摘要
为了进一步了解N(2,2,0)代数的模糊特性,将双极值模糊集的概念应用于N(2,2,0)代数,给出了N(2,2,0)代数的双极值模糊子代数的概念,讨论了它的相关性质。得到了N(2,2,0)代数的双极值模糊子代数与模糊子代数的关系。证明了N(2,2,0)代数的双极值模糊子代数的交集和直积仍然是双极值模糊子代数。
In order to understand the fuzziness of N(2,2,0) algebra, the bipolar-valued fuzzy set is applied to N(2,2,0) algebra. The notion of bipolar-valued fuzzy subalgebra of N(2,2,0) algebra is introduced, and their properties are investigated. Relations between bipolar-valued fuzzy subalgebras and fuzzy subalgebras are discussed. It is proved that the intersection and Cartesian product in N(2,2,0)-algebra of bipolar-valued fuzzy subalgebra are also bipolar-valued fuzzy subalgebra.
作者
王丰效
WANG Fengxiao(College of Mathematics and Statistics,Kashigar University,Kashi 844000,China)
出处
《黑龙江大学自然科学学报》
CAS
2020年第1期26-31,共6页
Journal of Natural Science of Heilongjiang University
基金
Supported by the Natural Science Foundation of Xinjiang(2018D01A02)。
关键词
N(2
2
0)代数
双极值模糊子代数
交集
直积
N(2,2,0)algebra
bipolar-valued fuzzy subalgebra
intersection
cartesian product
