摘要
模糊理想是模糊代数的一个重要研究内容。在布尔代数中引入了Ⅰ-Ⅴ模糊理想概念。讨论了布尔代数的Ⅰ-Ⅴ模糊理想的若干性质。证明了布尔代数的I-V模糊理想的交,同态像以及直积也是Ⅰ-Ⅴ模糊理想。相关的研究结果丰富了布尔代数的模糊理论。
Fuzzy ideal is an important field in the study of fuzzy algebra. The concept of I-V fuzzy ideal of N(2,2,0)-algebra is introduced. The related properties of I-V fuzzy ideal in N (2,2,0)-algebra are discussed. Furthermore,it is proved that the intersection and homomorphism images and direct product in N(2,2,0)-algebra of I-V fuzzy ideal are also I N(2,2,0)-algebra.
出处
《模糊系统与数学》
北大核心
2017年第3期49-54,共6页
Fuzzy Systems and Mathematics
基金
广东省科技计划项目(2014A020209087)
关键词
布尔代数
I-V模糊理想
直积
Boolean Algebra
V fuzzy ideal. The results enriched fuzzy theory in I-V fuzzy Ideal
Direct Product