N(2,2,0)代数的双极值模糊子代数  

Bipolar-valued fuzzy subalgebra of N(2,2,0)algebra

作　　者：王丰效 WANG Fengxiao(College of Mathematics and Statistics,Kashigar University,Kashi 844000,China)

机构地区：[1]喀什大学数学与统计学院,喀什844000

出　　处：《黑龙江大学自然科学学报》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)。

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.

关 键 词：N(2 2 0)代数 双极值模糊子代数 交集 直积 

分 类 号：O175[理学—数学]