Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4437f
Jean Carlos Hrycyk, I. W. Soares, L. T. W. Agner
The increasing use of mobile devices encourages mobile app development. However, the competitive market demands quality software in reduced time. This research encourages the use of Object Constraint Language rules to support the development of mobile application models in Model Driven Engineering.
{"title":"Encouraging the use of Object Constraint Language Rules to Facilitate the Creation of Mobile Applications","authors":"Jean Carlos Hrycyk, I. W. Soares, L. T. W. Agner","doi":"10.9734/bpi/ctmcs/v10/4437f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4437f","url":null,"abstract":"The increasing use of mobile devices encourages mobile app development. However, the competitive market demands quality software in reduced time. This research encourages the use of Object Constraint Language rules to support the development of mobile application models in Model Driven Engineering.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"401 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116678933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4169f
Javier Joglar Alcubilla
Many standard compression methods are based, at their most basic level, on coding digital words of variable length, or VLC, Huffman type, designed in 1952, or any of its variants, as canonical. This article describes a VLC called "Leveling" that is more efficient than Huffman encoding and employs two variants: "Leveled Reordering" for low redundancy, such as text, and "Segmented Leveling" for moderate and high redundancy, such as image processing. Leveling, invented by Javier Joglar in 1995, employs the notions of "meaning" and "ordering" of the VLC codes generated to achieve the highest "compression ratio" of any non-adaptive VLC.
{"title":"An Efficient VLC for Lossless Data Compression: Leveling","authors":"Javier Joglar Alcubilla","doi":"10.9734/bpi/ctmcs/v10/4169f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4169f","url":null,"abstract":"Many standard compression methods are based, at their most basic level, on coding digital words of variable length, or VLC, Huffman type, designed in 1952, or any of its variants, as canonical. This article describes a VLC called \"Leveling\" that is more efficient than Huffman encoding and employs two variants: \"Leveled Reordering\" for low redundancy, such as text, and \"Segmented Leveling\" for moderate and high redundancy, such as image processing. Leveling, invented by Javier Joglar in 1995, employs the notions of \"meaning\" and \"ordering\" of the VLC codes generated to achieve the highest \"compression ratio\" of any non-adaptive VLC.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115780347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4153f
A. Walaszek-Babiszewska
The main purpose of this chapter is to propose a mathematical method to fuzzy control of the stochastic-fuzzy object. The proposed hybrid method uses both the stochastic–fuzzy knowledge base describing the object under control, as well as the large scale data to calculate probabilities of fuzzy conditional statements in the knowledge base. This study includes: the presentation of multistage fuzzy optimization methods with reference to the dynamical discrete systems represented by deterministic, stochastic and fuzzy models (paragraph 2); the proposition of modeling stochastic-fuzzy object under control in the form of knowledge base (paragraph 3). Exemplary calculations illustrate the theoretical description.
{"title":"Applications of a Stochastic–Fuzzy Approach to Modeling and Optimal Control of Discrete Time Systems by Using Large Scale Data Processing: An advanced Approach","authors":"A. Walaszek-Babiszewska","doi":"10.9734/bpi/ctmcs/v10/4153f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4153f","url":null,"abstract":"The main purpose of this chapter is to propose a mathematical method to fuzzy control of the stochastic-fuzzy object. The proposed hybrid method uses both the stochastic–fuzzy knowledge base describing the object under control, as well as the large scale data to calculate probabilities of fuzzy conditional statements in the knowledge base. \u0000This study includes: the presentation of multistage fuzzy optimization methods with reference to the dynamical discrete systems represented by deterministic, stochastic and fuzzy models (paragraph 2); the proposition of modeling stochastic-fuzzy object under control in the form of knowledge base (paragraph 3). Exemplary calculations illustrate the theoretical description.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129785616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4219f
Yassine Rdiouat, W. Dachry, A. Semma
Information systems are compelled to adapt by developing agility abilities in order to respond effectively to rapid and unforeseen changes in the business environment, so the organization can grow or even survive in this changing environment. As a result, organizations must be given guidance on how to design, measure, and enhance the agility of their information systems. An iterative, integrated, flexible, and balanced framework has been established in this area. The ITAAM (Information Technology Agility Assessment Model) framework is based on a simple model developed from the Balanced ScoreCard approach, which is extensively used as a performance measuring system. Our approach is made up of a conceptual framework, an evaluation methodology, an agility grid, and a scoring system to compute the Global Agility Index. Furthermore, throughout each evaluation cycle, the agility level is detected, and a set of recommendations, as well as the appropriate organizational adjustment guidelines, are offered. As a result, we can ensure long-term viability and ongoing agility improvement, which is the primary purpose of our new structure. We believe that the framework can be adapted and generalized by sector of activities or by group of sectors that have common concerns and almost the same issues (level of competition, competitiveness, changes, etc.).
{"title":"An Adaptive Approach to Design, Measure and Improve IT Agility: ITAAM Framework","authors":"Yassine Rdiouat, W. Dachry, A. Semma","doi":"10.9734/bpi/ctmcs/v10/4219f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4219f","url":null,"abstract":"Information systems are compelled to adapt by developing agility abilities in order to respond effectively to rapid and unforeseen changes in the business environment, so the organization can grow or even survive in this changing environment. As a result, organizations must be given guidance on how to design, measure, and enhance the agility of their information systems. An iterative, integrated, flexible, and balanced framework has been established in this area. The ITAAM (Information Technology Agility Assessment Model) framework is based on a simple model developed from the Balanced ScoreCard approach, which is extensively used as a performance measuring system. Our approach is made up of a conceptual framework, an evaluation methodology, an agility grid, and a scoring system to compute the Global Agility Index. Furthermore, throughout each evaluation cycle, the agility level is detected, and a set of recommendations, as well as the appropriate organizational adjustment guidelines, are offered. As a result, we can ensure long-term viability and ongoing agility improvement, which is the primary purpose of our new structure. We believe that the framework can be adapted and generalized by sector of activities or by group of sectors that have common concerns and almost the same issues (level of competition, competitiveness, changes, etc.).","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114625899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4442f
Partha Ghosh
In theory of fuzzy concept lattice, generating fuzzy concepts from a given data with fuzzy attributes is one of the fundamental problem. Since fuzzy concepts are the fixpoints of a particular fuzzy operator that is associated with input data, the problem of generating fuzzy concepts turn out to be the problem of computing all fixpoints of this operator. In this article, we have established ten rules for generating fixpoints of two fuzzy closure operators, (uparrowdownarrow) and (downarrowuparrow). Then unifying all the proposed rules, we present a new method and algorithm for computing fixpoints (fuzzy concepts) which are defined as min-generated fuzzy concepts.
{"title":"Determining the Rules for Computing Fixpoints and Introduction of Min-generated Fuzzy Concepts from a Fuzzy Context","authors":"Partha Ghosh","doi":"10.9734/bpi/ctmcs/v10/4442f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4442f","url":null,"abstract":"In theory of fuzzy concept lattice, generating fuzzy concepts from a given data with fuzzy attributes is one of the fundamental problem. Since fuzzy concepts are the fixpoints of a particular fuzzy operator that is associated with input data, the problem of generating fuzzy concepts turn out to be the problem of computing all fixpoints of this operator. In this article, we have established ten rules for generating fixpoints of two fuzzy closure operators, (uparrowdownarrow) and (downarrowuparrow). Then unifying all the proposed rules, we present a new method and algorithm for computing fixpoints (fuzzy concepts) which are defined as min-generated fuzzy concepts.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128504249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/12979d
Xingbo Wang, Junjian Zhong
The paper proves that an odd composite integer N can be factorized in O ((log2N)4) bit operations if N = pq, the divisor q is of the form 2(alpha)u +1 or 2(alpha)u-1 with u being an odd integer and (alpha) being a positive integer and the other divisor p satisfies 1 < p (leq) 2(alpha) +1 or 2(alpha) +1 < p (leq) 2(alpha)+1-1. Theorems and corollaries are proved with detail mathematical reasoning. Algorithm to factorize the odd composite integers is designed and tested in Maple. The results in the paper demonstrate that fast factorization of odd integers is possible with the help of valuated binary tree.
证明了奇数复合整数N可以在O ((log2N)4)位运算中分解，如果N = pq，其除数q的形式为2 (alpha) u +1或2 (alpha) u-1，其中u为奇数，(alpha)为正整数，另一个除数p满足1 < p (leq) 2 (alpha) +1或2 (alpha) +1 < p (leq) 2 (alpha) +1-1。用详细的数学推理证明了定理和推论。在Maple中设计并测试了奇组合整数的因式分解算法。本文的结果证明了利用赋值二叉树对奇数进行快速分解是可能的。
{"title":"Fast Approach to Factorize Odd Integers: An algorithm Based Study","authors":"Xingbo Wang, Junjian Zhong","doi":"10.9734/bpi/ctmcs/v10/12979d","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/12979d","url":null,"abstract":"The paper proves that an odd composite integer N can be factorized in O ((log2N)4) bit operations if N = pq, the divisor q is of the form 2(alpha)u +1 or 2(alpha)u-1 with u being an odd integer and (alpha) being a positive integer and the other divisor p satisfies 1 < p (leq) 2(alpha) +1 or 2(alpha) +1 < p (leq) 2(alpha)+1-1. Theorems and corollaries are proved with detail mathematical reasoning. Algorithm to factorize the odd composite integers is designed and tested in Maple. The results in the paper demonstrate that fast factorization of odd integers is possible with the help of valuated binary tree.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125474801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/1890c
Pratibha Kumar
In this chapter the author attempts to fuzzify the concepts of prime, primary submodules and the radical of a fuzzy submodule. These concepts are studied in terms of their level submodules. Some properties of quotient of a fuzzy submodule and the intersection of two fuzzy primary submodules are discussed. The algebraic nature of fuzzy prime submodules and radical of fuzzy prime submodule is also carried out. Finally, fuzzy cosets of fuzzy submodules are also defined.
{"title":"Study on Fuzzy Primes and Primary Submodules","authors":"Pratibha Kumar","doi":"10.9734/bpi/ctmcs/v10/1890c","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/1890c","url":null,"abstract":"In this chapter the author attempts to fuzzify the concepts of prime, primary submodules and the radical of a fuzzy submodule. These concepts are studied in terms of their level submodules. Some properties of quotient of a fuzzy submodule and the intersection of two fuzzy primary submodules are discussed. The algebraic nature of fuzzy prime submodules and radical of fuzzy prime submodule is also carried out. Finally, fuzzy cosets of fuzzy submodules are also defined.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117175578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/4432f
S. Mondal, S. Debsarma
For problems involving aseismic ground deformation in seismically active areas, numerical approaches based on the finite element scheme with discontinuity have been developed. We emphasise the utility of such numerical techniques in tackling geodynamics problems. In a viscoelastic half space representing the lithosphere-asthenosphere system, a long strike-slip fault is considered. Under the influence of tectonic forces caused by mantle convection, the fault moves abruptly. The ensuing boundary value issues were solved using a numerical technique based on a finite element scheme with proper boundary conditions that was developed specifically for the task. The numerical algorithms described here can be tweaked to solve more general deformation issues where analytical methods become too complex. Appropriate modifications can also be incorporated in our model in case when the tectonic forces are not anti-symmetric in nature as well as fault plane is not vertical.
{"title":"Numerical Modelling of Aseismic Ground Deformation Problem","authors":"S. Mondal, S. Debsarma","doi":"10.9734/bpi/ctmcs/v10/4432f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4432f","url":null,"abstract":"For problems involving aseismic ground deformation in seismically active areas, numerical approaches based on the finite element scheme with discontinuity have been developed. We emphasise the utility of such numerical techniques in tackling geodynamics problems. In a viscoelastic half space representing the lithosphere-asthenosphere system, a long strike-slip fault is considered. Under the influence of tectonic forces caused by mantle convection, the fault moves abruptly. The ensuing boundary value issues were solved using a numerical technique based on a finite element scheme with proper boundary conditions that was developed specifically for the task. The numerical algorithms described here can be tweaked to solve more general deformation issues where analytical methods become too complex. Appropriate modifications can also be incorporated in our model in case when the tectonic forces are not anti-symmetric in nature as well as fault plane is not vertical.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114778899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-30DOI: 10.9734/bpi/ctmcs/v10/11270d
Sunita Khurana, Shakti Banerjee
Orthogonal arrays such as factorial and fractional factorial designs of experimental plans are used for identifying important factors to improve quality of an experiment. Super Saturated designs are very cost-effective in the stage of scientific investigations. Nearly-Orthogonal arrays that can construct a variety of small-run designs with different levels have good statistical properties. In the present paper Super Saturated design and Nearly Orthogonal design are constructed with Orthogonal design. It is a great deal of interest in the development of factor screening experiments that are optimal or highly efficient under the E (s2) and J2 criterion.
{"title":"The Development of a Method for Constructing Super Saturated Design and Nearly Orthogonal Design with Mixed Level Orthogonal Design","authors":"Sunita Khurana, Shakti Banerjee","doi":"10.9734/bpi/ctmcs/v10/11270d","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/11270d","url":null,"abstract":"Orthogonal arrays such as factorial and fractional factorial designs of experimental plans are used for identifying important factors to improve quality of an experiment. Super Saturated designs are very cost-effective in the stage of scientific investigations. Nearly-Orthogonal arrays that can construct a variety of small-run designs with different levels have good statistical properties. In the present paper Super Saturated design and Nearly Orthogonal design are constructed with Orthogonal design. It is a great deal of interest in the development of factor screening experiments that are optimal or highly efficient under the E (s2) and J2 criterion.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116297103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.9734/bpi/ctmcs/v10/4225f
M. Ghinea, G. Deac, C. Georgescu
One of the pylons of the Industry 4.0 is augmented and virtual reality. It can improve the perception on the industrial processes in real time and more. The purpose of these research is to obtain a starting point regarding the actual abilities to enlarge the use of VR HMDs (e.g.: HTC Vive, Oculus Rift, etc.), assembling into a unique application, Virtual and Augmented Reality with Gesture Interaction. The project relies on the Leap Motion controller. This controller have an integrated infrared depth camera wich can be used as an input video feed for stereoscopic view on Oculus Rift, in the same time, projecting the raw images of your hands into a 3D mesh that can interact with other objects in real-world space (in our case a 3D model of a complex product). The pass through from the twin Leap Motion cameras covers the part of the mesh such that each camera assures a distinct view of the hands, letting you see the actual depth. We can interact with the 3D model and show some functional animations. We present a part of a industrial application of VR used into a common industry (door locks manufacturing industry), which can be useful for research and for training and advertising too.
{"title":"Training Application for Industries by Means of Virtual Reality Technology: A Recent Study","authors":"M. Ghinea, G. Deac, C. Georgescu","doi":"10.9734/bpi/ctmcs/v10/4225f","DOIUrl":"https://doi.org/10.9734/bpi/ctmcs/v10/4225f","url":null,"abstract":"One of the pylons of the Industry 4.0 is augmented and virtual reality. It can improve the perception on the industrial processes in real time and more. The purpose of these research is to obtain a starting point regarding the actual abilities to enlarge the use of VR HMDs (e.g.: HTC Vive, Oculus Rift, etc.), assembling into a unique application, Virtual and Augmented Reality with Gesture Interaction. The project relies on the Leap Motion controller. This controller have an integrated infrared depth camera wich can be used as an input video feed for stereoscopic view on Oculus Rift, in the same time, projecting the raw images of your hands into a 3D mesh that can interact with other objects in real-world space (in our case a 3D model of a complex product). The pass through from the twin Leap Motion cameras covers the part of the mesh such that each camera assures a distinct view of the hands, letting you see the actual depth. We can interact with the 3D model and show some functional animations. We present a part of a industrial application of VR used into a common industry (door locks manufacturing industry), which can be useful for research and for training and advertising too.","PeriodicalId":364769,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 10","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134379067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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