Fuzzy Sets and Systems最新文献_第3页

Matrix factorization algorithm for multi-label learning with missing labels based on fuzzy rough set 基于模糊粗糙集的缺失标签多标签学习矩阵因式分解算法

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-10-01 DOI: 10.1016/j.fss.2024.109143

Jiang Deng , Degang Chen , Hui Wang , Ruifeng Shi

{"title":"Matrix factorization algorithm for multi-label learning with missing labels based on fuzzy rough set","authors":"Jiang Deng , Degang Chen , Hui Wang , Ruifeng Shi","doi":"10.1016/j.fss.2024.109143","DOIUrl":"10.1016/j.fss.2024.109143","url":null,"abstract":"<div><div>In multi-label learning, samples of practical classification task may associated with multiple labels, it is challenging to acquire all labels of the training samples, the rapid expansion of the label space and the significant increase in annotation costs have exacerbated the issue of missing labels in multi-label learning. By utilizing the low rank structure of the label matrix, missing labels can be effectively recovered with matrix factorization technique. Nevertheless, current approaches disregard the potential correlation between the feature space and the multi-dimensional label data. In this paper, key features associated to different labels are extracted and then a non-negative matrix factorization algorithm is proposed for recover missing labels. Firstly, the fuzzy rough set theory is used to analyze the consistency between label matrix and feature space, potential feature information is employed to determine the latent variable dimension in non-negative matrix decomposition and the symbolic label matrix is also converted to a numerical one by means of the lower approximation operator. Then, feature-based manifold regularization and local label correlations are used to model the multi-label completion algorithm. In order to verify the effectiveness in dealing incomplete label data, comparison experiments with varying levels of missing values are designed, the experiments show that compared with the state-of-the-art algorithm, the proposed algorithm is effective in the completion of missing labels. In addition, the sensitivity analysis experiments also show that the proposed method has good stability.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142442457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

New types of domination to characterize the preservation of T-subgroups under aggregation 表征 T 子群在聚合情况下保持不变的新型支配力

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-30 DOI: 10.1016/j.fss.2024.109139

Francisco Javier Talavera , Sergio Ardanza-Trevijano , Jean Bragard , Jorge Elorza

引用次数: 0

A locally distributed rough set model for feature selection and prototype learning 用于特征选择和原型学习的局部分布式粗糙集模型

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-30 DOI: 10.1016/j.fss.2024.109137

Shuang An , Yanhua Song , Changzhong Wang , Ge Guo

{"title":"A locally distributed rough set model for feature selection and prototype learning","authors":"Shuang An , Yanhua Song , Changzhong Wang , Ge Guo","doi":"10.1016/j.fss.2024.109137","DOIUrl":"10.1016/j.fss.2024.109137","url":null,"abstract":"<div><div>Neighborhood rough set (NRS) theory is a tool for handling data uncertainty based on neighborhood theory and has been successfully applied to feature selection and classification modeling. In practical applications, the data distribution often exhibits significant density variations, posing a challenge to the classical NRS model. To address this issue, this study proposes a locally distributed rough set (DRS) model that can adaptively select the neighborhood radius for each sample and designs data reduction algorithms accordingly. In this work, the concept of distributed neighborhood is introduced, followed by an exploration of a locally distributed rough set model based on distributed neighborhood. This model can dynamically determine the appropriate neighborhood radius for each sample based on local distribution information. Additionally, certain properties of the DRS model are summarized and proven. Subsequently, feature selection and sample reduction algorithms are developed based on the DRS model. Experimental results demonstrate the effectiveness and efficiency of these proposed algorithms, indicating that the designed DRS model is both feasible and generalizable.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Adaptive fuzzy fixed-time control for uncertain switched nonlinear systems with non-symmetrical dead-zone 具有非对称死区的不确定开关非线性系统的自适应模糊固定时间控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-27 DOI: 10.1016/j.fss.2024.109119

Shuo Liu , Huaguang Zhang , Hongbo Pang

引用次数: 0

Fixed-time self-triggered fuzzy adaptive control of N-link robotic manipulators N 连杆机器人机械手的固定时间自触发模糊自适应控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-27 DOI: 10.1016/j.fss.2024.109134

Huadi Shan , Yulian Jiang , Yanzheng Zhu , Hongjing Liang , Shenquan Wang

引用次数: 0

Inversion-based fuzzy adaptive control with prespecifiable tracking accuracy for uncertain hysteretic systems 基于反演的模糊自适应控制，为不确定滞后系统提供可预设的跟踪精度

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-27 DOI: 10.1016/j.fss.2024.109141

Zihao Wu , Weijun Huang , Kai Huang , Zhi Liu , Guanyu Lai , Hanzhen Xiao , C.L. Philip Chen

{"title":"Inversion-based fuzzy adaptive control with prespecifiable tracking accuracy for uncertain hysteretic systems","authors":"Zihao Wu , Weijun Huang , Kai Huang , Zhi Liu , Guanyu Lai , Hanzhen Xiao , C.L. Philip Chen","doi":"10.1016/j.fss.2024.109141","DOIUrl":"10.1016/j.fss.2024.109141","url":null,"abstract":"<div><div>Inversion-based control strategies have the outstanding effectiveness in the compensation for hysteresis nonlinearities. However, when the plant is driven by smart material-based actuator with the information absence of hysteresis output, there still exist technical gaps in the construction of hysteresis inverse controller. Therefore, this study aims to address this gap by proposing a novel control scheme. Technically, a novel hysteresis inverse algorithm, significantly reducing computational burden, has been proposed based on a novel adaptive estimation method for the unknown parameter (density function) in the Preisach-typed hysteresis nonlinearity. Furthermore, the inverse compensation error, the nonlinearities and uncertainties appeared in the controlled plant are accommodated by the innovative adaptive fuzzy feedback controller. With our scheme, it can ensure that the closed-loop stability, predefined steady-stated tracking performance and the convergence of algorithms including inverse algorithm and adaptive updating laws. In addition to theoretical analysis, we have validated the effectiveness of the proposed control scheme through simulation comparisons and experimental results conducted by the real-life piezoelectric actuator.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Dual-channel event-triggered prescribed performance adaptive fuzzy time-varying formation tracking control for nonlinear multi-agent systems 非线性多代理系统的双通道事件触发规定性能自适应模糊时变编队跟踪控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-27 DOI: 10.1016/j.fss.2024.109140

Xiangjun Wu , Shuo Ding , Huanqing Wang , Ning Xu , Xudong Zhao , Wencheng Wang

{"title":"Dual-channel event-triggered prescribed performance adaptive fuzzy time-varying formation tracking control for nonlinear multi-agent systems","authors":"Xiangjun Wu , Shuo Ding , Huanqing Wang , Ning Xu , Xudong Zhao , Wencheng Wang","doi":"10.1016/j.fss.2024.109140","DOIUrl":"10.1016/j.fss.2024.109140","url":null,"abstract":"<div><div>This paper is concerned with the problem of dual-channel event-triggered prescribed performance adaptive fuzzy time-varying formation tracking control for multi-agent systems subject to actuator saturation, in which state variables are unmeasurable and nonlinear functions are totally unknown. A fuzzy state observer is constructed to estimate unmeasurable states. Meanwhile, fuzzy logic systems are used to approximate unknown nonlinear functions. To effectively save the usage of communication resources, this paper designs both sensor output signal and control signal triggering mechanisms, respectively. Unfortunately, the output triggering can lead to a problem that virtual control laws are non-differentiable. To solve this problem, we first utilize observer output signals to construct virtual control laws to ensure the first-order differentiation of virtual control laws. Then, a dynamic filtering technology is introduced to avoid the repeated differentiation of virtual control laws. Furthermore, an improved first-order auxiliary system is designed to compensate for the impact of actuator saturation. It is shown that the designed controller can guarantee tracking errors steer to a preset accuracy within a prescribed settling time, and all signals in the closed-loop system are semi-globally uniformly ultimately bounded. Finally, simulation results verify the effectiveness of the developed control scheme.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142358019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

On the handling of inconsistent systems based on max-product and max-Lukasiewicz compositions 论基于最大积和最大卢卡谢维奇组合的不一致系统处理方法

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-27 DOI: 10.1016/j.fss.2024.109142

Ismaïl Baaj

引用次数: 0

Quasi-D-overlap functions: Construction and characterization 准 D 叠加函数：构造与特征

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-24 DOI: 10.1016/j.fss.2024.109138

Junsheng Qiao

引用次数: 0

Isomorphic triangular subnorms with continuous additive generators 具有连续相加生成器的同构三角子矩阵

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-23 DOI: 10.1016/j.fss.2024.109136

Jie Sun, Xiaoguang Liu

引用次数: 0