Fuzzy Sets and Systems最新文献_第9页

Abstractly homogeneous aggregation functions with respect to a given continuous t-norm 抽象地，关于给定连续t模的齐次聚集函数

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-20 DOI: 10.1016/j.fss.2025.109283

Tingting Wang , Wenwen Zong , Yong Su , Radko Mesiar

引用次数: 0

Algebraic properties of approximate bisimulation relations for fuzzy automata 模糊自动机近似双仿真关系的代数性质

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-16 DOI: 10.1016/j.fss.2025.109278

Ping Li , Jufang Yang , Yongming Li , Chao Yang , Wenyu Xue

{"title":"Algebraic properties of approximate bisimulation relations for fuzzy automata","authors":"Ping Li , Jufang Yang , Yongming Li , Chao Yang , Wenyu Xue","doi":"10.1016/j.fss.2025.109278","DOIUrl":"10.1016/j.fss.2025.109278","url":null,"abstract":"<div><div>The paper introduces <em>ε</em>-bisimulation relation, surjective <span><math><mi>L</mi></math></span>-functional <em>ε</em>-bisimulation relation, surjective functional <em>ε</em>-bisimulation relation, bijective functional <em>ε</em>-bisimulation relation and <em>ε</em>-isomorphism from fuzzy automata <span><math><mi>A</mi></math></span> to <span><math><mi>B</mi></math></span> by fuzzy matrices. Then it is proved that the behavior of a fuzzy automaton <span><math><mi>A</mi></math></span> differs from the behavior of a fuzzy automaton <span><math><mi>B</mi></math></span> by at most <em>ε</em> if there exists a <em>ε</em>-bisimulation relation between them. In particular, if there exists a surjective <span><math><mi>L</mi></math></span>-functional <em>ε</em>-bisimulation relation between them, we give a more concise proof of above conclusion by fuzzy matrices. Moreover, the notion of <em>ε</em>-bisimulation equivalence relation on a fuzzy automaton is given by fuzzy matrices. Based on two different constructions of quotient fuzzy automata, the relationships between <em>ε</em>-bisimulation relations and <em>ε</em>-bisimulation equivalence relations and the <em>ε</em>-Isomorphism theorems of quotient fuzzy automata are given.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109278"},"PeriodicalIF":3.2,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181059","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

A note on knowledge structures delineated by fuzzy skill multimaps 关于模糊技能多地图所描绘的知识结构的说明

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-16 DOI: 10.1016/j.fss.2025.109282

Xiyan Cao , Fucai Lin , Wen Sun , Jinjin Li , Peijin Lin

{"title":"A note on knowledge structures delineated by fuzzy skill multimaps","authors":"Xiyan Cao , Fucai Lin , Wen Sun , Jinjin Li , Peijin Lin","doi":"10.1016/j.fss.2025.109282","DOIUrl":"10.1016/j.fss.2025.109282","url":null,"abstract":"<div><div>Fuzzy skill multimaps can describe individuals' knowledge states from the perspective of latent cognitive abilities. A discriminative knowledge structure is reducing redundant items to vary the test with the aim of lightening the workload for students, and the bi-discriminative knowledge structure is useful for evaluating ‘relative independence’ items or knowledge points. Moreover, it is highly significant to determine the type of fuzzy skill multimap that delineates a discriminative or bi-discriminative knowledge structure. Additionally, we provide a characterization of fuzzy skill multimaps in order to delineate knowledge spaces, learning spaces and simple closure spaces respectively. Furthermore, there are some interesting applications in the meshing of the delineated knowledge structures and the distributed fuzzy skill multimaps. We also give a more precise analysis regarding the separability (resp. bi-separability) on which condition the information collected within a local assessment can reflect an assessment at the global level, and which condition any of the local domains can localize from given global assessment.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109282"},"PeriodicalIF":3.2,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181644","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

Output synchronization in fixed/preassigned-time of T-S fuzzy multilayered networks T-S模糊多层网络固定/预分配时间下的输出同步

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-16 DOI: 10.1016/j.fss.2025.109279

Yuhua Gao , Cheng Hu , Juan Yu

{"title":"Output synchronization in fixed/preassigned-time of T-S fuzzy multilayered networks","authors":"Yuhua Gao , Cheng Hu , Juan Yu","doi":"10.1016/j.fss.2025.109279","DOIUrl":"10.1016/j.fss.2025.109279","url":null,"abstract":"<div><div>Considering the function diversity of individuals in the actual system, the uncertainty and fuzziness in modeling network dynamics, a class of T-S fuzzy multilayered networks is concerned in this article, and the fixed/preassigned-time output synchronization is explored to overcome the immeasurability of node states. Firstly, to remove the connectivity restriction of network topology, the synchronous state, which can be any specified smooth orbit, is added to the original network as a virtual individual. Subsequently, a type of continuous fuzzy control law is developed to realize fixed/preassigned-time output synchronization for multilayered networks, and several synchronization criteria are gained based on fixed-time stability theory and inequality technique. Notice that the link between the estimate of settling-time and the number of network layers is revealed, and the restriction on the output matrix is largely weakened compared to some previous researches. Lastly, the proposed fuzzy control schemes and output synchronization criteria are verified by numerical simulations and are applied to signal security communication, in which the robustness and sensitivity of the developed control method are analyzed.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109279"},"PeriodicalIF":3.2,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181645","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

A categorical equivalence between Q-domains and interpolative generalized Q-closure spaces Q 域与内插广义 Q 封闭空间之间的等价性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-16 DOI: 10.1016/j.fss.2025.109280

Guojun Wu , Wei Yao , Qingguo Li

{"title":"A categorical equivalence between Q-domains and interpolative generalized Q-closure spaces","authors":"Guojun Wu , Wei Yao , Qingguo Li","doi":"10.1016/j.fss.2025.109280","DOIUrl":"10.1016/j.fss.2025.109280","url":null,"abstract":"<div><div>With a commutative unital quantale <span><math><mi>Q</mi></math></span> as the truth value table, this study focuses on representations of <span><math><mi>Q</mi></math></span>-domains by means of generalized <span><math><mi>Q</mi></math></span>-closure spaces. First, the notions of interpolative generalized <span><math><mi>Q</mi></math></span>-closure spaces and directed closed sets are introduced. It is proved that for an interpolative generalized <span><math><mi>Q</mi></math></span>-closure space (resp., a <span><math><mi>Q</mi></math></span>-closure space), the collection of directed closed sets with respect to the inclusion <span><math><mi>Q</mi></math></span>-order forms a continuous <span><math><mi>Q</mi></math></span>-dcpo (resp., an algebraic <span><math><mi>Q</mi></math></span>-dcpo). Conversely, it is shown that every continuous <span><math><mi>Q</mi></math></span>-dcpo (resp., algebraic <span><math><mi>Q</mi></math></span>-dcpo) can be reconstructed from an interpolative generalized <span><math><mi>Q</mi></math></span>-closure space (resp., a <span><math><mi>Q</mi></math></span>-closure space). Second, the notion of dense subspaces of generalized <span><math><mi>Q</mi></math></span>-closure spaces is provided. By means of dense subspaces, an alternative representation for algebraic <span><math><mi>Q</mi></math></span>-dcpos is given. Furthermore, the notion of approximable <span><math><mi>Q</mi></math></span>-relations between interpolative generalized <span><math><mi>Q</mi></math></span>-closure spaces is introduced. Consequently, a categorical equivalence is established between the category of interpolative generalized <span><math><mi>Q</mi></math></span>-closure spaces (resp., <span><math><mi>Q</mi></math></span>-closure spaces) with approximable <span><math><mi>Q</mi></math></span>-relations and that of continuous <span><math><mi>Q</mi></math></span>-dcpos (resp., algebraic <span><math><mi>Q</mi></math></span>-dcpos) with Scott continuous mappings.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109280"},"PeriodicalIF":3.2,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181056","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

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-15 DOI: 10.1016/j.fss.2025.109277

A.F. Roldán López de Hierro , A. Cruz , R.H.N. Santiago , C. Roldán , D. García-Zamora , F. Neres , H. Bustince

引用次数: 0

Algebraic structure of the Gaussian-PDMF space and applications on fuzzy equations 高斯- pdmf空间的代数结构及其在模糊方程上的应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-15 DOI: 10.1016/j.fss.2025.109281

Chuang Zheng

引用次数: 0

Improved safe semi-supervised clustering based on capped ℓ21 norm 基于上限l_21范数的改进安全半监督聚类

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-10 DOI: 10.1016/j.fss.2025.109276

Haitao Gan, Zhi Yang, Ming Shi, Zhiwei Ye, Ran Zhou

{"title":"Improved safe semi-supervised clustering based on capped ℓ21 norm","authors":"Haitao Gan, Zhi Yang, Ming Shi, Zhiwei Ye, Ran Zhou","doi":"10.1016/j.fss.2025.109276","DOIUrl":"10.1016/j.fss.2025.109276","url":null,"abstract":"<div><div>In recent years, the concept of safe semi-supervised clustering (S3C) has received increasing attention within the semi-supervised learning community. Generally, existing S3C methods first analyze the risk of labeled instances and then try to mitigate the corresponding negative impacts through various risk-based regularization approaches. However, the adverse effects of high-probability mislabeled instances (HPMIs) are not eliminated, and corresponding useful discriminative information is not discovered effectively. To address these issues, we propose an improved S3C method based on capped <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>21</mn></mrow></msub></math></span> norm, called CapS3FCM. The motivation is that the capped <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>21</mn></mrow></msub></math></span> norm can effectively filter or find mislabeled instances. Consequently, CapS3FCM introduces two capped <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>21</mn></mrow></msub></math></span> norms. The first norm aims to make use of label information while simultaneously alleviating negative influences of mislabeled instances, especially HPMIs. The second norm further aims to discover useful discriminative information of those HPMIs. Finally, a loss function based on the capped <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>21</mn></mrow></msub></math></span> norms is built, and the optimization problem is solved using an efficient iterative optimization strategy. To verify the effectiveness of CapS3FCM, a series of experiments is carried out on several datasets, which demonstrate that CapS3FCM can outperform the other semi-supervised and S3C methods. These findings validate that the capped <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>21</mn></mrow></msub></math></span> norm is both practical and effective.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109276"},"PeriodicalIF":3.2,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181061","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 completion of principal fuzzy metric spaces 关于主模糊度量空间的补全

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-09 DOI: 10.1016/j.fss.2024.109261

Changqing Li , Yanlan Zhang

引用次数: 0

Weak and strong convergence analysis of fully complex-valued high-order TSK model 全复值高阶TSK模型的弱收敛性和强收敛性分析

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-09 DOI: 10.1016/j.fss.2025.109272

Yan Liu , Fang Liu , Qiang Shao

引用次数: 0