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Research ArticleOpen accessEvery word in the titleFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,347 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGreatest Common Divisor and Least Common Multiple Matrices on Factor Closed Sets in a Principal Ideal DomainA. N. El-Kassar, S. S. Habre, Y. A. AwadProblem statement: Let T be a set of n distinct positive integers, x1, x2, ..., xn. The n×n matrix [T] having (xi, xj), the greatest common divisor of xi and xj, as its (i,j)-entry is called the greatest common divisor (GCD) matrix on T. The matrix [[T]] whose (i,j)-entry is [xi, xj], the least common multiple of xi and xj, … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 8,380 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Efficient Algorithm for Mining Maximal Frequent Item SetsA. M.J.M.Z. Rahman, P. BalasubramanieProblem Statement: In today's life, the mining of frequent patterns is a basic problem in data mining applications. The algorithms which are used to generate these frequent patterns must perform efficiently. The objective was to propose an effective algorithm which generates frequent patterns in less time. Approach: We proposed an algorithm which was based on hashing technique and combines a … …Journal of Computer Science, Vol. 4, Issue 8 · 31 Aug 2008 · 6,570 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Extension of the Lomax Distribution with Statistical Properties and Applications to Failure and Service Times Data SetsMohamed K.A. RefaieIn this work, we introduce and study a new alternative Lomax model. The maximum likelihood method is used to estimate the unknown model parameters. We show empirically the importance and wide flexibility of the new model in modeling two types of failure times data sets. The new model is much better than the gamma Lomax, exponentiated Lomax, beta Lomax and … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 2 Feb 2019 · 7,573 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Reformed K-Nearest Neighbors Algorithm for Big Data SetsVo Ngoc Phu, Vo Thi Ngoc TranA Data Mining Has Already Had Many Algorithms Which A K-Nearest Neighbors Algorithm, K-NN, Is A Famous Algorithm For Researchers. K-NN Is Very Effective On Small Data Sets, However It Takes A Lot Of Time To Run On Big Datasets. Today, Data Sets Often Have Millions Of Data Records, Hence, It Is Difficult To Implement K-NN On Big Data. In … …Journal of Computer Science, Vol. 14, Issue 9 · 8 Mar 2018 · 7,477 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEnhanced Decision Support System Applications Based on Complex Intuitionistic Fuzzy Soft Expert Sets TheoryMalek Alksasbeh, Mohammad Al-kaseasbeh, Saba Al-Kaseasbeh et al.Decision making is one of the important milestones in the development of various real-life aspects. Decision Support System (DSS) is a computerized information system used to enhance decision-making in several areas. This study aims to improve DSS applications by extending two concepts of complex intuitionistic fuzzy sets and soft expert sets to propose the theory of complex intuitionistic fuzzy soft … …Journal of Computer Science, Vol. 14, Issue 5 · 27 Nov 2017 · 7,768 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTwo New Formulas for Generating Infinite Sets of Integer Numbers as a Sum of Two and Three Signed Cubic NumbersRand Alfaris, Hailiza KamarulhailiProblem statement: Two new families are introduced for generating infinite sets of integers by the summation of two and three signed cubic numbers. Approach: These two families have reduced the number of representation of finite sets of integer as a sum of cubic numbers from four cubes to two and three signed cubes. Results: It is also shown that not … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,075 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAdaptive Resonance Theory Training Parameters: Pretty Good SetsTaisir Mohammad Eldos, Abdulaziz Suleiman AlmazyadProblem statement: ART1 artificial neural networks offer good tools for test clustering, where no expert is needed if the system is well trained. However, having no output reference for the input patterns makes it hard to judge the quality of the training. Moreover, the performance depends to a great extent on a set of training parameters. Designers follow some recommendations … …Journal of Computer Science, Vol. 6, Issue 12 · 6 Nov 2010 · 7,161 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleLower-Dimensional Feature Sets for Template-Based Motion Recognition ApproachesMd. Atiqur Rahman Ahad, J. Tan, H. Kim, S. IshikawaProblem statement: In template-based motion recognition approaches, feature sets are computed from the template for classification. Hu invariants are widely employed for this purpose since its inception. However, development of lower-dimensional feature vector sets is required for faster computation along with robust recognition. The concept of reduced size of Hu moment is really interesting. From its inception, seven higher orders … …Journal of Computer Science, Vol. 6, Issue 8 · 31 Aug 2010 · 7,748 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Digital Signature Scheme Based on Mandelbrot and Julia Fractal SetsMohammad Ahmad Alia, Azman Bin SamsudinThis paper describes a new cryptographic digital signature scheme based on Mandelbrot and Julia fractal sets. Having fractal based digital signature scheme is possible due to the strong connection between the Mandelbrot and Julia fractal sets. The link between the two fractal sets used for the conversion of the private key to the public key. Mandelbrot fractal function takes the … …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 6,964 accessesView PDFCite