‎We consider a linear programming problem in a general form and suppose that all coefficients may vary in some prescribed intervals‎. ‎Contrary to classical models‎, ‎where parameters can attain any value from the interval domains independently‎, ‎we study problems with linear dependencies between the parameters‎. ‎We present a class of problems that are easily solved by reduction to the classi...

The conventional linear programming model requires the parameters to be known as constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. Interval programming is one of the tools to tackle uncertainty in mathematical programming models. In this paper, it will be presented the linear programming problems with interval numbers as coefficients and va...

The question of spectral analysis for deterministic chaos is not well understood in the literature. In this paper, using iterates of chaotic interval maps as time series, we analyze the mathematical properties of the Fourier series of these iterates. The key idea is the connection between the total variation and the topological entropy of the iterates of the interval map, from where special pro...

Sensitivity analysis of cost coefficients of an interval transportation problem is discussed. A new solution method namely, upper-lower method is proposed to determine the ranges of costs in the interval transportation problem such that its optimal basis is invariant. The proposed method is illustrated with the help of a numerical example. Further, the upper-lower method is extended to fuzzy tr...

By using the optimum-interval interpolation estimation, in this paper, a new composite model which is based on the improved second generation wavelet transform and second order nonhomogeneous Hidden Markov Model(ISGWT-SNHMM) is proposed and applied in the power quality disturbance classification. By adopting the interpolating scheme and the optimum-interval interpolation estimation, the predict...

This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m × n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed...

We improve the well-known result of Bertsimas and Sim presented in (D. Bertsimas and M. Sim, “Robust discrete optimization and network flows”, Mathematical Programming, B(98): 49-71, 2003) regarding the computation of optimal solutions of Robust Combinatorial Optimization problems with interval uncertainty in the objective function coefficients. We also extend this improvement to a more general...

For one class of nonlinear wave equations with a small parameter, an initial-boundary value problem zero boundary conditions is considered. The solution such constructed using series recurrently calculated coefficients in two ways. In the first case, method special considered, which based on choice some functions (basic functions), by powers these original presented into coefficients. other cas...

The Multiple Attribute Group Decision Making (MAGDM) problems are investigated in which all the information provided by the decision-makers is presented as interval-valued intuitionistic fuzzy decision matrices, and the information about attribute weights is partially known. Three different models are utilized for calculating the completely unknown attribute weights which are then used for aggr...