KU代数的新型软子代数

A New Type Soft Subalgebra of KU Algebras

利用将软集的参数集赋予KU代数的代数结构的方法,我们提出KU代数新型软子代数并从以下几个方面进行研究。首先,结合软集的限制交、扩展交和且运算等研究新型软子代数的一些基本性质,并给出且运算投影的新概念,同时讨论新型软子代数且运算的投影的性质,其次利用软集的对偶软集得到新型软子代数的等价刻画,最后研究新型软子代数的同态像与原像的性质。研究表明,新型软子代数的性质与通常意义下的软子代数的性质有较大差异,且其结果更加深刻。

By endowing a parameter sets of soft sets with the algebraic structures of KU algebras, We introduce the concept of a new type soft subalgebra and study it from the following several aspects. Firstly, we research some basic properties of new type soft subalgebras by using the restricted inter- section , extension intersection and the AND operation of soft sets. Besides, we give the new concept of the projection of the AND operation and discuss its properties. Once more , by applying the dual soft sets, we give the equivalent characterizations of the new soft subalgebra.At last,we investigate the properties of the homomorphism image and inverse image of a new soft subalgebra. Research has shown that the properties of new type of soft subalgebra are quite different from the soft subalgebra from common sence and its conclusions are more profound.