Generated new classes of permutation I/B-Algebras

In this work, a new connotation of algebra is presented, which is referred to as I-algebra and their basic properties are studied. Next, we introduced two algorithms to generate new classes of permutation algebras, they are called permutation I/B-algebras produced by soft topology Γ. Moreover, we generated two new classes of permutation subalgebras, they are called permutation I/B-subalgebras produced by Γ.