مشخصات پژوهش

‎The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting‎. ‎In this paper‎, ‎the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation‎. ‎Also‎, ‎a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete