Fuzzy Sets and Systems最新文献

{"title":"Data-driven poverty rate prediction in tunisia using a fuzzy-exponential framework","authors":"Besma Belhadj ,&nbsp;Mejda Bouanani","doi":"10.1016/j.fss.2025.109511","DOIUrl":"10.1016/j.fss.2025.109511","url":null,"abstract":"<div><div>This study introduces a hybrid approach to poverty forecasting by combining fuzzy logic with traditional time series models. Using Tunisia’s poverty rate data from 2000 to 2024, the research applies exponential smoothing as a baseline and integrates fuzzy membership functions to better capture uncertainty. The proposed model improves prediction accuracy, offering a more flexible and adaptive tool for economic policy planning. Results highlight the effectiveness of fuzzy-based forecasting in addressing the limitations of conventional methods in dynamic socioeconomic contexts. Moreover, the proposed methodology is adaptable and can be tailored to reflect the specific characteristics of different countries and contexts, ensuring relevance and effectiveness across diverse settings.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109511"},"PeriodicalIF":3.2,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321721","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}

{"title":"L2-regularization based two-way weighted neutrosophic clustering with Manhattan and Euclidean distances","authors":"Haoye Qiu ,&nbsp;Zhe Liu ,&nbsp;Haojian Huang ,&nbsp;Sukumar Letchmunan ,&nbsp;Muhammet Deveci ,&nbsp;Tapan Senapati","doi":"10.1016/j.fss.2025.109507","DOIUrl":"10.1016/j.fss.2025.109507","url":null,"abstract":"<div><div>Neutrosophic <em>c</em>-means clustering (NCM) is a promising algorithm to solve uncertainty and imprecision in data analysis. Despite its intensive exploration, one major challenge still needs to be addressed, <em>i.e.</em> how to efficiently reveal the latent structure of the dataset and improve clustering performance by discriminating the contributions of different objects and features in the clustering process. In this paper, a general neutrosophic clustering framework is proposed to address the aforementioned issue. Specifically, we develop an <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-regularization based two-way weighted scheme to learn the discriminative capability of different features and gauge the importance of different objects. In the proposed framework, we employ Manhattan and Euclidean distances as two different dissimilarity metrics, respectively. Additionally, we design the iterative optimization procedures to obtain neutrosophic partition, cluster centers, object weights and feature weights. Extensive experimental studies corroborate that the proposed algorithms achieve superior performance over other comparative algorithms on five synthetic and twenty real-world datasets.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109507"},"PeriodicalIF":3.2,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144280894","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}

{"title":"Periodic event-triggered control for networked T-S fuzzy systems with packet losses and delays","authors":"Xiuxiu Zhang ,&nbsp;Jumei Wei ,&nbsp;Xun-Lin Zhu ,&nbsp;Mouquan Shen ,&nbsp;Jiuxiang Dong","doi":"10.1016/j.fss.2025.109503","DOIUrl":"10.1016/j.fss.2025.109503","url":null,"abstract":"<div><div>In this paper, we address the problem of dynamic periodic event-triggered control (PETC) for networked Takagi-Sugeno (T-S) fuzzy systems subject to packet losses and transmission delays without acknowledgments. To save network resources efficiently, we adopt two independent and asynchronous event-triggering mechanisms (ETMs) on the sensor-controller (S-C) and controller-actuator (C-A) channels to determine whether the measurement output and control input need to be transmitted over the networks. Firstly, we introduce auxiliary variables and design appropriate jump rules to monitor the change process of the network-induced errors. Subsequently, we provide design conditions for the triggering function and dynamic variables of each trigger, and represent these conditions by using the locally available information of the corresponding trigger. Then, we propose a PETC strategy based on the emulation method, which can ensure the asymptotic stability of the system and only needs to check the triggering functions periodically. Finally, we give a numerical example to validate the feasibility and effectiveness of the theoretical results.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109503"},"PeriodicalIF":3.2,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144297792","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}

{"title":"Min-product fuzzy relation inequalities with absent variables and their weighted max-min optimization in supply chain system","authors":"Haoyu Lei ,&nbsp;Qianyu Shu ,&nbsp;Xiaopeng Yang","doi":"10.1016/j.fss.2025.109506","DOIUrl":"10.1016/j.fss.2025.109506","url":null,"abstract":"<div><div>We mainly investigate the min-product fuzzy relation inequalities (FRIs) with arbitrary <em>l</em> absent variables to address the pricing issue and account for sudden factors in the supply chain system. We first define the <span><math><mi>l</mi><mo>+</mo><mn>1</mn></math></span> dimensional path (abbreviated as <span><math><mo>(</mo><mi>l</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>D</mi></math></span> path), and provide some properties related to the corresponding solutions. An algorithm based on the <span><math><mo>(</mo><mi>l</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>D</mi></math></span> path is proposed to solve the FRIs system. It is verified that the complete solution set of the FRIs system is entirely determined by the unique minimum solution and the finite <span><math><mo>(</mo><mi>l</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>D</mi></math></span> path solution. Then we also establish a weighted max-min optimization problem subject to min-product FRIs with arbitrary <em>l</em> absent variables. An algorithm with polynomial time complexity based on the weighted optimal <span><math><mo>(</mo><mi>l</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>D</mi></math></span> path is developed to obtain the optimal solution and objective value. More, we further characterize the complete optimal solution set to our established weighted max-min optimization problem. Several numerical examples are presented to illustrate the feasibility and simplicity of our developed algorithm.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109506"},"PeriodicalIF":3.2,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314082","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}

{"title":"An additive seasonal decomposition time series model based on triangular fuzzy random variables","authors":"Gholamreza Hesamian,&nbsp;Faezeh Torkian","doi":"10.1016/j.fss.2025.109500","DOIUrl":"10.1016/j.fss.2025.109500","url":null,"abstract":"<div><div>In this paper, a common additive seasonally decomposed time series model is developed for the case where the observed data are triangular fuzzy numbers instead of exact values. For this purpose, the concept of autocorrelation and the corresponding estimator for triangular fuzzy random variables are first defined. The most important properties, such as consistency, are then discussed. The unknown fuzzy trend, fuzzy seasonality and fuzzy remainder terms are estimated in three stages. In stage 1, the unknown fuzzy trend term is estimated by a local polynomial regression model. In stage 2, a methodology for estimating the fuzzy seasonality term is extended. A general harmonic regression model determines the center of the fuzzy seasonality term, and we estimate the left and right dispersion using a commonly used nonparametric time series model. We then evaluate the unknown remainder term using a generalized difference operation of fuzzy numbers. An extended autocorrelation function representation ensures that the fuzzy remainder term is approximately noisy. Six well-established criteria for assessing goodness-of-fit are used to measure the effectiveness of the proposed time series model in comparison to other time series models when dealing with triangular fuzzy numbers. The practical applicability and superiority of the proposed time series model are demonstrated by a comparative analysis using a simulation study and two applications with real-life fuzzy data.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109500"},"PeriodicalIF":3.2,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314124","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}

{"title":"Rank-dependent set-based association measures","authors":"Radko Mesiar ,&nbsp;Anna Kolesárová ,&nbsp;Ayyub Sheikhi ,&nbsp;Fateme Kouchakinejad","doi":"10.1016/j.fss.2025.109505","DOIUrl":"10.1016/j.fss.2025.109505","url":null,"abstract":"<div><div>Association measures capturing rank-dependent stochastic dependence of two random variables are considered. These measures can be seen as special functions on the class of all 2-dimensional copulas. The major part of this work is devoted to the introduction and study of linear rank-dependent association measures <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>G</mi></mrow></msub></math></span> based on finite sets <span><math><mi>G</mi><mo>=</mo><mo>{</mo><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>y</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>)</mo><mo>,</mo><mo>…</mo><mo>,</mo><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>,</mo><msub><mrow><mi>y</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>)</mo><mo>}</mo></math></span> of points from the open unit square <span><math><mo>]</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>[</mo><msup><mrow></mrow><mrow><mn>2</mn></mrow></msup></math></span>. Among several examples, we also present discrete approximations of Spearman's <em>ρ</em> and Spearman's footrule <em>ϕ</em>. To capture possibly different importances of points <span><math><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>,</mo><msub><mrow><mi>y</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>)</mo><mo>∈</mo><mi>G</mi></math></span>, we propose to equip the sets <em>G</em> with a probability <em>P</em>, and consider the <em>P</em>-sets <span><math><msub><mrow><mi>G</mi></mrow><mrow><mi>P</mi></mrow></msub><mo>=</mo><mo>{</mo><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>y</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>)</mo><mo>,</mo><mo>…</mo><mo>,</mo><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>,</mo><msub><mrow><mi>y</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>)</mo><mo>}</mo></math></span>. Then we study the related association measures <span><math><msub><mrow><mi>L</mi></mrow><mrow><msub><mrow><mi>G</mi></mrow><mrow><mi>P</mi></mrow></msub></mrow></msub></math></span>. Finally, rank-dependent association measures based on probabilities or special <em>σ</em>-additive measures, not necessarily bounded, are considered.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109505"},"PeriodicalIF":3.2,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314081","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}

{"title":"Randomized algorithms for computing the fuzzy weighted average and the generalized centroid of an interval type-2 fuzzy set","authors":"Xianliang Liu ,&nbsp;Zishen Yang","doi":"10.1016/j.fss.2025.109508","DOIUrl":"10.1016/j.fss.2025.109508","url":null,"abstract":"<div><div>The fuzzy weighted average is an useful aggregation method in multiple criteria decision making, while the generalized centroid of an interval type-2 fuzzy set (IT2 FS) is an important type reduction method in interval type-2 fuzzy logic systems. They are two different concepts in different fields. However, computing the fuzzy weighted average and the generalized centroid of an IT2 FS are nearly identical. Traditionally, all the weights in the fuzzy weighted average must be non-negative. The main aim of this paper is to extend the fuzzy weighted average to the case with negative weights. First, it is analyzed and proven strictly from the mathematical point to the properties of optimal solutions to the optimization models which can include negative weights. Second, two efficient randomized algorithms are proposed to solve the fuzzy weighted average in the case with negative weights and the generalized centroid of an IT2 FS. Finally, the outputs of the proposed randomized algorithms are proven to be the optimal values and the efficiencies of the proposed randomized algorithms are analyzed and demonstrated by numerical experiments and simulations.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109508"},"PeriodicalIF":3.2,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144297791","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}

{"title":"Self-triggered fuzzy fault-tolerant adaptive containment control for nonlinear multi-agent systems with uncertain control gains","authors":"Jianhui Wang ,&nbsp;Zikai Hu ,&nbsp;Yiting Chen ,&nbsp;Zhi Liu ,&nbsp;C.L. Philip Chen ,&nbsp;Kairui Chen","doi":"10.1016/j.fss.2025.109504","DOIUrl":"10.1016/j.fss.2025.109504","url":null,"abstract":"<div><div>A fixed-time fault-tolerant containment control method is proposed for nonlinear multi-agent systems (MASs) subject to unknown actuator failures, unknown time-varying control gains, and uncertain disturbances. To address the dual challenges of limited communication resources and performance degradation caused by these anomalies, an adaptive fuzzy self-triggered mechanism (AFSTM) is developed to reduce bandwidth pressure while implementing containment control for MASs. The proposed AFSTM enables the agents to calculate the next trigger time at each trigger moment, avoiding continuous monitoring of control signals. Meanwhile, the proposed strategy ensures that all followers converge to the convex hull spanned by multiple leaders within a fixed time, independent of initial system states, as rigorously proven through Lyapunov stability analysis and algebraic graph theory. Eventually, simulations validate the effectiveness of the proposed method in achieving containment control with reduced communication burden.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109504"},"PeriodicalIF":3.2,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144255115","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}

{"title":"Stability analysis for Takagi-Sugeno fuzzy systems with a periodically varying delay via a generalized allowable delay set partitioning approach","authors":"Yun Chen ,&nbsp;Xin Wang ,&nbsp;Yaqi Li ,&nbsp;Yunfei Qiu ,&nbsp;Shuangcheng Sun","doi":"10.1016/j.fss.2025.109502","DOIUrl":"10.1016/j.fss.2025.109502","url":null,"abstract":"<div><div>Recently, researchers have employed a monotone-delay-interval-based Lyapunov-Krasovskii functional (LKF) to investigate the delay-dependent stability of Takagi-Sugeno (T-S) fuzzy systems with a periodically varying delay. However, this method is limited by its looped LKF structure and seems to ignore the benefits of partitioning the allowable delay set. To address this gap, a generalized allowable delay set partitioning approach is introduced, leveraging the definition of the allowable delay set and a region partitioning scheme, to analyze the stability of T-S fuzzy systems with a periodically varying delay. Our approach allows the construction of different LKFs in various partition sets. This flexibility, compared to existing methods, relaxes the structure of LKF construction and enhances the utilization of system state and delay function information. Subsequently, stability criteria, which exhibit a hierarchy, for T-S fuzzy systems with a periodically varying delay are derived. Finally, the efficacy and superiority of the proposed stability criteria are confirmed through two numerical examples and a practical truck-trailer system.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109502"},"PeriodicalIF":3.2,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144263878","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}

{"title":"Asymmetry of copulas with a given opposite diagonal section","authors":"Damjana Kokol Bukovšek ,&nbsp;Blaž Mojškerc ,&nbsp;Nik Stopar","doi":"10.1016/j.fss.2025.109496","DOIUrl":"10.1016/j.fss.2025.109496","url":null,"abstract":"<div><div>In this paper we investigate bivariate copulas with a given opposite diagonal section. We determine the exact lower bound for all such copulas and derive an explicit formula for the maximal asymmetry for copulas with a given opposite diagonal section. As a special case, we consider the situation when the opposite diagonal section is symmetric and unimodal, which is true in many applications. To obtain our results, we also calculate the maximal asymmetry of all distributions with fixed marginals, which is an interesting result by itself.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109496"},"PeriodicalIF":3.2,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241797","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}