This paper presents a software tool (Qua.Si. III) for the simulation of continuous dynamical systems whose parameters and/or initial conditions are modelled by fuzzy distributions. The tool, which is the last version of the qualitative simulator Qua.Si. (Bonarini, Bontempi, 1994a), implements a new approach to the numerical integration of fuzzy dynamical systems, where the problem of propagatin...

in this article, we demonstrate an analytic-numeric solution for some dynamical systems using the multistagehomotopy perturbation method. the method yields results that are in complete agreement with their numericalcounterparts.

In this paper, we describe the orbital structure of homogeneous fuzzy parallel dynamical systems on Zadeh operators. particular, show that, when (global) evolution operator is either conjunction AND or disjunction OR, all points system are fixed eventually points. Specifically, such present infinitely many On other hand, NOR NAND, consists an only point and 2-periodic

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...

P-fuzzy dynamical systems are variational systems whose dynamic is obtained by means of a Mamdani type fuzzy rule-based system. In this paper, particularly, we are going to approach the 1-dimensional p-fuzzy dynamical systems and will present theorems that establish conditions of existence and uniqueness of stationary points. Besides the obtained analytical results, we will present examples tha...

The identification of nonlinear multi-input multi-output (MIMO) processes is important and challenging problem. Fuzzy systems have been effectively used to identify complex nonlinear dynamical systems, but mostly single-input single-output systems are considered. This paper presents a compact Takagi-Sugeno fuzzy model that can be effectively used to represent MIMO dynamical systems. For the ide...

In this paper, intuitionistic fuzzy-dynamical systems (IF-dynamical systems) on an MV -algebra are introduced. Also the entropy of IF-dynamical systems is introduced and studied. Several related results are proved.

This paper shows how adaptive systems can learn to add an optimal amount of noise to some nonlinear feedback systems. Noise can improve the signal-to-noise ratio of many nonlinear dynamical systems. This “stochastic resonance” (SR) effect occurs in a wide range of physical and biological systems. The SR effect may also occur in engineering systems in signal processing, communications, and contr...