Fuzzy Sets and Systems最新文献

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A fresh look at the category of ⊤-convergence groups 对收敛群范畴的新认识
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-09 DOI: 10.1016/j.fss.2025.109413
Lingqiang Li, Qiu Jin
{"title":"A fresh look at the category of ⊤-convergence groups","authors":"Lingqiang Li,&nbsp;Qiu Jin","doi":"10.1016/j.fss.2025.109413","DOIUrl":"10.1016/j.fss.2025.109413","url":null,"abstract":"<div><div>⊤-convergence groups is a natural extension of lattice-valued topological groups, which is a newly introduced mathematical structure. In this paper, we will further explore the theory of ⊤-convergence groups. The main results include: (1) It possesses a novel characterization through the ⊙-product of ⊤-filters, and it is localizable, meaning that each ⊤-convergence group is uniquely determined by the convergence at the identity element of the underlying group. (2) The definition of its subcategory, the topological ⊤-convergence groups, can be simplified by removing the topological condition (TT). (3) It exhibits uniformization, which means that each ⊤-convergence group can be reconstructed from a ⊤-uniformly convergent space. (4) There exists a natural group structure and ⊤-convergence structure on the function space, which makes it a ⊤-convergence group.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109413"},"PeriodicalIF":3.2,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816337","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
Hoops and domains 箍和域
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-08 DOI: 10.1016/j.fss.2025.109404
Anatolij Dvurečenskij , Omid Zahiri
{"title":"Hoops and domains","authors":"Anatolij Dvurečenskij ,&nbsp;Omid Zahiri","doi":"10.1016/j.fss.2025.109404","DOIUrl":"10.1016/j.fss.2025.109404","url":null,"abstract":"<div><div>The relationship between MV-algebras and Bézout domains was first explored in <span><span>[31]</span></span>, <span><span>[29]</span></span>, <span><span>[30]</span></span>. In this paper, we build upon those studies to extend the results to Wajsberg hoops. We begin by examining Wajsberg hoops as (weak) filters of MV-algebras. We establish a representation for every Wajsberg hoop as a subdirect product of a cancellative hoop and a boundedly representable Wajsberg hoop. These results demonstrate that every Wajsberg hoop can be associated with a specific subset of a Bézout domain <strong>R</strong>, i.e., a saturated multiplicative system of <strong>R</strong> with a special property. Furthermore, we characterize Bézout domains corresponding to cancellative hoops and linear Wajsberg hoops.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109404"},"PeriodicalIF":3.2,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808587","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 bipartite consensus control for stochastic nonlinear multi-agent systems with performance constraints 具有性能约束的随机非线性多智能体系统的自适应模糊定时二部一致性控制
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-08 DOI: 10.1016/j.fss.2025.109401
Lei Yan , Zhi Liu , C.L. Philip Chen , Yun Zhang , Zongze Wu
{"title":"Adaptive fuzzy fixed-time bipartite consensus control for stochastic nonlinear multi-agent systems with performance constraints","authors":"Lei Yan ,&nbsp;Zhi Liu ,&nbsp;C.L. Philip Chen ,&nbsp;Yun Zhang ,&nbsp;Zongze Wu","doi":"10.1016/j.fss.2025.109401","DOIUrl":"10.1016/j.fss.2025.109401","url":null,"abstract":"<div><div>This paper delves into the fixed-time bipartite consensus control problem of stochastic nonlinear multi-agent systems (MASs) under performance constraints. A constraint scaling function is put forward to model the performance constraints characterized by user-predefined steady-state accuracy and settling time, independent of the initial condition. Technically, the local synchronization error of each follower is mapped to a new error variable employing the constraint scaling function and an error transformation function prior to being utilized for controller design. To attain fixed-time convergence of the local tracking error, a barrier function transforms the scaled synchronization error to a new variable to ensure the prescribed performance. Subsequently, an adaptive fuzzy fixed-time bipartite consensus controller is developed. The fuzzy logic system handles the uncertainties in the designing procedures, and only one adaptive parameter needs to be estimated online. It is shown that the closed-loop system has practical fixed-time stability in probability, and the consensus error of the antagonistic network evolves within the user-predefined performance constraints. The simulation results evaluate the effectiveness of the developed control scheme.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109401"},"PeriodicalIF":3.2,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808590","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
Notes on “Minimization of hesitant L-fuzzy automaton” 关于“犹豫l -模糊自动机的最小化”的注释
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-08 DOI: 10.1016/j.fss.2025.109403
Jingpu Chang , Bao Qing Hu , Heng Liu
{"title":"Notes on “Minimization of hesitant L-fuzzy automaton”","authors":"Jingpu Chang ,&nbsp;Bao Qing Hu ,&nbsp;Heng Liu","doi":"10.1016/j.fss.2025.109403","DOIUrl":"10.1016/j.fss.2025.109403","url":null,"abstract":"<div><div>Shamsizadeh et al. presented the concept of the hesitant <em>L</em>-fuzzy automaton and studied it, and then gave the minimization of hesitant <em>L</em>-fuzzy automaton. Unfortunately, there are some defects in some concepts and results. For example, the truth values of hesitant <em>L</em>-fuzzy automaton do not remove the empty set and the hesitant <em>L</em>-fuzzy sets values should are restricted to the sublattices in the logic operations on hesitant fuzzy sets, and the proofs on complete accessible of minimal hesitant <em>L</em>-fuzzy automaton are wrong etc. Therefore, we have revised these concepts and conclusions to make up for the deficiencies.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109403"},"PeriodicalIF":3.2,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808589","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
Is MIAL (= SLℓ) the weakest substructural core fuzzy logic? MIAL (= SL)是最弱的子结构核心模糊逻辑吗?
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-08 DOI: 10.1016/j.fss.2025.109402
Eunsuk Yang
{"title":"Is MIAL (= SLℓ) the weakest substructural core fuzzy logic?","authors":"Eunsuk Yang","doi":"10.1016/j.fss.2025.109402","DOIUrl":"10.1016/j.fss.2025.109402","url":null,"abstract":"<div><div>Here we verify the following two: The first is that the system <strong>MIAL</strong> (= <span><math><mi>S</mi><msup><mrow><mi>L</mi></mrow><mrow><mi>ℓ</mi></mrow></msup></math></span>) can be regarded as the weakest substructural core fuzzy and relevance logic as far as one accepts order property. The second is that <strong>MIAL</strong> can be weakened by deleting identity. For the first, we first verify that some attempts to provide weak forms of the structural axiom ‘identity’ fail and then provide a diagnose why such attempts fail. We next verify that <strong>MIAL</strong> and some of its extensions satisfy new strong and weak relevance principles introduced in the paper “<strong>R</strong> and relevance principle revisited.” For the second, we introduce <span><math><mover><mrow><mn>1</mn></mrow><mo>‾</mo></mover></math></span><strong>MAL</strong> as a system weaker than <strong>MIAL</strong> and verify that <span><math><mover><mrow><mn>1</mn></mrow><mo>‾</mo></mover></math></span><strong>MAL</strong> is a substructural core fuzzy and relevance logic. This implies that <strong>MIAL</strong> is not the weakest substructural core fuzzy logic if we do not suppose order property.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109402"},"PeriodicalIF":3.2,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808588","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
Constructing ordinal sums of right and left semi-overlap functions on complete lattices 构造完备格上左右半重叠函数的序和
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-07 DOI: 10.1016/j.fss.2025.109398
Jing Lu, Bin Zhao
{"title":"Constructing ordinal sums of right and left semi-overlap functions on complete lattices","authors":"Jing Lu,&nbsp;Bin Zhao","doi":"10.1016/j.fss.2025.109398","DOIUrl":"10.1016/j.fss.2025.109398","url":null,"abstract":"<div><div>In this paper, the ordinal sum of a family of given right (resp., left) semi-overlap functions on subintervals in a complete lattice is constructed whenever the subintervals are pairwise non-overlapped and all the endpoints of the subintervals compose a chain. More precisely, we prove that the ordinal sum of right (resp., left) semi-overlap functions on subintervals in a complete lattice (resp., frame) is a right (resp., left) semi-overlap function on the sub-lattice consisting of all elements that are comparable with the endpoints of all subintervals, under the assumption that the least element of the complete lattice (resp., frame) is a prime element. And then, we extend the above right (resp., left) semi-overlap function on the sub-lattice to the whole complete lattice (resp., frame) with additional conditions by using the interior (resp., closure) operator.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109398"},"PeriodicalIF":3.2,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799449","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
Soft-neighborhood based robust fuzzy rough sets for semi-supervised feature selection 基于软邻域的鲁棒模糊粗糙集半监督特征选择
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-01 DOI: 10.1016/j.fss.2025.109397
Shuang An , Yuhang Gong , Changzhong Wang , Ge Guo
{"title":"Soft-neighborhood based robust fuzzy rough sets for semi-supervised feature selection","authors":"Shuang An ,&nbsp;Yuhang Gong ,&nbsp;Changzhong Wang ,&nbsp;Ge Guo","doi":"10.1016/j.fss.2025.109397","DOIUrl":"10.1016/j.fss.2025.109397","url":null,"abstract":"<div><div>Fuzzy rough set (FRS) theory has been widely concerned because of its successful application in dimensionality reduction of data. To reduce the sensitivity of the theory to noise and data distribution in practical applications, the study of robust FRS model still attracts great attention. This research is devoted to the robust fuzzy rough uncertainty measure theory for multi-density data. Firstly, soft-neighborhood theory is combined with classical FRSs to design a generalized FRS model which is simply named SNFRS. The new model can effectively reduce the influence of noise and multi-density distribution on uncertainty measure of data. Secondly, with the SNFRS model, soft fuzzy rough indiscernibility theory is proposed, and it is used to design feature selection algorithms. In this research, a fully supervised feature selection and a semi-supervised feature selection algorithms are respectively proposed based on the soft fuzzy rough indiscernibility theory. Besides, the labeling method of the semi-supervised feature selection is also based on the theory. Finally, some experiments are performed to verify the proposed models and algorithms. The results show that the feature selection algorithms based on the soft fuzzy rough indiscernibility are feasible and efficient. This indirectly indicates that the FRS model based on soft-neighborhood is effective, successful and generalized in measuring uncertainty of data.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"513 ","pages":"Article 109397"},"PeriodicalIF":3.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759326","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
Freedom in constructing quasi-copulas vs. copulas 构造拟联轴与联轴的自由
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-04-01 DOI: 10.1016/j.fss.2025.109399
Matjaž Omladič , Nik Stopar
{"title":"Freedom in constructing quasi-copulas vs. copulas","authors":"Matjaž Omladič ,&nbsp;Nik Stopar","doi":"10.1016/j.fss.2025.109399","DOIUrl":"10.1016/j.fss.2025.109399","url":null,"abstract":"<div><div>The main goal of this paper is to study the extent of freedom one has in constructing quasi-copulas vs. copulas. Specifically, it exhibits three construction methods for quasi-copulas based on recent developments: a representation of multivariate quasi-copulas by means of infima and suprema of copulas, an extension of a classical result on shuffles of min to the setting of quasi-copulas, and a construction method for quasi-copulas obeying a given signed mass pattern on a patch.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109399"},"PeriodicalIF":3.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Synthetic static output feedback control for fuzzy systems under fault derivative transformation based fault accommodation 基于故障调节的故障导数变换模糊系统综合静态输出反馈控制
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-03-28 DOI: 10.1016/j.fss.2025.109396
Hong-Jun Wang , Sheng-Juan Huang
{"title":"Synthetic static output feedback control for fuzzy systems under fault derivative transformation based fault accommodation","authors":"Hong-Jun Wang ,&nbsp;Sheng-Juan Huang","doi":"10.1016/j.fss.2025.109396","DOIUrl":"10.1016/j.fss.2025.109396","url":null,"abstract":"<div><div>This work examines the problem of synthetic static output feedback control embedded fault derivative transformation based fault accommodation for Takagi-Sugeno (T-S) fuzzy systems beset by actuator faults. To implement the fault accommodation more effectively, a fault derivative transformation technique is introduced to design a synthetic observer structure with more relaxed parameters. In the process of stability analysis, a linear transformation matrix (LTM) factor based Lyapunov function is employed to eliminate the coupling terms in the derived matrix inequalities, so as to obtain the linear matrix inequality (LMI) based stability conditions. Furthermore, an improved inequality scaling method is proposed to reduce the conservatism of the LMI-based stability conditions. Two numerical examples represented by T-S fuzzy models test the designed synthetic control strategy.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"513 ","pages":"Article 109396"},"PeriodicalIF":3.2,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739656","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
Novel stability analysis and intelligent control of uncertain impulsive stochastic nonlinear systems with applications 不确定脉冲随机非线性系统的新型稳定性分析与智能控制及其应用
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2025-03-28 DOI: 10.1016/j.fss.2025.109386
Changan Shao, Huasheng Zhang
{"title":"Novel stability analysis and intelligent control of uncertain impulsive stochastic nonlinear systems with applications","authors":"Changan Shao,&nbsp;Huasheng Zhang","doi":"10.1016/j.fss.2025.109386","DOIUrl":"10.1016/j.fss.2025.109386","url":null,"abstract":"<div><div>A new operator is proposed for uncertain impulsive stochastic nonlinear systems (UISNSs) based on the T-S fuzzy model and the pole configuration principle. The definition of interval stability of the system is given using this operator. The application of interval stability theory to parameter uncertain systems is extended. Different from the general concept of stability, interval stability can not only determine the stability of the system but also reflect the convergence rate (CR) of the system. The fuzzy state feedback controllers with adjustable CR are further designed. Compared with most existing fuzzy controllers, our designed controllers can control the system more accurately, i.e., effectively constrain the CR of the system. Moreover, a new design method for an <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> fuzzy controller based on interval stability is proposed, which can constrain the CR of the system while satisfying certain performance. Finally, the feasibility and applicability of these methods are verified by Chua's circuit model, the cart inverted pendulum model, and numerical experiments.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"513 ","pages":"Article 109386"},"PeriodicalIF":3.2,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739657","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
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