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In this paper, a multi-objective non-linear neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with multiple objectives subject to a specified set of constraints has been developed. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the cross-sections of the truss members; the constraints are the stresses in member.

In this report a novel interpolation/extrapolation is developed, based on the Cauchy method, which interpolates/extrapolates system responses in a narrow frequency band to system responses over a broad frequency band. The given information can be either theoretical data points or measured experimental data over the narrowband. For theoretical data interpolation/extrapolation, the sampled values (magnitude and phase) of the function and, optimally, a few of its derivatives have been used to reconstruct the function. For measured data, only measured values of the parameter are used to create the broadband information as the derivative information is too noisy. This method assumes that the parameter to be interpolated/extrapolated as a function of frequency is a ratio of two polynomials. The problem then is to determine the required order of the polynomials and the polynomial coefficients. The required order of the polynomials is estimated by applying Singular Value Decomposition (SVD) to the system matrix to determine the singular values and vectors. The number of nonzero singular values and their ratio of largest to smallest value are used to estimate the required polynomial order and the applicability of the method to the given data set. Polynomial coefficients then are determined using the method of Total Least Squares.

The multiple port Volterra series analysis of nonlinear systems is applied to nonlinear inhomogeneous antennas. The presence of an imperfect ground plane near the antenna structure has an influence on the scattered fields radiated at different harmonic frequencies. (Author).

In the real world, uncertainty or vagueness is prevalent in engineering and management computations. Commonly, such uncertainties are included in the design process by introducing simplified hypothesis and safety or design factors.