AIMS Mathematics最新文献_第10页

Exponential sums involving the divisor function over arithmetic progressions 包含除数函数的等差数列的指数和

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023561

Rui Zhang, Y. Li, Xiao-Hui Yan

引用次数: 0

Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system 具有主动前转向系统的自主地面电动汽车轨迹跟踪的非线性鲁棒控制

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023565

Xianjian Jin, Qikang Wang, Zeyuan Yan, Hang Yang

{"title":"Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system","authors":"Xianjian Jin, Qikang Wang, Zeyuan Yan, Hang Yang","doi":"10.3934/math.2023565","DOIUrl":"https://doi.org/10.3934/math.2023565","url":null,"abstract":"This paper presents a nonlinear robust H-infinity control strategy for improving trajectory following performance of autonomous ground electric vehicles (AGEV) with active front steering system. Since vehicle trajectory dynamics inherently influenced by various driving maneuvers and road conditions, the main objective is to deal with the trajectory following control challenges of parametric uncertainties, system nonlinearities, and external disturbance. The AGEV system dynamics and its uncertain vehicle trajectory following system are first modeled and constructed, in which parameter uncertainties related to the physical limits of tire are considered and handled, then the control-oriented vehicle trajectory following augmented system with dynamic error is developed. The resulting nonlinear robust H-infinity state-feedback controller (NHC) of vehicle trajectory-following system is finally designed by H-infinity performance index and nonlinear compensation under AGEV system requirements, and solved utilizing a set of linear matrix inequalities derived from quadratic H-infinity performance and Lyapunov stability. Simulations for double lane change and serpentine scenes are carried out to verify the effectiveness of the proposed controller with a high-fidelity, CarSim®, full-vehicle model. It is found from the results that the proposed NHC provides improved vehicle trajectory following performance compared with the linear quadratic regulator (LQR) controller and robust H-infinity state-feedback controller (RHC).","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70191207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 11

On inextensible ruled surfaces generated via a curve derived from a curve with constant torsion 在由恒扭曲线衍生的曲线所生成的不可扩展直纹曲面上

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023573

N. Yüksel, Burçin Saltık

引用次数: 1

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023597

Rajagopal Reddy N, S. Basha. S

{"title":"A cosine similarity measures between hesitancy fuzzy graphs and its application to decision making","authors":"Rajagopal Reddy N, S. Basha. S","doi":"10.3934/math.2023597","DOIUrl":"https://doi.org/10.3934/math.2023597","url":null,"abstract":"A new cosine similarity measure between hesitancy fuzzy graphs, which have been shown to have greater discriminating capacity than certain current ones in group decision making problems by example verification. This study proposes a novel method for estimating expert-certified repute scores by determining the ambiguous information of hesitancy fuzzy preference relations as well as the regular cosine similarity grades from one separable hesitancy fuzzy preference relation to some others. The new approach considers both \"objective\" and \"subjective\" information given by experts. We construct working procedures for assessing the eligible reputational scores of the experts by applying hesitancy fuzzy preference relations. In an evaluation in which multiple conflicting factors are taken into consideration, this can be applied to increase or reduce the relevancy of specified criteria. Applying the two effective methods, the newly developed cosine similarity measure, the energy of hesitancy fuzzy graph, and we provide a solution to a decisional issue. Finally, the two working procedures and examples are given to verify the practicality and dominance of the proposed techniques.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70193346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators 基于GMSM算子的概率语言多属性决策方法

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023594

Ya Qin, S. R. M. Hashim, J. Sulaiman

{"title":"Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators","authors":"Ya Qin, S. R. M. Hashim, J. Sulaiman","doi":"10.3934/math.2023594","DOIUrl":"https://doi.org/10.3934/math.2023594","url":null,"abstract":"Probabilistic linguistic terms set (PLTS), a new tool for expressing uncertain decision information, is composed of all possible linguistic terms (LTs) and their related probabilities. It also increases the corresponding probability of LTs in hesitant fuzzy linguistic term set (HFLTS). On the other hand, aggregation operator is an important information fusion tool, the Maclaurin symmetric mean (MSM) operator operator can provide more flexibility and robustness in information fusion, and make it more suitable for solving MADM problems with independent attributes. This current study adopts the merits of PLTS and MSM operator, and a novel probabilistic linguistic decision making approach are targeted. Firstly, the operations of two PLTSs are redefined based upon Archimedean t-norm (ATN) and Archimedean t-conorm (ATC); Secondly, the probabilistic linguistic generalized MSM operator (PLGMSM) is proposed based on ATN and ATC, some properties of PLGMSM are investigated, then some special PLGMSM operators have been studied in detail when the parameters take different values and the generator of ATN takes different functions. Thirdly, the weighted probabilistic linguistic generalized MSM operator (WPLGMSM) is studied along with some properties of PLGMSM, some special WPLGMSM operators have been also investigated in detail when the parameters take different values and the generator of ATN takes different functions. Finally, on the basis of proposed aggregation operators, the aggregated-based decision making approach is designed and an example is supplied to manifest the effectiveness of proposed approach, also, some comparison analyses with extant decision approaches are carried out to illustrate the validity and feasibility of the proposed approach.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70193556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Parameter estimation for discretely observed Cox–Ingersoll–Ross model driven by fractional Lévy processes 分数阶lsamvy过程驱动的离散观测Cox-Ingersoll-Ross模型参数估计

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023613

Jiangrui Ding, Chao Wei

引用次数: 0

An intuitionistic fuzzy entropy-based gained and lost dominance score decision-making method to select and assess sustainable supplier selection 基于直觉模糊熵的得失优势评分决策方法对可持续供应商选择进行了选择和评价

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023606

Ibrahim M. Hezam, Pratibha Rani, A. Mishra, Ahmad M. Alshamrani

{"title":"An intuitionistic fuzzy entropy-based gained and lost dominance score decision-making method to select and assess sustainable supplier selection","authors":"Ibrahim M. Hezam, Pratibha Rani, A. Mishra, Ahmad M. Alshamrani","doi":"10.3934/math.2023606","DOIUrl":"https://doi.org/10.3934/math.2023606","url":null,"abstract":"Sustainable supplier selection (SSS) is recognized as a prime aim in supply chain because of its impression on profitability, adorability, and agility of the organization. This work introduces a multi-phase intuitionistic fuzzy preference-based model with which decision experts are authorized to choose the suitable supplier using the sustainability \"triple bottom line (TBL)\" attributes. To solve this issue, an intuitionistic fuzzy gained and lost dominance score (IF-GLDS) approach is proposed using the developed IF-entropy. To make better use of experts' knowledge and fully represent the uncertain information, the evaluations of SSS are characterized in the form of intuitionistic fuzzy set (IFS). To better distinguish fuzziness of IFSs, new entropy for assessing criteria weights is proposed with the help of an improved score function. By considering the developed entropy and improved score function, a weight-determining process for considered criterion is presented. A case study concerning the iron and steel industry in India for assessing and ranking the SSS is taken to demonstrate the practicability of the developed model. The efficacy of the developed model is certified with the comparison by diverse extant models.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70193857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Stability analysis of a multiscale model including cell-cycle dynamics and populations of quiescent and proliferating cells 多尺度模型的稳定性分析，包括细胞周期动力学和静止和增殖细胞的种群

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023621

Iqra Batool, N. Bajçinca

引用次数: 0

On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film 薄膜中具有库仑定律的广义非牛顿流体解的强收敛性

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023635

Hana Taklit Lahlah, H. Benseridi, B. Cherif, M. Dilmi, S. Boulaaras, Rabab Alharbi

引用次数: 0

A solution of a fractional differential equation via novel fixed-point approaches in Banach spaces Banach空间中一类分数阶微分方程的新颖不动点法解