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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

Math. Comput. Appl., Volume 8, Issue 2 (August 2003) – 15 articles , Pages 135-262

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Article
Rule-Based Fuzzy Classification Using Query Processing
Math. Comput. Appl. 2003, 8(2), 253-262; https://doi.org/10.3390/mca8020253 - 01 Aug 2003
Viewed by 824
Abstract
This paper describes the derivation of fuzzy classification rules based on c-means fuzzy clustering algorithm as results that are induced of fuzzy clusters. Each fuzzy cluster is associated with a fuzzy classification rule in which fuzzy sets are obtained by projecting the cluster [...] Read more.
This paper describes the derivation of fuzzy classification rules based on c-means fuzzy clustering algorithm as results that are induced of fuzzy clusters. Each fuzzy cluster is associated with a fuzzy classification rule in which fuzzy sets are obtained by projecting the cluster to one-dimensional domains. In order to provide a unique assignment of data to a defined class it is suggested to use the fuzzy query processing executed on the base of induced linguistic fuzzy classification rules. This approach has been applied to fuzzy classification of population where fast and efficient assignment as well as the rank of a data in the same class is supplied. Full article
Article
Fuzzy Inference System Based on Neural Network for Technological Process Control
Math. Comput. Appl. 2003, 8(2), 245-252; https://doi.org/10.3390/mca8020245 - 01 Aug 2003
Cited by 2 | Viewed by 953
Abstract
The implementation of a fuzzy system for technological process control based on parallel architecture and learning capabilities of neural networks is considered. The algorithms of fuzzy inference system on neural network (neuro-fuzzy system) are described. To train unknown coefficients of the system, the [...] Read more.
The implementation of a fuzzy system for technological process control based on parallel architecture and learning capabilities of neural networks is considered. The algorithms of fuzzy inference system on neural network (neuro-fuzzy system) are described. To train unknown coefficients of the system, the supervised learning algorithm is used. As a result of learning, the rules of neuro-fuzzy system are generated. The neuro-fuzzy system is applied to control a dynamic plant. Using desired time response characteristics of the system the synthesis of neuro-fuzzy controller for technological process control is carried out. The simulation result of the neuro-fuzzy control system is compared with the simulation results of control systems based on PID- and neural controller. It is found that the neuro-fuzzy control system has better control performance than the others. Full article
Article
Cutting Tool Condition Monitoring Using Surface Texture via Neural Network
Math. Comput. Appl. 2003, 8(2), 235-243; https://doi.org/10.3390/mca8020235 - 01 Aug 2003
Cited by 1 | Viewed by 718
Abstract
For defining surface finish and monitoring tool wear is essential for optimisation of machining parameters and performing automated manufacturing systems. There is very close relationship between tool wear and surface finish parameters as surface roughness (Ra,) and maximum depth of [...] Read more.
For defining surface finish and monitoring tool wear is essential for optimisation of machining parameters and performing automated manufacturing systems. There is very close relationship between tool wear and surface finish parameters as surface roughness (Ra,) and maximum depth of profile (Rt). The machined surface reflects the rate of tool wear and the plot of surface pmvides reliable information about tool condition. In this paper an approach for estimating Ra,and Rt in milling process using the artificial neural networks is proposed. Feed-forward multi-layered neural networks, trained by the back-propagation algorithm are used. In training phase seven input parameters (v, f, d, Fx, Fy, Fz and Vb) and two output parameters are used and the network architecture is as 7x6x6x6x2. It was found that the ANN results are very close to the experimental resuks. The developed model can be used to define the quality of surface finish in tool condition monitoring systems. Full article
Article
Application of Neural Networks to Estimate Common Mode (CM) Model Impedance Parameters in AC Drives
Math. Comput. Appl. 2003, 8(2), 225-233; https://doi.org/10.3390/mca8020225 - 01 Aug 2003
Cited by 1 | Viewed by 684
Abstract
Predicting and solving EMI emissions related to Common Mode (CM) ones in inverter (including pulse with modulation (PWM) inverter)-induction motor drive systems requires various frequency-dependent effects to be considered. Thus, the application of filter circuitry to improve the performance per size and prevent [...] Read more.
Predicting and solving EMI emissions related to Common Mode (CM) ones in inverter (including pulse with modulation (PWM) inverter)-induction motor drive systems requires various frequency-dependent effects to be considered. Thus, the application of filter circuitry to improve the performance per size and prevent dependency on some parameters of the motor for Electro-Magnetic Interference (EMl) filter is considered. The major problems are power line frequency rejection and the compensation of the feedback loop, which is influenced by the wide-ranging utility impedance. Thus, the proposed method allows another way to determine Common Mode (CM) impedance components as a beginning way and sample on the application stage of EMI filter to prevent the EMI noise applying to the conducted electromagnetic emissions generally caused by power supply firstly, then secondly to Common Mode (CM) path of the motor drive system. Full article
Article
Prediction of Magnetic Properties of Strip Wound Toroidal Cores up to 2 Khz Using Artificial Neural Network
Math. Comput. Appl. 2003, 8(2), 217-223; https://doi.org/10.3390/mca8020217 - 01 Aug 2003
Cited by 1 | Viewed by 699
Abstract
Although magnetic wound cores have simple geometries, their magnetic properties vary in a complex manner depending on core geometry and dimensions etc. These parameters have a strong influence on magnetic performance of wound toroidal cores made from electrical steels or similar strip products. [...] Read more.
Although magnetic wound cores have simple geometries, their magnetic properties vary in a complex manner depending on core geometry and dimensions etc. These parameters have a strong influence on magnetic performance of wound toroidal cores made from electrical steels or similar strip products. Through theoretical evaluation and experimental measurements carried out over a few years, magnetic performance of a range of strip wound cores have been quantified at low and high frequency. Using this information a neural network model has been developed for prediction core magnetic field strength, power loss and permeability a wide range of flux density and frequency. Input parameters include variables such as core geometry; dimensions strip width and thickness, induction frequency and flux density. The developed network provides flexibility in the choice of training parameters. transfer functions and training algorithm thereby enhancing accuracy. Full article
Article
Prediction of Ratio of Mineral Substitution in the Production of Low-Clinker Factored Cement by Artificial Neural Network
Math. Comput. Appl. 2003, 8(2), 209-216; https://doi.org/10.3390/mca8020209 - 01 Aug 2003
Viewed by 796
Abstract
Artificial Neural Networks (ANN) has been widely used to solve some of the problems in science and engineering, which requires experimental analysis. Use of ANN in civil engineering applications started in late eighties. One of the important features of the ANN is its [...] Read more.
Artificial Neural Networks (ANN) has been widely used to solve some of the problems in science and engineering, which requires experimental analysis. Use of ANN in civil engineering applications started in late eighties. One of the important features of the ANN is its ability to learn from experience and examples and then to adapt with changing situations. Engineers often deal with incomplete and noisy data, which is one of the areas where ANN can easily be applied. Dealing with incomplete and noisy data is the conceptual stage of the design process. This paper shows practical guidelines for designing ANN for civil engineering applications. ANN is in cement industry: in the production of low-clinker factored cement, and in the derivation of composition of natural and artificial puzzolans in the production of high performance cement and concrete. By using ANN, a study to find out the optimum ratio of substitution and compression strengths was carried out. Full article
Article
Neural Network Using Genetic Algorithm for Magnetic Performance Prediction of Toroidal Wound Cores at 50 Hz
Math. Comput. Appl. 2003, 8(2), 201-208; https://doi.org/10.3390/mca8020201 - 01 Aug 2003
Cited by 1 | Viewed by 755
Abstract
Geometrical and building parameters have a strong influence on magnetic performance of toroidal wound cores made from grain oriented 3% SiFe electrical steel. From a sample of 40 cores with dimensions ranging from 35 to 160 mm outer diameter, 25 to 100 mm [...] Read more.
Geometrical and building parameters have a strong influence on magnetic performance of toroidal wound cores made from grain oriented 3% SiFe electrical steel. From a sample of 40 cores with dimensions ranging from 35 to 160 mm outer diameter, 25 to 100 mm inner diameter and JO to 70 mm strip width and a flux density range of 0.1 to 1.7 T have been obtained and used as training data to a generalised feedforward neural network. Full article
Article
Adaptive GIS Image Compression and Restoration Using Neural Networks
Math. Comput. Appl. 2003, 8(2), 191-200; https://doi.org/10.3390/mca8020191 - 01 Aug 2003
Cited by 2 | Viewed by 726
Abstract
This study aims to describe research into the field of GIS image compression, decompression and restoration. Geographical Information System (GIS) data comprises huge size into memory. For this purpose, it needs compression, which has high compression rate. But high compression rate cause of [...] Read more.
This study aims to describe research into the field of GIS image compression, decompression and restoration. Geographical Information System (GIS) data comprises huge size into memory. For this purpose, it needs compression, which has high compression rate. But high compression rate cause of some distortion and losses. Restoration is a process by which an image suffering some form of distortion or degradation can be recovered to its original form. The proposed windows-based image compression and restoration was implemented using Delphi. Full article
Article
A Neural Network Image Recognition for Control of Manufacturing Plant
Math. Comput. Appl. 2003, 8(2), 181-189; https://doi.org/10.3390/mca8020181 - 01 Aug 2003
Cited by 2 | Viewed by 904
Abstract
The aim of this work is to interpret the image for vision-based logic control of manufacturing plant. The images. which had been taken by an overhead fixed camera, were transformed with feature value by image preprocessing. A multi-layered neural network was used to [...] Read more.
The aim of this work is to interpret the image for vision-based logic control of manufacturing plant. The images. which had been taken by an overhead fixed camera, were transformed with feature value by image preprocessing. A multi-layered neural network was used to recognize randomly selected images of metallic pegs and plastic rings. Images, which are not recognized by the neural network, will be rejected and consequently the actuator will allow the objects to pass through. On the other hand, if the images are recognized by the neural network then the logic controller generates different type of action and the actuator pushes the object down. Full article
Article
The Simple Recurrent Formulas to Find a Sequences of Numbers Satisfying Equation x2+(x+1)2=z2 and the Properties of These Integers
Math. Comput. Appl. 2003, 8(2), 173-180; https://doi.org/10.3390/mca8020173 - 01 Aug 2003
Viewed by 674
Abstract
In this study, simple recurrent formulas have been found to form the sequence of Phythogorean triple. These three integers, any two of which are relatively prime numbers, are set up basic Phythogorean triple. The properties of these triples have been examined and classified. [...] Read more.
In this study, simple recurrent formulas have been found to form the sequence of Phythogorean triple. These three integers, any two of which are relatively prime numbers, are set up basic Phythogorean triple. The properties of these triples have been examined and classified. Full article
Article
On Some Sequence Spaces and Lacunary σ-Statistical Convergence
Math. Comput. Appl. 2003, 8(2), 165-172; https://doi.org/10.3390/mca8020165 - 01 Aug 2003
Cited by 2 | Viewed by 659
Abstract
In this note, we define and study two concepts which arise from the notion of lacunary strong convergence, and invariant means, namely lacunary strong σ- convergence with respect to an Orlizi function and lacunary a-statistical convergence and established the relationship between these two [...] Read more.
In this note, we define and study two concepts which arise from the notion of lacunary strong convergence, and invariant means, namely lacunary strong σ- convergence with respect to an Orlizi function and lacunary a-statistical convergence and established the relationship between these two concepts. Full article
Article
Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point
Math. Comput. Appl. 2003, 8(2), 159-164; https://doi.org/10.3390/mca8020159 - 01 Aug 2003
Cited by 3 | Viewed by 710
Abstract
A simply supported Euler-Bernoulli beam with an intermediate support is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. Approximate analytical solution of the problem is found using [...] Read more.
A simply supported Euler-Bernoulli beam with an intermediate support is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. Approximate analytical solution of the problem is found using the Method of Multiple Scales, a perturbation techniques. Ideal and non-ideal frequency response curves are contrasted. Full article
Article
Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom
Math. Comput. Appl. 2003, 8(2), 151-158; https://doi.org/10.3390/mca8020151 - 01 Aug 2003
Viewed by 686
Abstract
Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determined by incorporating the resonances. Approximate first integrals corresponding to these symmetries have been obtained by utilizing the approximate. version of the Noether’s theorem. Analytically obtained result has been compared [...] Read more.
Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determined by incorporating the resonances. Approximate first integrals corresponding to these symmetries have been obtained by utilizing the approximate. version of the Noether’s theorem. Analytically obtained result has been compared with the numerically obtained Poincaré’s surface of sections. Full article
Article
Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas
Math. Comput. Appl. 2003, 8(2), 143-150; https://doi.org/10.3390/mca8020143 - 01 Aug 2003
Cited by 2 | Viewed by 781
Abstract
Diffraction fields on the edge of a cylindrical parabolic reflector antenna are examined. Firstly canonical problem is defined for the edge of the antenna and study is reduced to a half plane scattering problem. Coordinate system is defined as the origin being the [...] Read more.
Diffraction fields on the edge of a cylindrical parabolic reflector antenna are examined. Firstly canonical problem is defined for the edge of the antenna and study is reduced to a half plane scattering problem. Coordinate system is defined as the origin being the edge of the reflector, so the feed became offset. Space is divided into two parts according to p and edge diffracted fields are calculated for the region where ρρ0. Obtained poorly divergent series are changed into complex integrals for k→∞ and these integrals are solved in the same conditions. Uniform expression of edge diffracted field is calculated by using Fresnel integrals. Full article
Article
Optimal Systems and Invariant Solutions for a Class of Soil Water Equations
Math. Comput. Appl. 2003, 8(2), 135-141; https://doi.org/10.3390/mca8020135 - 01 Aug 2003
Viewed by 728
Abstract
We construct an optimal system of one-dimensional subalgebras for a class of soil water equations and then use it to obtain an optimal system of two-dimensional subalgebras. We also present a few group-invariant solutions of rank one corresponding to an optimal system of [...] Read more.
We construct an optimal system of one-dimensional subalgebras for a class of soil water equations and then use it to obtain an optimal system of two-dimensional subalgebras. We also present a few group-invariant solutions of rank one corresponding to an optimal system of two-dimensional subalgebras. Full article
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