Fuzzy Sets and Systems最新文献_第3页

Ordinal sums of quasi-overlap functions on bounded lattices 有界格上拟重叠函数的序数和

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-10 DOI: 10.1016/j.fss.2025.109581

Jun Geng , Yutong Zhang , Junsheng Qiao

引用次数: 0

An adaptive double-parameter softmin based Takagi-Sugeno-Kang fuzzy system for high-dimensional data 高维数据自适应双参数软算法Takagi-Sugeno-Kang模糊系统

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-10 DOI: 10.1016/j.fss.2025.109582

Ming Ma, Liyang Qian, Yi Zhang, Qi Fang, Guangdong Xue

{"title":"An adaptive double-parameter softmin based Takagi-Sugeno-Kang fuzzy system for high-dimensional data","authors":"Ming Ma, Liyang Qian, Yi Zhang, Qi Fang, Guangdong Xue","doi":"10.1016/j.fss.2025.109582","DOIUrl":"10.1016/j.fss.2025.109582","url":null,"abstract":"<div><div>Fuzzy or neuro-fuzzy systems have been widely applied across numerous fields. However, they still face significant challenges when addressing high-dimensional problems. This is primarily due to the use of product T-norm, minimum T-norm and its softer variants. In this context, we construct an adaptive double-parameter softmin (ADP-softmin) based Takagi-Sugeno-Kang fuzzy model, called ADPTSK, where ADP-softmin is proposed to overcome the drawbacks of “numeric underflow” and “fake minimum” prevalent in existing fuzzy systems (FSs) when handling high-dimensional data. During the design process of ADP-softmin, we discover that the traditional Gaussian membership function (Gaussian TMF) may lead to ADPTSK FS crash due to its not having a positive infimum, prompting us to give a Gaussian membership function with a positive infimum (Gaussian PIMF). The effective combination of ADP-softmin and Gaussian PIMF enables ADPTSK to handle data with over one hundred thousand features. The ADPTSK is evaluated on 14 classification datasets with feature dimensions ranging from 1,024 to 120,432. The experimental results indicate that ADPTSK exhibits competitive performance in handling high-dimensional problems.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"521 ","pages":"Article 109582"},"PeriodicalIF":2.7,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049888","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

Chain-based Sugeno-like operators: A new take on the Sugeno integral as a scientometric tool 基于链的类Sugeno算子：作为科学计量学工具的Sugeno积分的新应用

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-09 DOI: 10.1016/j.fss.2025.109578

Jana Borzová, Ondrej Hutník, Miriam Kleinová

引用次数: 0

Some new properties of decomposition integrals and the extensions of fuzzy entropies 分解积分的一些新性质及模糊熵的推广

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-09 DOI: 10.1016/j.fss.2025.109577

Rui Lv , Jun Li , Yuhuan Wang , Zhanxin Yang

引用次数: 0

The ⁎-fuzzy Lebesgue-Radon-Nikodym theorem and differentiation in fuzzy measure theory 模糊测度理论中的f -fuzzy Lebesgue-Radon-Nikodym定理与微分

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-09-09 DOI: 10.1016/j.fss.2025.109579

Abbas Ghaffari , Reza Chaharpashlou

引用次数: 0

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