Fuzzy Sets and Systems最新文献_第4页

Representations of the fuzzy implications satisfying the law of left or right contraposition 满足左或右对位律的模糊含义的表示

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-09 DOI: 10.1016/j.fss.2025.109580

Juan Dai, Yexing Dan, Xiaodong Pan, Ya-Ming Wang

{"title":"Representations of the fuzzy implications satisfying the law of left or right contraposition","authors":"Juan Dai, Yexing Dan, Xiaodong Pan, Ya-Ming Wang","doi":"10.1016/j.fss.2025.109580","DOIUrl":"10.1016/j.fss.2025.109580","url":null,"abstract":"<div><div>In this paper, we focus on exploring three types of representations of the fuzzy implications on the real unit interval that satisfy the law of left or right contraposition. This study involves the use of continuous or non-continuous fuzzy negations on the real unit interval. Under the assumption that a continuous fuzzy negation is given, we respectively exploit <span><math><mo>(</mo><mi>H</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications, <span><math><mo>(</mo><mi>C</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications and <span><math><mo>(</mo><mi>D</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications to represent the fuzzy implications satisfying the law of left or right contraposition. In particular, we investigate the conditions under which a given fuzzy implication is an <span><math><mo>(</mo><mi>H</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implication, and discuss the relationships among certain types of fuzzy implications (including <span><math><mo>(</mo><mi>H</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications, <span><math><mo>(</mo><mi>C</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications and <span><math><mo>(</mo><mi>D</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications) that are related to the law of left or right contraposition. Assuming the presence of a non-continuous fuzzy negation, we proceed to utilize <span><math><mo>(</mo><mi>H</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications, <span><math><mo>(</mo><mi>C</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications or <span><math><mo>(</mo><mi>D</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications to represent the fuzzy implications that satisfy the law of left or right contraposition. Notably, by exploiting the law of left contraposition together with appropriate conditions, we characterize <span><math><mo>(</mo><mi>S</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications associated with a non-continuous fuzzy negation.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"521 ","pages":"Article 109580"},"PeriodicalIF":2.7,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049887","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

Constructions of uninorms on bounded trellises 有界格子上的统一形的构造

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-05 DOI: 10.1016/j.fss.2025.109576

Yuting Luo , Bin Pang , Jen-Chih Yao

引用次数: 0

Close-by-One-like algorithms in the fuzzy setting: Theory and experimentation 模糊设置中的类近一算法：理论与实验

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-01 DOI: 10.1016/j.fss.2025.109574

Domingo López-Rodríguez , Manuel Ojeda-Hernández , Ángel Mora , Carlos Bejines

引用次数: 0

A robust clustering algorithm based on weighted optimization of fuzzy feature difference using shadow sets 基于阴影集模糊特征差加权优化的鲁棒聚类算法

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-01 DOI: 10.1016/j.fss.2025.109575

Xiao Su, Bin Yu, Yunlong Liu

{"title":"A robust clustering algorithm based on weighted optimization of fuzzy feature difference using shadow sets","authors":"Xiao Su, Bin Yu, Yunlong Liu","doi":"10.1016/j.fss.2025.109575","DOIUrl":"10.1016/j.fss.2025.109575","url":null,"abstract":"<div><div>Robustness is a critical metric for evaluating the performance of clustering algorithms, particularly their stability and reliability across various datasets. Despite the significant challenges posed by noise and outliers, robust clustering methods have shown resilience in uncovering inherent data structures. This study expands on foundational work from the turn of the century, advancing robust clustering through strategic innovation. We introduce a novel algorithm—robust clustering algorithm based on weighted optimization of fuzzy feature difference using shadow sets (RWFS). The algorithm implements multi-granular data partitioning based on granular computing to enhance clustering adaptability; it optimizes the handling of boundary samples using shadow set theory, thereby strengthening the identification of fuzzy regions; and it evaluates the purity within clusters through information entropy to optimize the clustering structure. The integration of these three aspects significantly enhances the algorithm's robustness and clustering accuracy in the presence of complex data and noise. Using the modified silhouette coefficient (MSC) as an internal metric, our evaluations confirm RWFS's ability to reveal underlying patterns in datasets affected by various noise types. Under 10% outlier noise, the average MSC values across all benchmark datasets are 0.2275. Under 5% inter cluster noise, the average value of MSC is 0.6037. Under 10% Global Gaussian noise, the average value of MSC is 0.4686. The maximum ACC of robust experiment is 0.8436. This approach enhances robustness and facilitates more nuanced characterization of relationships within clustering algorithms. Our findings highlight RWFS's potential as a powerful tool in machine learning, with broad implications for applications where data integrity and interpretability are crucial. The code is publicly available online at <span><span>https://github.com/yu7bin/RWFS</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"521 ","pages":"Article 109575"},"PeriodicalIF":2.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145020840","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

The observability of fuzzy fractional evolution equations in the generalized linearly correlated fuzzy spaces 广义线性相关模糊空间中模糊分数阶演化方程的可观测性

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-27 DOI: 10.1016/j.fss.2025.109573

Nguyen Thi Thu Huyen , Nguyen Thi Kim Son , Hoang Thi Phuong Thao , Nguyen Phuong Dong

{"title":"The observability of fuzzy fractional evolution equations in the generalized linearly correlated fuzzy spaces","authors":"Nguyen Thi Thu Huyen , Nguyen Thi Kim Son , Hoang Thi Phuong Thao , Nguyen Phuong Dong","doi":"10.1016/j.fss.2025.109573","DOIUrl":"10.1016/j.fss.2025.109573","url":null,"abstract":"<div><div>The work is devoted to studying the observability of fuzzy fractional evolution equations in the space of generalized linearly correlated fuzzy numbers, namely the space <span><math><mrow><mi>LC</mi></mrow><mo>(</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span>. Firstly, we develop an analysis of functions taking values in <span><math><mrow><mi>LC</mi></mrow><mo>(</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span>. Next, we present some conditions to ensure that the Cauchy problem for the proposed fuzzy fractional evolution equations admits a unique integral solution. Furthermore, by constructing an appropriate observability Gramian matrix, we obtain a sufficient condition such that the proposed fuzzy fractional evolution equations are observable. The concepts of derivative, fractional derivative and integral of the linearly correlated fuzzy functions in the space <span><math><mrow><mi>LC</mi></mrow><mo>(</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span> are introduced via the construction of the mapping <span><math><mi>ψ</mi><mo>:</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>→</mo><mrow><mi>LC</mi></mrow><mo>(</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span>. The necessary and sufficient conditions for the mapping <em>ψ</em> to be an isomorphism are also mentioned.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"520 ","pages":"Article 109573"},"PeriodicalIF":2.7,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914009","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

Fuzzy constructs 模糊结构

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-26 DOI: 10.1016/j.fss.2025.109572

Manuel S. Lazo-Cortés

引用次数: 0

Reinforcement learning-based prescribed-time optimized adaptive fuzzy control for multi-agent systems with output saturation 输出饱和多智能体系统的强化时间优化自适应模糊控制

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-26 DOI: 10.1016/j.fss.2025.109570

Peng Sun , Xiaona Song , Xin Wang , Shuai Song

{"title":"Reinforcement learning-based prescribed-time optimized adaptive fuzzy control for multi-agent systems with output saturation","authors":"Peng Sun , Xiaona Song , Xin Wang , Shuai Song","doi":"10.1016/j.fss.2025.109570","DOIUrl":"10.1016/j.fss.2025.109570","url":null,"abstract":"<div><div>This paper investigates the self-triggered prescribed-time optimized adaptive fuzzy control issue for multi-agent systems (MASs) with output saturation. The main challenge is to design an adaptive optimal control algorithm that can mitigate the issue of unknown control gains generated by output saturation. First, the non-smooth output saturated nonlinearity is captured by a smooth model that counts on the continuity of the hyperbolic tangent function, allowing the output signal to be available for the recursive control process. Additionally, the uncertain gain can be skillfully circumvented by building the Hamilton-Jacobi-Bellman (HJB) equation oriented towards the state signal rather than the error variables to tackle the conflicting issues. Then, the reinforcement learning-based (RL) prescribed-time control strategy is delicately engineered, thereby avoiding the calculation sophistication and excluding the drawback of semi-global boundedness of the error surface with the assistance of the designed prescribed-time filter and Lyapunov-like energy candidate. Notably, a peculiar self-triggered control protocol considering auxiliary functions is synthesized to conserve resource loss and stay away from the sustainable monitor criteria and the singularity dilemma. Benefiting from the prescribed-time bounded stability theory, it can be guaranteed that the closed-loop systems (CLSs) realize the prescribed-time stability, and the system outputs are restricted in their saturated thresholds. Herein, the suitability and rationality of the investigated tactic are exemplified through simulation instances.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"520 ","pages":"Article 109570"},"PeriodicalIF":2.7,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144904434","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

Local EQ-algebras and prime spectrums of EQ-algebras 局部eq -代数与eq -代数的素谱

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-25 DOI: 10.1016/j.fss.2025.109571

Wei Wang

引用次数: 0

Fuzzy finite-region dissipative realization for Roesser model of 2D jump systems with applications to heat exchanger dynamics 二维跳跃系统Roesser模型的模糊有限区域耗散实现及其在换热器动力学中的应用

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-22 DOI: 10.1016/j.fss.2025.109568

Jiabao Wei , Hai Wang , Shuping He , Chengcheng Ren , Xiaoli Luan , Fei Liu

引用次数: 0

Fixed time stabilization of stochastic neutral-type fuzzy inertial neural network with mixed delays 混合时滞随机中立型模糊惯性神经网络的定时镇定