Fuzzy Sets and Systems最新文献_第2页

Fuzzy clustering of time series based on trend feature information granulation 基于趋势特征信息粒化的时间序列模糊聚类

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-08 DOI: 10.1016/j.fss.2025.109522

Bin Yu, Chongyan Wu

{"title":"Fuzzy clustering of time series based on trend feature information granulation","authors":"Bin Yu, Chongyan Wu","doi":"10.1016/j.fss.2025.109522","DOIUrl":"10.1016/j.fss.2025.109522","url":null,"abstract":"<div><div>Clustering is a means to mine valuable information from complex and massive time series data sets, and information granulation is a new strategy to simulate human thinking and solve complex problems. The combination of the two provides a new perspective for knowledge discovery of time series. In this paper, the feature extraction of time series is carried out, and the trend feature is abstractly represented by information granulation to reduce the data scale. Then, a fuzzy C-means clustering algorithm of time series based on trend feature information granules is proposed. First, hodrick prescott (HP) filtering is used to process the raw time series data, removing noise and redundancy. Secondly, the global continuous fitting function is obtained by polynomial curve fitting (PCF) to the time series data. Thirdly, the polynomial function derivative (PFD) values of each time point are obtained by the function as the trend feature, and the time series is transformed into the trend feature series. Then, the feature sequence is segmented optimally. According to the principle of reasonable particle size, the feature sequence is represented by a group of information granule, and the dimensionality is reduced to transform the trend feature information granule (TFIG) sequence. Finally, the fuzzy clustering of time series is realized in the transformed representation space (information granule space). In the process of clustering, a trend feature information granule-based dynamic time warping (TFIG-DTW) algorithm is developed for calculating the distance of two equal-length or unequal-length granular time series, and weighted DTW barycenter averaging (wDBA) is extended to fuzzy C-means (FCM) algorithm to update cluster prototype. Finally, UCR time series database and stock data set are used as experimental objects to verify the effectiveness and superiority of fuzzy clustering method.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109522"},"PeriodicalIF":3.2,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144588876","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

Pearson correlation coefficient-guided large-scale fuzzy cognitive maps learning algorithm 基于Pearson相关系数的大规模模糊认知地图学习算法

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-08 DOI: 10.1016/j.fss.2025.109523

Qimin Zhou, Yingcang Ma, Zhiwei Xing, Xiaofei Yang

{"title":"Pearson correlation coefficient-guided large-scale fuzzy cognitive maps learning algorithm","authors":"Qimin Zhou, Yingcang Ma, Zhiwei Xing, Xiaofei Yang","doi":"10.1016/j.fss.2025.109523","DOIUrl":"10.1016/j.fss.2025.109523","url":null,"abstract":"<div><div>Fuzzy cognitive maps (FCMs) are interpretable soft computing methods. In recent years, various algorithms have been proposed for automatically learning FCMs. However, the density of the weight matrix used for learning is often significantly higher compared with real FCMs. Moreover, the process involving learning causal relationships from large-scale data lacks guidance based on knowledge, so it is necessary to proactively explore the relationships between concept nodes to guide the learning process for FCMs. Inspired by the expert knowledge guidance used in the traditional algorithms for learning FCMs, we propose employing Pearson correlation coefficients (PCC) to guide the learning of FCMs. The PCC is a statistical measure used to assess the strength of the linear relationship between two variables, and it provides information about the strength and direction of the relationship. Therefore, we propose a new algorithm for learning large-scale FCMs with PCC guidance called PCCG-FCM. The PCCG-FCM model has the following three terms. The first term is an adaptive loss function to enhance the robustness of the model. The second term employs the <span><math><msub><mrow><mi>l</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-norm to promote the sparsity of the weight matrix. The third term is our proposed PCC-guided term, where we leverage the PCC between the dependent and independent variables in a linear equation system to guide the learning of FCMs. We conducted several tests using real and artificial data. In addition, gene regulatory networks were reconstructed with the PCCG-FCM algorithm. The results showed that the proposed approach performed well.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109523"},"PeriodicalIF":3.2,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144654105","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-based optimization for instrumental variables “relationship between poverty and inequality in MENA” 基于模糊优化的工具变量“中东和北非地区贫困与不平等关系”

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-07 DOI: 10.1016/j.fss.2025.109538

Besma Belhadj , Mejda Bouanani , Firas Kaabi

引用次数: 0

Ordinal sum combinations of continuous t-norms and their related ordered algebraic structures 连续t模的有序和组合及其相关的有序代数结构

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-07 DOI: 10.1016/j.fss.2025.109521

Hongjun Zhou

{"title":"Ordinal sum combinations of continuous t-norms and their related ordered algebraic structures","authors":"Hongjun Zhou","doi":"10.1016/j.fss.2025.109521","DOIUrl":"10.1016/j.fss.2025.109521","url":null,"abstract":"<div><div>Recently, Vemuri et al. (2023) <span><span>[15]</span></span> proposed two operators for constructing new continuous t-norms with the intent of integrating the ordinal sum structures of given ones. Unfortunately, these two operators on non-trivial ordinal sum t-norms are not well-defined so that almost all the results in that part as well as some ones of the following papers are incorrect. The purpose of this paper is to revisit such topic, to redefine a pair of combination operations and to study their related ordered algebraic structures. It is proved that our redefined operations both satisfy the laws of commutativity, associativity, idempotency, and <em>finer</em> absorption, and take the minimum t-norm as the absorption and neutral elements, respectively. Since these operations will finerize in general the subintervals of the underlying t-norms, it is impossible to make the set of all continuous t-norms a lattice under these two operations, and then we turn to find the sufficient and necessary conditions for these operations to be lattice operations and get finally many distributive sublattices of continuous t-norms. Among four possible pairs of ordinal sum combination operations on continuous t-norms, the pair defined in the text matches every well and induces the richest distributive sublattice structures. Lastly, our redefined operations are applied to the contexts of <span><math><mo>(</mo><mi>S</mi><mo>,</mo><mi>N</mi><mo>)</mo></math></span>-implications and residual implications with continuous t-conorms and t-norms, respectively.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109521"},"PeriodicalIF":3.2,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144581053","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

White shark beetle optimizer enabled deep fuzzy clustering for feature selection and big data clustering in MapReduce framework 白鲨甲虫优化器在MapReduce框架中实现了深度模糊聚类，用于特征选择和大数据聚类

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-05 DOI: 10.1016/j.fss.2025.109536

Omkaresh Kulkarni , Chitrakant Banchhor , V. Ravi Sankar

{"title":"White shark beetle optimizer enabled deep fuzzy clustering for feature selection and big data clustering in MapReduce framework","authors":"Omkaresh Kulkarni , Chitrakant Banchhor , V. Ravi Sankar","doi":"10.1016/j.fss.2025.109536","DOIUrl":"10.1016/j.fss.2025.109536","url":null,"abstract":"<div><div>Big data analytics have gained substantial attention over traditional data-processing methods, as they excel in uncovering hidden patterns and correlations within massive datasets, commonly referred to as big data. Advancements in information technology and the rapid expansion of the web have significantly increased the volume of data generated and utilized in everyday life. Moreover, traditional methods often struggle with efficiency and accuracy. These challenges are crucial to address, as the era of big data is transforming various domains, from research to real-world applications, where accurate analysis is critical. This study introduces White Shark Beetle Optimizer + Deep Fuzzy Clustering (WSBO+DFC), an innovative method designed to efficiently process and analyze big data. At the beginning, the input big data is retrieved from the database and transmitted to the MapReduce framework for processing. The MapReduce architecture has two phases, namely the mapper phase and the reducer phase. In the mapper phase, key-value pairs are generated from the dataset, providing structure to the previously unstructured data. This phase consists of multiple mappers, where feature selection is performed using Support Vector Machine (SVM) and Recursive Feature Elimination (SVM-RFE). To optimize the weight parameters of SVM, the proposed White Shark Beetle Optimizer (WSBO) is employed. Alternatively, in a reduced phase, the entire selected features are merged. After that, the fused features are subjected to big data clustering, which is conducted by utilizing Deep Fuzzy Clustering (DFC). The weight update process within DFC is guided by the WSBO, which is developed through the integration of the White Shark Optimizer (WSO) and the Dung Beetle Optimizer (DBO). The developed method achieved a Maximum accuracy of 89.87% and a maximum DB Index of 0.995.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109536"},"PeriodicalIF":3.2,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144633594","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-based asynchronous fault detection filter for switch T-S fuzzy systems under hybrid attacks 混合攻击下基于事件的开关T-S模糊系统异步故障检测滤波器

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-03 DOI: 10.1016/j.fss.2025.109517

Jiying Liu, Dan Peng, Yuechao Ma

{"title":"Event-based asynchronous fault detection filter for switch T-S fuzzy systems under hybrid attacks","authors":"Jiying Liu, Dan Peng, Yuechao Ma","doi":"10.1016/j.fss.2025.109517","DOIUrl":"10.1016/j.fss.2025.109517","url":null,"abstract":"<div><div>This article is concerned with the issue of event-triggered asynchronous fault detection filtering (AFDF) for switched T-S fuzzy systems (STSFSs) under hybrid attacks. First, a resilient event-triggering mechanism (ETM) is introduced, which not only removes the constraint that the interval between two consecutive triggering instants must be strictly less than the average dwell time but also ensures the immediate release of data upon the cessation of attacks. Second, the paper takes into account the simultaneous presence of deception attacks and DoS attacks in the transmission of network information. Within this framework, the transmission signals are susceptible to attacks, and the ETM causes asynchronous behavior between filter modes and system modes, increasing the complexity of the filter design. To conquer this challenge, the dynamic characteristics of the initial system are integrated with the fault detection filter, hybrid attacks, and ETM to formulate a novel switching residual model. Third, a set of multiple Lyapunov functions, correlating with the filter modes, system modes, and attack signals, which is constructed to analyze the exponential stability and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance of the switching residual system. Ultimately, the effectiveness of the proposed methods is validated through two illustrative examples.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109517"},"PeriodicalIF":3.2,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144549109","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 state-of-the-art survey of the most prominent classes of uninorms on the unit interval 在单位间隔上对最突出的制服类别进行了最新的调查

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-03 DOI: 10.1016/j.fss.2025.109518

Yong Su , Wenwen Zong , Andrea Mesiarová-Zemánková , Radko Mesiar , Bernard De Baets

{"title":"A state-of-the-art survey of the most prominent classes of uninorms on the unit interval","authors":"Yong Su , Wenwen Zong , Andrea Mesiarová-Zemánková , Radko Mesiar , Bernard De Baets","doi":"10.1016/j.fss.2025.109518","DOIUrl":"10.1016/j.fss.2025.109518","url":null,"abstract":"<div><div>Uninorms were introduced by Yager and Rybalov as a generalization of both t-norms and t-conorms. They have been studied extensively both as aggregation functions and as logical connectives. Describing the full structure of the entire class of uninorms remains challenging, and thus several classes of uninorms have been put forward. In 2015, Mas et al. compiled the existing classes of uninorms in two primary frameworks: the real unit interval <span><math><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></math></span> and the discrete setting. However, in recent years, theoretical research on the characterization of the classes of uninorms on the real unit interval has made significant progress, especially for the class of uninorms with continuous underlying functions, the class of uninorms that are internal on the boundary, and the class of uninorms that are internal on non-trivial cuts. This review presents a careful selection of results that shed light on the structure of the members of the most prominent classes of uninorms on the real unit interval. The selected results describe the structure of uninorms in a way similar to the well-known structural description of continuous t-norms credited to Ling, based on a result by Mostert and Shields. To ensure the comprehensive and self-contained nature of our presentation, findings from before 2015 are also briefly presented, thereby also facilitating the verification of subsequent discoveries. Several significant results are omitted due to the limited space; however, the major part of the quintessential references is provided for the interested reader.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109518"},"PeriodicalIF":3.2,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144556624","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

Approximability of triangular fuzzified nonlinear T–S fuzzy systems to p-integrable functions based on piecewise linear functions 基于分段线性函数的三角模糊化非线性T-S模糊系统对p可积函数的逼近性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-03 DOI: 10.1016/j.fss.2025.109527

Deli Zhang, Guijun Wang

{"title":"Approximability of triangular fuzzified nonlinear T–S fuzzy systems to p-integrable functions based on piecewise linear functions","authors":"Deli Zhang, Guijun Wang","doi":"10.1016/j.fss.2025.109527","DOIUrl":"10.1016/j.fss.2025.109527","url":null,"abstract":"<div><div>The piecewise linear function (PLF) is an extension of subsection linear function with one variable on Euclidean space, and it plays an important bridging role in characterizing the relationship between the fuzzy systems and the approximated function. In this article, the determinant linear expression of PLF is introduced by subdividing the input space of <em>p-</em>integral functions and solving linear equations systems, and analyzes and represents the vertex coordinates of these small polyhedrons obtained after subdivision through geometric methods. A triangular fuzzified nonlinear Takagi Sugeno (TFNL T–S) fuzzy system is established by introducing the fuzzy rules of the nonlinear output and the determinant coefficients of PLF, and it was proved through the <em>p</em>-integral norm and matrix norm that TFNL T–S fuzzy system has approximation performance for <em>p</em>-integrable functions when all parameters of a linear part in the consequents of the rules take non-zero constants. Finally, the numerical simulations were conducted on the approximation performance of TFNL T–S fuzzy systems through simulation examples. The results show that the proposed TFNL T–S fuzzy system can indeed approximate a given <em>p</em>-integrable function with arbitrary accuracy.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109527"},"PeriodicalIF":3.2,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144679861","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

Filtration-and-weighting-based triangular bounded consistency of interval-valued fuzzy preference relations 基于过滤加权的区间值模糊偏好关系的三角有界一致性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-03 DOI: 10.1016/j.fss.2025.109524

Wenjun Chang , Na Zhang , Huijuan Ren , Chao Fu

{"title":"Filtration-and-weighting-based triangular bounded consistency of interval-valued fuzzy preference relations","authors":"Wenjun Chang , Na Zhang , Huijuan Ren , Chao Fu","doi":"10.1016/j.fss.2025.109524","DOIUrl":"10.1016/j.fss.2025.109524","url":null,"abstract":"<div><div>Consistency of interval-valued fuzzy preference relations (IVFPRs) is an essential property in decision-making to characterize the logic of decision-makers’ preferences. The triangular bounded consistency (TBC) of IVFPRs is a newly proposed type of consistency that corresponds to the bounded rationality of decision-makers, considering their historical preferences. The effectiveness and coherence of historical preferences should be considered to help characterize decision-makers’ real preferences under the assumption that their preferences are consistent in previous and current decision-making scenarios. To address this issue, this paper proposes a new type of consistency of IVFPRs called filtration-and-weighting-based triangular bounded consistency (FWTBC) based on the bounded rationality of decision-makers. By transforming historical IVFPRs into triangle pairs, a process of filtering abnormal triangle pairs is created based on the box plot to guarantee their effectiveness, and a process of determining the weights of the remaining triangle pairs is constructed to improve their coherence. These two processes are then integrated into the TBC of IVFPRs to generate the FWTBC of IVFPRs. A multi-criteria group decision-making method with the FWTBC of IVFPRs is presented and then applied to a thyroid biopsy needle supplier selection problem for a tertiary hospital located in Hefei City, Anhui Province, China.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109524"},"PeriodicalIF":3.2,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144597611","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

Fully distributed pinning synchronization of coupled Takagi-Sugeno fuzzy neural networks with aperiodic intermittent communication 具有非周期间歇通信的耦合Takagi-Sugeno模糊神经网络的全分布钉钉同步

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-02 DOI: 10.1016/j.fss.2025.109519

Dan Liu , Kaibo Shi , Xiaohong Cui , Kun Zhou , Binrui Wang

引用次数: 0