Fuzzy Sets and Systems最新文献_第7页

Dynamic event-triggered extended dissipative scaled consensus control for nonlinear multi-agent systems

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-24 DOI: 10.1016/j.fss.2025.109286

Lihong Feng , Bonan Huang , Huaguang Zhang , Jiayue Sun

{"title":"Dynamic event-triggered extended dissipative scaled consensus control for nonlinear multi-agent systems","authors":"Lihong Feng , Bonan Huang , Huaguang Zhang , Jiayue Sun","doi":"10.1016/j.fss.2025.109286","DOIUrl":"10.1016/j.fss.2025.109286","url":null,"abstract":"<div><div>This paper focuses on the scaled consensus problem of interval type-2 Takagi-Sugeno (IT-2 T-S) fuzzy multi-agent systems with external disturbance under directed graphs on the basis of dynamic event-triggered mechanisms (DETMs). An extended dissipative performance (EDP) index is introduced in the paper to cope with system disturbances. The <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span>, <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>−</mo><msub><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span>, passivity and <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>S</mi><mo>,</mo><mi>R</mi><mo>)</mo><mo>−</mo><mi>α</mi></math></span>-dissipative performances of the system can also be satisfied by tuning the weighting matrices. In this paper, a novel sampling-based DETM with flexible parameters and dynamic internal variable is proposed for the first time. It effectively reduces unnecessary continuous monitoring and improves the utilization of network resources. Then, an output feedback-based fuzzy control protocol is designed for the situation where the state information is not completely known. Furthermore, a sufficient condition for MAS to achieve scale consensus while satisfying the EDP is obtained using Lyapunov stability theory and linear matrix inequality methods. Finally, the effectiveness and applicability of the proposed method are verified by an numerical simulation and a mass-spring-damper system.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"506 ","pages":"Article 109286"},"PeriodicalIF":3.2,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138621","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

Event-triggered sampled–data fuzzy secure control for nonlinear parabolic PDE systems subject to stochastic actuator failures and deception attacks

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-23 DOI: 10.1016/j.fss.2025.109284

Feng-Liang Zhao , Zi-Peng Wang , Fangyu Li , Junfei Qiao , Huai-Ning Wu

{"title":"Event-triggered sampled–data fuzzy secure control for nonlinear parabolic PDE systems subject to stochastic actuator failures and deception attacks","authors":"Feng-Liang Zhao , Zi-Peng Wang , Fangyu Li , Junfei Qiao , Huai-Ning Wu","doi":"10.1016/j.fss.2025.109284","DOIUrl":"10.1016/j.fss.2025.109284","url":null,"abstract":"<div><div>Under spatially point measurements (SPMs), this paper addresses event-triggered sampled-data (ETSD) fuzzy secure control for nonlinear space-varying parabolic partial differential equation (PDE) systems with stochastic actuator failures and deception attacks. Initially, a T-S fuzzy PDE model is presented to exactly describe the nonlinear space-varying parabolic PDE systems subject to stochastic actuator failures and deception attacks. Secondly, in order to reduce the unnecessary sampled-data and adapt to the variation of system dynamics subject to stochastic actuator failures and deception attacks, an ETSD fuzzy secure control scheme is proposed under SPMs. Then, by constructing an appropriate Lyapunov functional, the mean square exponential stability conditions of closed-loop nonlinear space-varying parabolic PDE systems via spatial linear matrix inequalities (SLMIs) are presented. Furthermore, to solve SLMIs, the ETSD fuzzy secure control design problem for nonlinear space-varying parabolic PDE systems under SPMs with stochastic actuator failures and deception attacks is formulated as an linear matrix inequality feasibility problem. Finally, simulation results of two examples are presented to demonstrate the effectiveness of the proposed design approach.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"506 ","pages":"Article 109284"},"PeriodicalIF":3.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138619","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

Characterizations of fuzzy implications by the laws of contraposition

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-01-21 DOI: 10.1016/j.fss.2025.109285

Cheng Zhang , Feng Qin , Michał Baczyński

{"title":"Characterizations of fuzzy implications by the laws of contraposition","authors":"Cheng Zhang , Feng Qin , Michał Baczyński","doi":"10.1016/j.fss.2025.109285","DOIUrl":"10.1016/j.fss.2025.109285","url":null,"abstract":"<div><div>The laws of contraposition, which are based on fuzzy implications and negations, play pivotal roles in fuzzy logic. This study introduces and exemplifies two novel types of fuzzy implications: <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>D</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications and <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>C</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications. These are derived from aggregation functions, disjunctors (conjunctors), and fuzzy negations. Prominent fuzzy implications like <span><math><mo>(</mo><mi>S</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>, <span><math><mo>(</mo><mi>U</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>, <span><math><mo>(</mo><mi>G</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>, <span><math><mo>(</mo><msup><mrow><mi>U</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>,</mo><mi>N</mi><mo>)</mo></math></span>, <span><math><mo>(</mo><msup><mrow><mi>U</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>,</mo><mi>N</mi><mo>)</mo></math></span>, and <span><math><mo>(</mo><mi>T</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications can be subclassified under these newly introduced types. Then, we provide an axiomatic characterization of these two novel types of fuzzy implications based on the laws of contraposition. Furthermore, this research not only broadens our understanding of the axiomatic characterization of well-known fuzzy implications, such as <span><math><mo>(</mo><mi>S</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications and <span><math><mo>(</mo><mi>U</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications but also introduces a fresh perspective for interpreting relations between these implications.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"505 ","pages":"Article 109285"},"PeriodicalIF":3.2,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181035","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

Abstractly homogeneous aggregation functions with respect to a given continuous t-norm

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

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

Output synchronization in fixed/preassigned-time of T-S fuzzy multilayered networks

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 note on knowledge structures delineated by fuzzy skill multimaps

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

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

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