Discrete dynamical systems in L-topological spaces

摘要

In this paper, we investigate iteration of Zadeh image operators and their discrete dynamical systems in L-topological spaces. Some basic concepts such as limit set, invariant set, periodic point, nonwandering point, and recurrent point are discussed in weakly induced topological spaces. We also study topological mixing, topolog-ical transitivity, and minimality for such dynamical systems, while comparing with those corresponding ones in crisp spaces.