This paper considers systems whose input signals are fuzzy stochastic processes of second order. The analysis is entirely restricted to discrete time linear time-invariant systems. Convergence conditions of the output are given. The equations on the mean value functions and the covariance functions are derived. The representation of fuzzy stochastic processes is also discussed. c © 2002 Elsevie...

In this dissertation the generation and tuning of fuzzy membership function parameters are considered as a part of the fuzzy model development process. The automatic generation and tuning of fuzzy membership function parameters are needed for the fast adaptation and tuning of fuzzy models of various nonlinear dynamical systems. The developed methods are especially useful in automatic fuzzy memb...

Recurrent neural networks and hidden Markov models have been the popular tools for sequence recognition problems such as automatic speech recognition. This work investigates the combination of recurrent neural networks and hidden Markov models into the hybrid architecture. This combination is feasible due to the similarity of the architectural dynamics of the two systems. Initial experiments we...

The aim of this paper is to present the Temporal Fuzzy Chains (TFCs) [3] to model the dynamic systems in a linguistic manner. TFCs make use of two different concepts: the traditional method to represent the dynamic systems named state vectors [6], and the linguistic variables [8] used in fuzzy logic [7]. Thus, TFCs are qualitative and represents the ”temporal zones” using linguistic states and ...

Article history: Received 25 November 2008 Available online 4 January 2010 Submitted by C.E. Wayne

The concept of fuzzy sets and fuzzy set operations were first introduced by Zadeh [30], fuzzy logic has become an important area of research in various branches of Mathematics such as metric and topological spaces, theory of functions, approximation theory etc. Subsequently several authors have discussed various aspects of the theory and applications of fuzzy sets. The concept of fuzzyiness has...

The paradigm of deterministic nite-state automata (DFAs) and their corresponding regular languages have been shown to be very useful for addressing fundamental issues in recurrent neural networks. The issues that have been addressed include knowledge representation, extraction, and reenement as well development of advanced learning algorithms. Recurrent neural networks are also very promising t...

and Applied Analysis 3 2. Preliminaries In this section, we complete notations and recall some known definitions. Let K X be the class of all nonempty and compact subset of X. If A ∈ K X we define the ε-neighbourhood of A as the set N A, ε {x ∈ X | d x,A < ε}, 2.1 where d x,A infa∈A‖x − a‖. The Hausdorff separation ρ A,B of A,B ∈ K X is defined by ρ A,B inf{ε > 0 | A ⊆ N B, ε }. 2.2 The Hausdor...

abstract drastic precipitations in unmorally times always are one of the important factors that created abundant damages in different geographical areas. in this research, three precipitations that occurred in summer 2009 in mashhad were investigated. the investigation of variation graphs of meteorological parameters show significant decreasing of air pressure and temperature and increasing of ...