-
Reducing Computational Time of Principal Component Analysis with Chinese Remainder Theorem
Madandola Tajudeen Niyi,
Gbolagade Kazeem Alagbe
Issue:
Volume 4, Issue 1, June 2019
Pages:
1-7
Received:
1 February 2019
Accepted:
12 March 2019
Published:
30 March 2019
Abstract: It is of paramount importance to establish an identity of citizenry to curb criminalities. Principal Component Analysis (PCA) which is one of the foremost methods for feature extraction and feature selection is adopted for identification and authentication of people. The computational time used by PCA is too much and Chinese Remainder Theorem was employed to reduce its computational time. TOAM database was setup which contained 120 facial images of 40 persons frontal faces with 3 images of each individual. 80 images were used for training while 40 were used for testing. Training time and testing time were used as performance metrics to determine the effect of CRT on PCA in terms of computational time. The experimenal results indicated an average training time of 13.5128 seconds and average testing time of 1.5475 second for PCA while PCA-CRT average training time is 13.2387 seconds and average testing time of 1.5185 seconds. Column chart was used to show the graphical relationship between PCA and PCA-CRT Training time and testing time. The research revealed that CRT reduce PCA computational time.
Abstract: It is of paramount importance to establish an identity of citizenry to curb criminalities. Principal Component Analysis (PCA) which is one of the foremost methods for feature extraction and feature selection is adopted for identification and authentication of people. The computational time used by PCA is too much and Chinese Remainder Theorem was e...
Show More
-
A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India
Issue:
Volume 4, Issue 1, June 2019
Pages:
8-20
Received:
3 February 2019
Accepted:
8 March 2019
Published:
2 April 2019
Abstract: Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.
Abstract: Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices p...
Show More
-
Performance Comparison of Various Kernels of Support Vector Regression for Predicting Option Price
Biplab Madhu,
Arindam Kumar Paul,
Raju Roy
Issue:
Volume 4, Issue 1, June 2019
Pages:
21-31
Received:
6 February 2019
Accepted:
18 March 2019
Published:
10 April 2019
Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV) were presented. Characteristic modes of the regulatory of the interrelated activity of the molecular genetic mechanisms of the liver cells and viruses of hepatitis B are analyzed. The features of the area of the chaotic regime regulatory related activities of molecular genetic mechanisms of the hepatocyte and HBV by analyzing the dynamics of the Lyapunov exponent. Defined small regions with regular behavior - "r-windows" in the field of dynamic chaos. The regulatory of the hepatocyte and HBV can be moved from the region of dynamic chaos to normal region by using "r-windows". The results of the computational experiment on the quantitative analysis of the regulatory of liver cell and HBV are presented.
Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV)...
Show More
-
Computer Simulations of Regulatory Mechanisms of Hepatocyte with Hepatitis B Viruses Interconnected Dynamics
Mahruy Saidalieva,
Mohiniso Baxromovna Hidirova,
Abrorjon Maxamatsoliyevich Turgunov
Issue:
Volume 4, Issue 1, June 2019
Pages:
32-37
Received:
13 February 2019
Accepted:
13 March 2019
Published:
10 April 2019
Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV) were presented. Characteristic modes of the regulatory of the interrelated activity of the molecular genetic mechanisms of the liver cells and viruses of hepatitis B are analyzed. The features of the area of the chaotic regime regulatory related activities of molecular genetic mechanisms of the hepatocyte and HBV by analyzing the dynamics of the Lyapunov exponent. Defined small regions with regular behavior - "r-windows" in the field of dynamic chaos. The regulatory of the hepatocyte and HBV can be moved from the region of dynamic chaos to normal region by using "r-windows". The results of the computational experiment on the quantitative analysis of the regulatory of liver cell and HBV are presented.
Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV)...
Show More
-
A Lot of Examples of Generalized Weak Bi-Frobenius Algebras
Issue:
Volume 4, Issue 1, June 2019
Pages:
38-44
Received:
23 February 2019
Accepted:
4 April 2019
Published:
26 April 2019
Abstract: In this paper, by considering the tensor product of a bi-Frobenius algebra and a weak Hopf algebra, a lot of examples of the generalized weak bi-Frobenius algebras are given, such as the 16-dimensional, 24-dimensional and 40-dimensional GWBF algebras. They provide a common generalization of weak Hopf algebras introduced by Böhm, Nill, Szlachányi, and of bi-Frobenius algebras introduced by Doi and Takeuchi.
Abstract: In this paper, by considering the tensor product of a bi-Frobenius algebra and a weak Hopf algebra, a lot of examples of the generalized weak bi-Frobenius algebras are given, such as the 16-dimensional, 24-dimensional and 40-dimensional GWBF algebras. They provide a common generalization of weak Hopf algebras introduced by Böhm, Nill, Szlachányi, a...
Show More
-
(Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces
Senthil,
Nithya,
Suryadevi,
David Chandrakumar
Issue:
Volume 4, Issue 1, June 2019
Pages:
45-51
Received:
15 February 2019
Accepted:
19 March 2019
Published:
6 May 2019
Abstract: In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative.
-
New Non-binary Quantum Codes Over Fq+uFq+vFq+uvFq
Issue:
Volume 4, Issue 1, June 2019
Pages:
52-56
Received:
24 February 2019
Accepted:
10 April 2019
Published:
6 May 2019
Abstract: Let R= Fq+uFq+vFq+uvFq be a commutative ring with u2=u, v2=v, uv=vu, where q is a power of an odd prime. Ashraf and Mohammad constructed some new quantum codes from cyclic codes. Under this background, another Gray map from R to Fq4 is given. This map can be naturally extended to Rn. The problem on the ring turns to the field by this isomorphic map now. Therefore, This mapping is obviously a weight-preserving and distance-preserving map. The results show that the codes after mapping are self-orthogonal codes over Fq if they are self-orthogonal codes over R. Some computational examples show that some better non-binary quantum codes can be obtained under this Gray map. We discuss the structure of linear codes. On this basis, the structure of the generating matrix of linear codes is obtained. The structure of their dual codes is also obtained. The CSS construction guarantees the existence of quantum codes. Finally, with the help of the CSS construction, we get some good quantum codes. By comparison, our quantum codes have better parameters.
Abstract: Let R= Fq+uFq+vFq+uvFq be a commutative ring with u2=u, v2=v, uv=vu, where q is a power of an odd prime. Ashraf and Mohammad constructed some new quantum codes from cyclic codes. Under this background, another Gray map from R to Fq4 is given. This map can be naturally extended to Rn. The problem on the ring turns to the field by this isomorphic map...
Show More
-
On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph
Hifza Iqbal,
Jabeen,
Zeeshan Saleem Mufti,
Muhammad Ozair Ahmad
Issue:
Volume 4, Issue 1, June 2019
Pages:
56-60
Received:
25 February 2019
Accepted:
8 April 2019
Published:
6 May 2019
Abstract: Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity index, geometric arithmatic index, Randic index, sum connectivity index and augmented Zagreb index are computed for subdivided friendship graph and line graph of subdivided friendship graph.
Abstract: Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity...
Show More
