ⅴ fuzzy sub-incline algebra of incline algebra is introduced. The related properties ofⅠ-Ⅴ fuzzy subincline in incline algebra are discussed. Furthermore, it is proved that the intersection and homomorphism images and direct product in incline algebra of Ⅰ-Ⅴ fuzzy subincline algebra are also Ⅰ-Ⅴ fuzzy subincline algebra.
出处
《数学的实践与认识》
北大核心
2017年第24期289-293,共5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
坡代数
Ⅰ-Ⅴ模糊子坡代数
同态
Incline algebra
I-V fuzzy subincline algebra
homomorphism
