Soft Congruence and Soft Fuzzy Congruence on Rings

In the higher applied modern algebra structure, the ring structure takes a very important position. In the analysis of the ring structure, it can use the fuzzy set tool of the soft set to deal with the congruence question, and study the corresponding relationship between the ideal softening and soft congruence. Then, it can help us construct the thinking of soft congruence. The soft set collects the elements with compatibility relation together as a class. The parameters in each class can be intersected. Thus, it overcomes the shortcomings of lack of model parameter tools.