Many researches have been conducted on alcoholics for predicting the probability of their addiction to alcohol as well as the effect of alcohol on EEG signals. Most of these researches study the amplitude of alpha waves and the power of signal in this band. In some of the studies, the waves so called as P300 have been studied. In the present research paper, phase synchrony has been used as a tool for detecting alcoholics from the control group (the individuals who do not drink alcoholic beverages). The results obtained from the study indicate that in most of samples taken from the individuals who drink alcoholic beverages, there are more records of phase asynchrony between electrodes. From the results, the percentage of differentiation authenticity of about 85% was obtained for the data and a specific pair of studied canals.

In this work, by employing the Guo-Krasnoselskii fixed point theorem, we study the existence of positive solutions to the third-order two-point non-homogeneous boundary value problem \[ \begin{cases} -u'''(t)=a(t)f(t,v(t)),\\ -v'''(t)=b(t)h(t,u(t)),\\ u(0)=u'(0)=0, \alpha u'(1)+\beta u''(1)=0,\\ v(0)=v'(0)=0, \alpha v'(1)+\beta v''(1)=0, \end{cases} \] where \(\alpha\geq 0\) and \(\beta\geq 0\) with \(\alpha+\beta> 0\) are constant.

In this paper we investigate the generalized derivations and show that if E be a simple full Finsler A-module and let \(\delta: D(\delta)\subseteq E\rightarrow E\) be a d-derivation.Then either \(\delta\) is closable or both of the sets \(\{x\pm \delta(x): x\in E\}\) are dense in \(E\oplus E\). We also describe dynamical systems on a full Finsler module E over \(C^*\)- algebra A as a one -parameter group.

The aim of this paper is proposing a new approach for finding all solutions of system of nonlinear fuzzy equations using Fuzzy Linear Programming (FLP). This approach is based on the FLP test for nonexistence of a solution to a system of fuzzy nonlinear equations using fuzzy simplex method. Also a numerical example has proposed to show the applicability of the method.

In this note, we study various continuity criteria for the set-valued metric projection onto a set \(V\). Also we introduce some simpler and more general radial continuity criteria.

In this paper, a deterministic inventory model is developed for deteriorating items in which shortages are allowed and salvage value is incorporated to the deteriorated items. In this model the demand rate is constant, deterioration rate is time dependent with weibull’s distribution and holding cost is a linear function of time. The model is solved analytically by minimizing the total inventory cost. Numerical analysis is provided to illustrate the solution and application of the model. The model can be applied to optimizing the total inventory cost for the business enterprises where holding cost and deterioration rate both are time dependent and salvage value is incorporated to the deteriorated items.

Many applications, for instance in finance and in physics, require the calculation of high dimensional integrals. The Monte Carlo and quasi Monte Carlo methods are frequently used to approximate them. In this paper, we propose a new quasi Monte Carlo algorithm based on antithetic variance reduction and Halton's sequences for numerical integration. Efficiency of the new algorithm compared to the standard Monte Carlo algorithm is shown using example.

We study existence of positive solution of the equation \[-\Delta_pu=\lambda|u|^{p-2}u+f(x,u)\] with zero Dirichlet boundary conditions in bounded domain \(\Omega\in \mathbb{R}^n\) where \(\Delta_p\) denotes the p-laplacian operator defined by \(-\Delta_pz=div(|\nabla z|^{p-2}\nabla z); p,\lambda\in \mathbb{R}\) and \(p>1\).Our main result establishes the existence of weak solution.

In this paper we study the (p,q)-Laplacian systems with concave nonlinearities. Using some asymptotic behavior

A robust adaptive PID controller design motivated from the sliding mode control is proposed for a class of uncertain chaotic systems in this paper. Three PID control gains, \(K_p, K_i\), and \(K_d\), are adjustable parameters and will be updated online with an adequate adaptation mechanism to minimize a previously designed sliding condition. By introducing a supervisory controller, the stability of the closed-loop PID control system under with the plant uncertainty and external disturbance can be guaranteed. Finally, a well-known Vanderpol oscillator is used as an illustrative to show the efectiveness of the proposed robust a PID controller.

Changing the structure of electrical energy markets from traditional to the restructured state, considering the loss allocation has been unavoidable. The importance of this matter is because the amount of loss consist significant part of total electrical energy. Loss in power system is a nonlinear function of power so using linear methods could not be efficient. On the other hand, applied function must consider both network characterizes and participation rate in power supplying and power consumption. The purpose of this paper is to present an applicable and modern solution based on the cooperative game theory for loss allocation of transmission lines in both pool and bilateral markets. This method has been tested on a 4 bus systems and a 14 bus IEEE.

In this paper, we want to improve Monte Carlo approximation in fuzzy Riemann integral it means that calculate exact amount of fuzzy Riemann integral based on \(\alpha\)-level sets with partition of generating function of random numbers' RAND' in commercial software MATLAB.

In this work, a technique based on combination between collocation and spline method along with the shooting method is proposed for the solution of boundary value problem of order 2. Numerical results show that the method is simple and effective.

We first introduce fuzzy finite Markov chains and present some of their fundamental properties based on possibility theory. We also bring in a way to convert fuzzy Markov chains to classic Markov chains. In addition, we simulate fuzzy Markov chain using different sizes. It is observed that the most of fuzzy Markov chains not only do have an ergodic behavior, but also they are periodic. Finally, using Halton quasi-random sequence we generate some fuzzy Markov chains which compared to the ones generated by the RAND function of MATLAB. Therefore, we improve the periodicity behavior of fuzzy Markov chains.