“…Fuzzy technology joined forces with artificial neural networks and genetic algorithms under the title of computational intelligence or soft computing. In recent years, the research on the dynamical behaviours of fuzzy neural networks has attracted much attention, see [18–22]. To summarize, we consider the following CNNs with stochastic perturbations and fuzzy operations: where α ij , β ij , T ij and S ij are elements of fuzzy feedback MIN, MAX template, fuzzy feed forward MIN and MAX template, respectively; ⋀ and ⋁ denote the fuzzy AND and fuzzy OR operation, respectively; d ij , η ij and σ j are similarly specified as that in system (1), w j is the standard Brownian motion defined on a complete probability space, i , j = 1, 2, …, n .…”