The College of Science in the Department of Mathematics discussed a seminar entitled (New Classes Of Algebras Using Permutation Sets) for postgraduate student Ali Abbas Ismaeel. The seminar aims to develop new techniques for introducing new BCK-algebra classes via permutation in symmetric groups. Permutation generalized BCK-algebra is introduced as a generalization of positive implicative permutation BCK-algebras. It shows how to create a permutation generalized BCK-algebra from a permutation quasi-ordered set.