将软集与KU代数相结合,提出KU代数的新型软理想的概念并对它进行研究。首先,获得了两个KU代数的新型软理想的限制交和且运算仍然是KU代数的新型软理想。其次,通过举例说明KU代数的新型软理想与通常意义下的软理想不同。再次,定义了两个软集的且运算的投影的新概念,得到若两个软集的且运算是新型软理想,则它的投影也是新型软理想。之后,运用对偶软集的方法给出了新型软理想的等价刻画。最后,讨论了KU代数的新型软理想的同态像和原像的相关性质。经过研究可以得出,KU代数的新型软理想比通常意义下的软理想具有更深刻的结论。
By combining the soft set and the KU-algebra, we give the concept of a new type soft ideal of KU-algebras and carry out a detailed investigation. Firstly, we prove that the restricted intersection operation and AND operatian of two new type soft ideals of KU-algebras is also a new type soft ideal of algebras. Secondly, we give examples to show that the new type soft ideal is different from common soft ideal. Then, we define the new concept of the projection of AND operation of soft set, and obtain a result that the projection of AND operation of two soft set is a new type soft ideal,if the AND operation is a new type soft ideal. Afret, the new type soft ideal equivalent descriptions are gotten by using the method of dual soft set. Finally, we get the properties about the homomorphism image and inverse image of the new type soft ideals of KU-algebras. Based on the investigation we conclude that the new type soft ideal has more deep-going conclusions than the common soft ideal of algebras.