Dynamic equivalence relation on the fuzzy measure algebras
Roya Ghasemkhani, Uosef Mohammadi · DOAJ (DOAJ: Directory of Open Access Journals) · 2017
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.