首先,在软集的基础上将参数集赋予半群的代数结构,给出了半群的软理想的概念,得到了它的一些等价刻画;其次,获得了半群的两个软理想在不同运算下仍然是半群的软理想的性质及软理想像与原像的性质;最后,提出了半群的软k-理想新概念,并讨论了它的一系列基本性质。
Firstly, based on the soft sets, we gave the set of parameters a algebraic structure of semigroups, introduced the concept of the soft ideals of semigroups, and then got some of its equivalent characterizations; secondly, we obtained the properties that two soft ideals of semigroups under the different operations were also soft ideals of semigroups, and the properties of the images and preimages of the soft ideals; finally, discussed.