首页 > 最新文献

Mathematical foundations of computing最新文献

英文 中文
Ideal convergence in modified IFNS and $ mathcal{L} $-fuzzy normed space 修正IFNS和$ mathcal{L} $-模糊赋范空间的理想收敛性
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023044
Vakeel A. Khan, Mikail Et, Izhar Ali Khan
This paper aims to present the concept of $ I $ & $ I^* $ convergence and $ s_p $- $ I $ convergence along with the $ I $ Cauchy criterion in $ mathcal{L} $-fuzzy normed space (in short $ mathcal{L} $-FNS). Characterizations of these notions in $ mathcal{L} $-FNS have been shown in the paper. This paper also presents how these notions are related to each other in $ mathcal{L} $-FNS. We have also given certain important counter-examples to establish the relationships between them. In addition, we introduce the $ mathcal{L} $ -fuzzy limit points and $ mathcal{L} $-fuzzy cluster points of a sequence in $ mathcal{L} $-FNS.
本文旨在提出$ I $ &$ mathcal{L} $-fuzzy赋范空间(简称$ mathcal{L} $- fns)中$ I^* $收敛性和$ s_p $- $ I $收敛性。本文给出了这些概念在$ mathcal{L} $-FNS中的刻画。本文还介绍了这些概念在$ mathcal{L} $-FNS中的相互关系。我们还给出了一些重要的反例来建立它们之间的关系。此外，我们在$ mathcal{L} $-FNS中引入了序列的$ mathcal{L} $-fuzzy极限点和$ mathcal{L} $-fuzzy聚类点。
{"title":"Ideal convergence in modified IFNS and $ mathcal{L} $-fuzzy normed space","authors":"Vakeel A. Khan, Mikail Et, Izhar Ali Khan","doi":"10.3934/mfc.2023044","DOIUrl":"https://doi.org/10.3934/mfc.2023044","url":null,"abstract":"This paper aims to present the concept of $ I $ & $ I^* $ convergence and $ s_p $- $ I $ convergence along with the $ I $ Cauchy criterion in $ mathcal{L} $-fuzzy normed space (in short $ mathcal{L} $-FNS). Characterizations of these notions in $ mathcal{L} $-FNS have been shown in the paper. This paper also presents how these notions are related to each other in $ mathcal{L} $-FNS. We have also given certain important counter-examples to establish the relationships between them. In addition, we introduce the $ mathcal{L} $ -fuzzy limit points and $ mathcal{L} $-fuzzy cluster points of a sequence in $ mathcal{L} $-FNS.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135559814","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 new fractional integral inequalities for $ (h_ {1}, h_ {2})- $convex functions $ (h_ {1}， h_{2})- $凸函数的一些新的分数积分不等式
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023040
Xiaoyue Han, Run Xu
In this paper, some Hermite-Hadamard integral inequalities and Hermite-Hadamard-Fejér integral inequalities involving Atangana-Baleanu fractional integral operators via $ (h_ {1}, h_ {2})- $convex functions and $ (h_ {1}, h_ {2})- $concave functions are established. Then, according to an integral equation with Atangana-Baleanu fractional integral operators, some Hermite-Hadamard integral inequalities for second order differentiable convex maps are given.
本文通过$ (h_ {1}， h_{2})- $凸函数和$ (h_ {1}， h_{2})- $凹函数建立了一些涉及Atangana-Baleanu分数积分算子的Hermite-Hadamard- fej积分不等式和Hermite-Hadamard- fejamer积分不等式。然后，根据带有Atangana-Baleanu分数阶积分算子的积分方程，给出了二阶可微凸映射的Hermite-Hadamard积分不等式。
{"title":"Some new fractional integral inequalities for $ (h_ {1}, h_ {2})- $convex functions","authors":"Xiaoyue Han, Run Xu","doi":"10.3934/mfc.2023040","DOIUrl":"https://doi.org/10.3934/mfc.2023040","url":null,"abstract":"In this paper, some Hermite-Hadamard integral inequalities and Hermite-Hadamard-Fejér integral inequalities involving Atangana-Baleanu fractional integral operators via $ (h_ {1}, h_ {2})- $convex functions and $ (h_ {1}, h_ {2})- $concave functions are established. Then, according to an integral equation with Atangana-Baleanu fractional integral operators, some Hermite-Hadamard integral inequalities for second order differentiable convex maps are given.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135699860","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
Approximation by modified Bernstein polynomials based on real parameters 基于实参数的修正Bernstein多项式近似
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023005
Ruchi Singh Rajawat, Karunesh Singh, V. Mishra
{"title":"Approximation by modified Bernstein polynomials based on real parameters","authors":"Ruchi Singh Rajawat, Karunesh Singh, V. Mishra","doi":"10.3934/mfc.2023005","DOIUrl":"https://doi.org/10.3934/mfc.2023005","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220168","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: 3
Deferred statistical boundedness on time scales 时间尺度上的延迟统计有界性
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023006
Pallav Bhattarai, H. Dutta
{"title":"Deferred statistical boundedness on time scales","authors":"Pallav Bhattarai, H. Dutta","doi":"10.3934/mfc.2023006","DOIUrl":"https://doi.org/10.3934/mfc.2023006","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220237","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
Single-machine scheduling with coupled task and rejection 具有耦合任务和拒绝的单机调度
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023008
Fanyu Kong, Cuixia Miao, Yujia Huo, Jiaxin Song
{"title":"Single-machine scheduling with coupled task and rejection","authors":"Fanyu Kong, Cuixia Miao, Yujia Huo, Jiaxin Song","doi":"10.3934/mfc.2023008","DOIUrl":"https://doi.org/10.3934/mfc.2023008","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220443","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
Numerical method for the solution of nonlinear boundary value Problems (ODE) 非线性边值问题(ODE)的数值解法
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023022
S. Dutta, B. Mishra
{"title":"Numerical method for the solution of nonlinear boundary value Problems (ODE)","authors":"S. Dutta, B. Mishra","doi":"10.3934/mfc.2023022","DOIUrl":"https://doi.org/10.3934/mfc.2023022","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220822","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
Role of federated learning in healthcare systems: A survey 联合学习在医疗保健系统中的作用:一项调查
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023023
Neeta Rana, Hitesh Marwaha
{"title":"Role of federated learning in healthcare systems: A survey","authors":"Neeta Rana, Hitesh Marwaha","doi":"10.3934/mfc.2023023","DOIUrl":"https://doi.org/10.3934/mfc.2023023","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220884","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
Unified fast algorithms for building concept lattices 构建概念格的统一快速算法
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023037
Xifeng Wang, Jianqin Zhou, Sichun Yang
{"title":"Unified fast algorithms for building concept lattices","authors":"Xifeng Wang, Jianqin Zhou, Sichun Yang","doi":"10.3934/mfc.2023037","DOIUrl":"https://doi.org/10.3934/mfc.2023037","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221160","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
Generalized Kantorovich modifications of positive linear operators 正线性算子的广义Kantorovich修正
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2021042
A. Acu, Ioan Cristian Buşcu, I. Raşa
Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated. We are interested in the eigenstructure, Voronovskaya formula, the induced generalized convexity, invariant measures and iterates. Some known results from the literature are extended.
从一个正线性算子开始，我们应用了Kantorovich修正和一个相关的修正。对得到的算子进行了研究。我们对特征结构、Voronovskaya公式、归纳广义凸性、不变测度和迭代感兴趣。推广了文献中一些已知的结果。
{"title":"Generalized Kantorovich modifications of positive linear operators","authors":"A. Acu, Ioan Cristian Buşcu, I. Raşa","doi":"10.3934/mfc.2021042","DOIUrl":"https://doi.org/10.3934/mfc.2021042","url":null,"abstract":"Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated. We are interested in the eigenstructure, Voronovskaya formula, the induced generalized convexity, invariant measures and iterates. Some known results from the literature are extended.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1044 1","pages":"54-62"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77639254","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: 7
Machine scheduling with job rejection and DeJong's learning effect 具有作业拒绝的机器调度与DeJong学习效应
Q3 COMPUTER SCIENCE, THEORY & METHODS
Mathematical foundations of computing
Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022024
Jie Gao, Juan Zou, Xiaoxuan Cheng

This paper mainly discusses machine scheduling problems with job rejection and DeJong's learning effect. The goal is to determine the job sequence of the accepted jobs so as to minimize the scheduling cost of the accepted jobs plus the total rejection penalty of the rejected jobs. The scheduling costs of the accepted jobs are the makespan and the total completion time. For the single-machine setting, we show that both of the objectives can be optimally solved in polynomial time. For the parallel-machine setting, we show that minimizing the total completion time of the accepted jobs plus the total rejection penalty of the rejected jobs is still polynomially solvable, whereas the other problem is begin{document}$ NP $end{document}-hard, for which we provide a fully polynomial-time approximation scheme (FPTAS).

This paper mainly discusses machine scheduling problems with job rejection and DeJong's learning effect. The goal is to determine the job sequence of the accepted jobs so as to minimize the scheduling cost of the accepted jobs plus the total rejection penalty of the rejected jobs. The scheduling costs of the accepted jobs are the makespan and the total completion time. For the single-machine setting, we show that both of the objectives can be optimally solved in polynomial time. For the parallel-machine setting, we show that minimizing the total completion time of the accepted jobs plus the total rejection penalty of the rejected jobs is still polynomially solvable, whereas the other problem is begin{document}$ NP $end{document}-hard, for which we provide a fully polynomial-time approximation scheme (FPTAS).
{"title":"Machine scheduling with job rejection and DeJong's learning effect","authors":"Jie Gao, Juan Zou, Xiaoxuan Cheng","doi":"10.3934/mfc.2022024","DOIUrl":"https://doi.org/10.3934/mfc.2022024","url":null,"abstract":"<p style='text-indent:20px;'>This paper mainly discusses machine scheduling problems with job rejection and DeJong's learning effect. The goal is to determine the job sequence of the accepted jobs so as to minimize the scheduling cost of the accepted jobs plus the total rejection penalty of the rejected jobs. The scheduling costs of the accepted jobs are the makespan and the total completion time. For the single-machine setting, we show that both of the objectives can be optimally solved in polynomial time. For the parallel-machine setting, we show that minimizing the total completion time of the accepted jobs plus the total rejection penalty of the rejected jobs is still polynomially solvable, whereas the other problem is <inline-formula><tex-math id=\"M1\">begin{document}$ NP $end{document}</tex-math></inline-formula>-hard, for which we provide a fully polynomial-time approximation scheme (FPTAS).</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"124 1","pages":"253-267"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77973230","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
下一页 尾页
类型
全部 化学•材料 生命科学 医学 物理 工程技术 环境•农林 材料科学 地球科学 法学 管理学 化学 环境科学与生态学 计算机科学 教育学 经济学 农林科学 人文科学 生物学 数学 物理与天体物理 心理学 综合性期刊 其他 工业工程 理学 历史学 农学 文学 信息工程
数据库
全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley
期刊
Mathematical foundations of computing
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
﹀
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们：info@booksci.cn
Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1