In this paper, we present a general framework for the study of interval type-2 rough fuzzy sets by using both constructive and axiomatic approaches. First, several concepts and properties of interval type-2 fuzzy sets are introduced. Then, a pair of lower and upper interval type-2 rough fuzzy approximation operators with respect to a crisp binary relation is proposed. Classical representations ...

The wavelet Galerkin operator appears in several different contexts such as wavelets (see for example [Law91b], [Dau95], [CoDa96], [LLS96], [CoRa90]), ergodic theory and g-measures ([Kea82]) or quantum statistical mechanics ([Rue68]). For some of the applications of the Ruelle operator we refer the reader to the book by V. Baladi [Bal00]. It also bears many different names in the literature: th...

Electrocardiogram is used to measure the rate and regularity of heartbeats to detect any irregularity to the heart. An ECG translates the heart electrical activity into wave-line on paper or screen. For the feature extraction and classification task we will be using discrete wavelet transform (DWT) as wavelet transform is a two-dimensional timescale processing method, so it is suitable for the ...

This paper presents a genetic algorithm based approach for designing fuzzy wavelet neural network (FWNN) and its application for control of dynamic plants. The structure of the proposed Fuzzy WNN consists of combination of two network structure. Upper side contains wavelet neural networks and down side contains network structure of the fuzzy inference system. A simple genetic algorithm is appli...

The jamor purpose of the present research is to predict the total stock market index of Tehran Stock Exchange, using a combined method of Wavelet transforms, Fuzzy genetics, and neural network in order to predict the active participations of finance market as well as macro decision makers.To do so, first the prediction was made by neural network, then a series of price index was decomposed by w...

the idea of difference sequences of real (or complex) numbers was introducedby ki zmaz cite{kizmaz}. in this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left(  delta,mathcal{f}right)  .$ we study some of its properties likesolidity, symmetricity, etc.

This paper is concerned with the numerical treatment of pseudo-diierential equations in I R 2 , employing wavelet Galerkin methods. We construct wavelet bases adapted to a given pseudo-diierential operator in the sense that functions on diierent reenement levels are orthogonal with respect to a certain bilinear form induced by the operator.

In this paper a countable family of new compactly supported non-Haar p-adic wavelet bases in L(Q p ) is constructed. We use the wavelet bases in the following applications: in the theory of p-adic pseudo-differential operators and equations. Namely, we study the connections between wavelet analysis and spectral analysis of p-adic pseudo-differential operators. A criterion for a multidimensional...

the aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in bcialgebras and to investigate some of their properties. several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of bci-algebras i...