Fuzzy Sets and Systems最新文献_第4页

Multi-view evidential c-means clustering with view-weight and feature-weight learning 利用视图权重和特征权重学习进行多视图证据 c-means 聚类

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-20 DOI: 10.1016/j.fss.2024.109135

Zhe Liu , Haoye Qiu , Sukumar Letchmunan , Muhammet Deveci , Laith Abualigah

{"title":"Multi-view evidential c-means clustering with view-weight and feature-weight learning","authors":"Zhe Liu , Haoye Qiu , Sukumar Letchmunan , Muhammet Deveci , Laith Abualigah","doi":"10.1016/j.fss.2024.109135","DOIUrl":"10.1016/j.fss.2024.109135","url":null,"abstract":"<div><div>Multi-view clustering remains a challenging task due to the potential overlap of clusters and variability across different views, which causes uncertainty and imprecision in cluster assignment. This paper explores multi-view evidential <em>c</em>-means clustering with view-weight and feature-weight learning (MVECM-VFL), grounded in the theory of belief functions (TBF). The aim is to effectively capture the uncertainty and imprecision in cluster assignment while concurrently assessing the contributions of view and feature weights in the clustering framework. We integrate view and feature weights and credal partition into a joint learning framework and design a new objective function to find the best results. In MVECM-VFL, each object can belong to different clusters with various masses of belief, thereby characterizing the uncertainty. Furthermore, when an object resides in the overlapping area of several singleton clusters, it can be attributed to a meta-cluster (defined as the union of these singleton clusters) to represent the local imprecision in cluster assignment. Additionally, view-weight and feature-weight learning can help to obtain the credal partition better. Compared to the related methods, the effectiveness of MVECM-VFL is demonstrated based on synthetic and real-world datasets.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142314592","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

Topology on residuated lattices for biresiduum-based continuity of fuzzy sets 基于双真空的模糊集连续性的残差网格拓扑学

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-19 DOI: 10.1016/j.fss.2024.109133

Michal Krupka

{"title":"Topology on residuated lattices for biresiduum-based continuity of fuzzy sets","authors":"Michal Krupka","doi":"10.1016/j.fss.2024.109133","DOIUrl":"10.1016/j.fss.2024.109133","url":null,"abstract":"<div><div>By continuity of <span><math><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></math></span>-valued fuzzy set it is usually understood standard continuity of a real-valued function. This could be in conflict with the similarity fuzzy relation on <span><math><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></math></span> given by the operation of biresiduum induced by a left-continuous t-norm. In this work, a new kind of continuity, called t-continuity, of an <em>L</em>-set in a topological space for <em>L</em> being a complete residuated lattice of finite dimension is defined. It is based on a notion of oscillation of <em>L</em>-set, which is an element of <em>L</em> computed by means of biresiduum in <em>L</em>. A topology on <em>L</em> of this continuity, called the t-topology on <em>L</em>, is found. This topology is constructed by means of biresiduum and a variant of Scott-open sets called residuated Scott-open sets. It is shown that the t-topology of <em>L</em> is Hausdorff and that <em>L</em> together with its t-topology is a topological residuated lattice. T-topologies of four standard t-norms are found. The notion of t-topology is generalized to sets with <em>L</em>-equivalence relation and a new characteristic of extensional sets implying that extensional <em>L</em>-sets are t-continuous is given.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142311541","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

Disturbance observer-based nonsingular fixed-time fuzzy adaptive event-triggered output feedback control of uncertain nonlinear systems 不确定非线性系统的基于扰动观测器的非奇异固定时间模糊自适应事件触发输出反馈控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-19 DOI: 10.1016/j.fss.2024.109132

Ming-Rui Liu , Li-Bing Wu , Huan-Qing Wang , Liang-Dong Guo , Sheng-Juan Huang

{"title":"Disturbance observer-based nonsingular fixed-time fuzzy adaptive event-triggered output feedback control of uncertain nonlinear systems","authors":"Ming-Rui Liu , Li-Bing Wu , Huan-Qing Wang , Liang-Dong Guo , Sheng-Juan Huang","doi":"10.1016/j.fss.2024.109132","DOIUrl":"10.1016/j.fss.2024.109132","url":null,"abstract":"<div><div>This article examines the fuzzy adaptive event-triggered output feedback control issue of eliminating fixed-time singularity for a type of uncertain nonlinear systems with disturbance observer structures. By introducing novel bounded time-varying functions (TVFs), a set of more general intermediate-variable-based disturbance observers (IVBDOs) is constructed. Combining the corresponding auxiliary reduced-power function and the quartic Lyapunov method, a co-design scheme for a fuzzy approximation high-order controller and an improved event-triggered mechanism with a judgment indicator threshold is proposed. Especially, the developed framework not only removes the singularity during the fixed-time design process but also further reduces the communication resources. By means of theoretical analysis, the devised solution achieves fixed-time stable control (FTSC) of the system and the tracking error converges to the desired neighborhood around the origin. After verifying the absence of Zeno behavior, the efficacy of the presented methodology is supported by two simulation examples.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142320250","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

Scott algebraic closure space and its applications 斯科特代数闭合空间及其应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-16 DOI: 10.1016/j.fss.2024.109127

Yueli Yue

引用次数: 0

Intermittent dynamic event-triggered control for synchronization of Takagi–Sugeno fuzzy competitive neural networks with leakage delay and different time scales 用于具有泄漏延迟和不同时间尺度的高木-菅野模糊竞争神经网络同步的间歇动态事件触发控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-13 DOI: 10.1016/j.fss.2024.109130

Hao Qiu , Huamin Wang , Fan Li , Shiping Wen

{"title":"Intermittent dynamic event-triggered control for synchronization of Takagi–Sugeno fuzzy competitive neural networks with leakage delay and different time scales","authors":"Hao Qiu , Huamin Wang , Fan Li , Shiping Wen","doi":"10.1016/j.fss.2024.109130","DOIUrl":"10.1016/j.fss.2024.109130","url":null,"abstract":"<div><p>Because competitive neural networks (CNNs) can simulate the phenomena of lateral inhibition among neurons, their dynamics are attracting increasing attention, which motives us to investigate the global exponential synchronization issue of multiple time-delays fuzzy CNNs (MDFCNNs) with different time scales in this article. Firstly, to solve the significant resource wastage problem caused by the time-triggered mechanism previously adopted in CNNs, a novel intermittent dynamic event-triggered mechanism is proposed. It is worth mentioning that the fuzzy logic systems are also utilized in this model and controller, effectively handling the uncertainties and nonlinearities in practical problems. Secondly, by designing the intermittent static/dynamic event-triggered mechanism, we derive the global exponential synchronization conditions for MDFCNNs with different time scales under a simpler and more implementable controller composed of a linear negative feedback control term. We also utilize the reduction to absurdity to demonstrate the nonexistence of Zeno behavior for the error system of master-slave CNNs. Furthermore, we provide several corollaries to further indicate the generality of the model and the cost savings of the control mechanism. Finally, we provide an example and some comparisons to demonstrate the efficiency of the derived theoretical findings.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142242388","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

Antitone involutions on tensor products of complete lattices and complete distributivity 完全网格张量积上的反音卷积和完全分布性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-13 DOI: 10.1016/j.fss.2024.109131

Tomasz Kubiak , Iraide Mardones-Pérez

{"title":"Antitone involutions on tensor products of complete lattices and complete distributivity","authors":"Tomasz Kubiak , Iraide Mardones-Pérez","doi":"10.1016/j.fss.2024.109131","DOIUrl":"10.1016/j.fss.2024.109131","url":null,"abstract":"<div><p>The purpose of this paper is to study antitone involutions on tensor products of complete lattices. A lattice with antitone involution is called an involution lattice. We show that if <em>M</em> is a completely distributive involution lattice, then for each complete involution lattice <em>L</em> there exists a <em>unique</em> antitone involution on the tensor product <span><math><mi>M</mi><mo>⊗</mo><mi>L</mi></math></span> such that the natural embeddings of <em>M</em> and <em>L</em> into <span><math><mi>M</mi><mo>⊗</mo><mi>L</mi></math></span> are involution-preserving. This is best possible, since the described property characterizes complete distributivity in the class of complete involution lattices. When <em>M</em> and <em>L</em> are completely distributive involution lattices, <span><math><mi>M</mi><mo>⊗</mo><mi>L</mi></math></span> with the aforementioned antitone involution is the codomain of a universal bimorphism in the sense of the category of all completely distributive de Morgan algebras and their join- and involution-preserving maps. The case that <em>M</em> and <em>L</em> are orthocomplemented is explored too.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S016501142400277X/pdfft?md5=b339827f1904818ee8c165a4985654c2&pid=1-s2.0-S016501142400277X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142242390","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

On Ralescu's cardinality of fuzzy sets 论拉列斯库模糊集的心性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-09-02 DOI: 10.1016/j.fss.2024.109118

Eduard Bartl, Radim Belohlavek

引用次数: 0

f-KGQA: A fuzzy question answering system for knowledge graphs f-KGQA：知识图谱模糊问题解答系统

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-08-30 DOI: 10.1016/j.fss.2024.109117

Ruizhe Ma , Yunxing Liu , Zongmin Ma

引用次数: 0

The continuous Choquet integral representation theorems in an abstract setting 抽象环境中的连续乔凯积分表示定理