Graph is a powerful mathematical tool applied in many fields as transportation, communication, informatics, economy, … In ordinary graph the weights of edges and vertexes are considered independently where the length of a path is the sum of weights of the edges and the vertexes on this path. However, in many practical problems, weights at a vertex are not the same for all paths passing this vertex, but depend on coming and leaving edges. The paper develops a model of extended network that can be applied to modelling many practical problems more exactly and effectively. The main contribution of this paper is a source-sink alternative algorithm, then improving computing performance for algorithm finding maximal flows on extended mixed networks.

Intuitionistic fuzzy multiset introduced by Shinoj and Sunil is a relatively new research area. In this article, we proposed some mathematical techniques to convert intuitionistic fuzzy multisets to fuzzy sets for industrial uses such as in fuzzy logic and fuzzy control.

The intelligent location and recognition of vehicle Logo and vehicle license plate is an important component of intelligent transportation system. In this paper, we mainly study the location of vehicle logo. In the location of the logo, according to the content, it can be divided into coarse location and precise location, coarse positioning is mainly according the position of license plate to locate the region of lamp belt which includes the vehicle logo, which involves the location of license plate. In order to locate the position of vehicle logo accurately, the improved saliency detection method based on the features of the vehicle logo is used. Experimental results show that the model can fast and effectively segment the intensity inhomogeneous images.

The purpose of this paper is to present a numerical method for finding an approximate solution of two-dimensional (2D) nonlinear volterra integral equations. First, we introduce two-dimensional Bernstein functions, then present their operational matrices of integration and product. Using this properties and collcation points, reduce integral equation to a system of nonlinear algebric equations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique.

This paper studies stability and hybrid synchronization of a time-delay financial hyperchaotic system. Based on Lyapunov stability theorem and differential inequalities, stability is obtained by intermittent linear state feedback control. Furthermore, hybrid synchronization method is firstly proposed to synchronize a financial hyperchaotic system and globally synchronization is obtained by proper hybrid controllers and Lyapunov stability theorem. The corresponding numerical simulations are performed to verify and illustrate the effectiveness and correctness of proposing methods.

In this paper, the method of particular solution (MPS) is employed for the numerical solution of the one-dimensional (1D) telegraph equation based on radical basis functions (RBFs). Coupled with the time discretization and MPS, the proposed method is a truly meshless method which requires neither domain or boundary discretization. The algorithm is very simple so it is very easy to implement. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme, the obtained numerical results also have been compared with the results obtained by some existing methods to verify the accurate nature of our method.

Recently, a number of extensions to classical fuzzy logic systems (type-1 fuzzy logic systems) have been attracting interest. One of the most widely used extensions is the interval type-2 fuzzy logic systems. An interval type-2 TSK fuzzy logic system can be obtained by considering the membership functions of its existed type-1 counterpart as primary membership functions and assigning uncertainty to cluster centers, standard deviation of Gaussian membership functions and consequence parameters. This paper presents a review and comparison of type-1 fuzzy logic system and type-2 fuzzy systems in fuzzy modeling and identification. TSK fuzzy model is considered for both type-1 and type-2 fuzzy systems and model parameters are updated using gradient descent method. The experimental study is done on two widely known data, namely chemical plant data and the stock market data.

Examination timetabling is an important operational problem in any academic institution. The problem involves assigning examinations and candidates to time periods and examination rooms while satisfying a set of specific constraints. An increased number of student enrolments, a wider variety of courses, and the growing flexibility of students’ curricula have contributed to the growing challenge in preparing examination timetables. Since examination timetabling problems differ from one institution to another, in this paper we develop and investigate the impact of a two-phase heuristic that combines Graph-Colouring and Simulated Annealing at Sokoine University of Agriculture (SUA) in Tanzania. Computational results are presented which shows great improvement over the previous work on the same problem.

Hybrid synchronization of the hyperchaotic 4D systems with different initial conditions is investigated via impulsive coupling. Based on the Lyapunov stability theory, sufficient conditions are given to get the hybrid synchronization by constructing a Lyapunov function. It is proved that some partial state variables of two hyperchatic systems are anti-synchronized, while other state variables are complete synchronized, when impulsive coupling controllers are imposed on the response system. Numerical simulation results are presented to demonstrate the effectiveness of the proposed chaos synchronization scheme.

In this paper, pinning synchronization of unilateral coupled Hyperchaotic network with time delay is investigated. According to Lyapunov stability theory, an appropriate controller and particular Lyapunov function are designed, then the pinning synchronization of a network is realized in which every node is a hyperchaotic Lorenz system. Numerical simulations are given to verify the effectiveness of the proposed method.