New Technical to Geanerte Permutation Measurable Spaces

In this paper, a new technical is shown to generate new class of permutation space is called a permutation measurable space (PMS) produced by soft measurable space (SMS). Next, some connotations in soft setting like soft σ-algebras and soft measurable functions are applied to our new notion. In this work, we studied and discussed the basic characteristics of permutation measurable space (PMS). Some theories are given to illustrate our connotation.