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Studies on Association Rule-based Table Data Analysis and its Applications - New Mathematics for Data Sciences - (An Invited Tutorial Paper) 基于关联规则的表数据分析及其应用研究-数据科学的新数学-(特邀指导论文)
Journal of Combinatorics, Information & System Sciences Pub Date : 2023-09-15 DOI: 10.32381/jciss.2021.46.1-4.3
Hiroshi Sakai
{"title":"Studies on Association Rule-based Table Data Analysis and its Applications - New Mathematics for Data Sciences - (An Invited Tutorial Paper)","authors":"Hiroshi Sakai","doi":"10.32381/jciss.2021.46.1-4.3","DOIUrl":"https://doi.org/10.32381/jciss.2021.46.1-4.3","url":null,"abstract":"This tutorial paper will survey the research on association rule-based table data analysis and its application. The proposed methods obtain helpful information from discrete table data through rules, which differs from statistical table data analysis by mean or variance. Regression expressions in continuous value table data can characterize past data and predict future data values. The same will hold for rules in discrete value table data. This tutorial paper consists of the following three parts. Part I: Background and Examples of Rule Generation from Tables Part II: Mathematical Research of Rule Generation from Tables Part III: Realization of Software Tools and Applications. We introduce the research trends in this field widely through three parts.","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135486618","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}
引用次数: 0
Bilevel Optimization and Conjectural Equilibrium: Theoretical Results and Numerical Algorithms (An Invited Tutorial Paper) 双层优化与推测均衡:理论结果与数值算法(特邀教学论文)
Journal of Combinatorics, Information & System Sciences Pub Date : 2023-09-15 DOI: 10.32381/jciss.2021.46.1-4.2
Nataliya Kalashnykova, Viacheslav Kalashnikov, José Guadalupe Flores-Muñiz
{"title":"Bilevel Optimization and Conjectural Equilibrium: Theoretical Results and Numerical Algorithms (An Invited Tutorial Paper)","authors":"Nataliya Kalashnykova, Viacheslav Kalashnikov, José Guadalupe Flores-Muñiz","doi":"10.32381/jciss.2021.46.1-4.2","DOIUrl":"https://doi.org/10.32381/jciss.2021.46.1-4.2","url":null,"abstract":"We study a mixed oligopoly model, including a nonprivate firm that maximizes the convex combination of domestic social surplus and net profit, under the concepts of consistent conjectural variations (CCVE), Cournot–Nash, and perfect competition equilibria and analyze the behavior of these equilibria. We compare the results to develop an optimality criterion for a parameter, decided by the nonprivate firm, known as socialization level. To work with the CCVE, we need to define the concept of consistency; hence, we also consider a classic oligopoly, which only includes private firms that maximize net profit, and reformulated it as a non-cooperative game, named meta-game, where the players (the private firms) select a conjecture as their strategies; then, we prove that the Nash equilibrium for the meta-game implies the CCVE. After that, due to its similarities with the meta-game, we study the Tolls Optimization Problem (TOP). Taking advantage of the sensitivity analysis for convex quadratic optimization and the filled function method; then, we present an efficient algorithm to solve the TOP. Finally, we apply these results to a financial model in which a group of sectors buy, sell, or exchange a set of instruments; each sector faces some uncertainty when selecting its assets and liabilities to optimize its portfolio structure. The problem is modeled using the concepts of conjectural variations and meta-game and we present results concerning the CCVE.","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135486760","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}
引用次数: 0
Algebras and Logics Emerging Out of Rough Sets (An Invited Review Paper) 粗糙集衍生的代数与逻辑(特邀评论论文)
Journal of Combinatorics, Information & System Sciences Pub Date : 2023-09-15 DOI: 10.32381/jciss.2021.46.1-4.4
Mihir Kumar Chakraborty, Masiur Rahaman Sardar
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引用次数: 0
System of Caputo Fractional Differential Equations with Applications to Predator and Prey Model Caputo分数阶微分方程组及其在捕食者和猎物模型中的应用
Journal of Combinatorics, Information & System Sciences Pub Date : 2023-09-15 DOI: 10.32381/jciss.2021.46.1-4.1
Aghalaya S. Vatsala Vatsala, Govinda Pageni
{"title":"System of Caputo Fractional Differential Equations with Applications to Predator and Prey Model","authors":"Aghalaya S. Vatsala Vatsala, Govinda Pageni","doi":"10.32381/jciss.2021.46.1-4.1","DOIUrl":"https://doi.org/10.32381/jciss.2021.46.1-4.1","url":null,"abstract":"In this research article, we provide a methodology to solve the three systems of qth order linear Caputo fractional differential equations, where 0 < q < 1. Since the Caputo derivative is in the convolution form, we can apply the Laplace transform technique. The solution of the two linear system can be used as a tool to study the stability of the equilibrium solution of the Lotka-Volterra predator-prey model. We have referenced three system SIR model in this work. Due to the global nature of the Caputo derivative, the solution obtained is closer to the real data than the integer derivative.","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135486747","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}
引用次数: 0
Algorithms for the Polar Decomposition in Certain Groups and the Quaternion Tensor Square 若干群的极分解算法和四元数张量平方
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.1
Francis Adjei, M. Cisneros, Deep Desai, Samreen Khan, V. Ramakrishna, Brandon Whiteley
{"title":"Algorithms for the Polar Decomposition in Certain Groups and the Quaternion Tensor Square","authors":"Francis Adjei, M. Cisneros, Deep Desai, Samreen Khan, V. Ramakrishna, Brandon Whiteley","doi":"10.32381/JCISS.2019.44.1-4.1","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.1","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122268873","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}
引用次数: 1
One Dimensional Sub-hyperbolic Equation via Sequential Caputo Fractional Derivative 一维次双曲方程的顺序卡普托分数阶导数
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.6
A. Vatsala, Yu-Qin Bai
{"title":"One Dimensional Sub-hyperbolic Equation via Sequential Caputo Fractional Derivative","authors":"A. Vatsala, Yu-Qin Bai","doi":"10.32381/JCISS.2019.44.1-4.6","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.6","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116722115","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}
引用次数: 0
Limit Formulas Related to q-Gamma and q-Digamma Functions at their Singularities 与q-和q-二函数在奇点处有关的极限公式
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.5
Sourav Das, A. Swaminathan
{"title":"Limit Formulas Related to q-Gamma and q-Digamma Functions at their Singularities","authors":"Sourav Das, A. Swaminathan","doi":"10.32381/JCISS.2019.44.1-4.5","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.5","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121841097","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}
引用次数: 0
Cyber – Physical Systems: Mathematics, Logic and Computation 网络物理系统:数学、逻辑和计算
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.9
T. Gopal
{"title":"Cyber – Physical Systems: Mathematics, Logic and Computation","authors":"T. Gopal","doi":"10.32381/JCISS.2019.44.1-4.9","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.9","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121978643","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}
引用次数: 1
Legendre Wavelet based Solution to Burgers’ and Coupled Burgers’ Equation 基于Legendre小波的Burgers方程及耦合Burgers方程解
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.8
K. H. Kumar, Ram Jiwari
{"title":"Legendre Wavelet based Solution to Burgers’ and Coupled Burgers’ Equation","authors":"K. H. Kumar, Ram Jiwari","doi":"10.32381/JCISS.2019.44.1-4.8","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.8","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126587029","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}
引用次数: 0
Some Interesting Properties of the Matrix Classes (l,c) and (l,c;P′) 矩阵类(l,c)和(l,c;P ')的一些有趣性质
Journal of Combinatorics, Information & System Sciences Pub Date : 2020-12-30 DOI: 10.32381/JCISS.2019.44.1-4.16
P. Natarajan, Old No., New No., Second Main Road R.A. Puram Chennai India
{"title":"Some Interesting Properties of the Matrix Classes (l,c) and (l,c;P′)","authors":"P. Natarajan, Old No., New No., Second Main Road R.A. Puram Chennai India","doi":"10.32381/JCISS.2019.44.1-4.16","DOIUrl":"https://doi.org/10.32381/JCISS.2019.44.1-4.16","url":null,"abstract":"","PeriodicalId":319777,"journal":{"name":"Journal of Combinatorics, Information & System Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129883695","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}
引用次数: 0
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