Fuzzy Sets and Systems最新文献_第10页

A fuzzy set-based methodology for autonomous navigation 基于模糊集的自主导航方法

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-06-03 DOI: 10.1016/j.fss.2025.109485

Ehsan Adel Rastkhiz, Howard Schwartz, Ioannis Lambadaris

{"title":"A fuzzy set-based methodology for autonomous navigation","authors":"Ehsan Adel Rastkhiz, Howard Schwartz, Ioannis Lambadaris","doi":"10.1016/j.fss.2025.109485","DOIUrl":"10.1016/j.fss.2025.109485","url":null,"abstract":"<div><div>This paper presents a fuzzy set-based methodology to achieve simultaneous path adherence and local collision avoidance in autonomous navigation. It targets scenarios where a global path to the vehicle's destination is already planned but with imperfect knowledge of the obstacles in the environment and their dynamics. Assuming that the vehicle can localize itself and the obstacles around it, the proposed methodology incorporates the global path and the acquired real-time knowledge of the local obstacles by the vehicle to create a comprehensive fuzzy representation of the environment. This fuzzy representation is then utilized to assess the desirability of the vehicle states within an optimization framework that balances global path adherence and obstacle avoidance objectives. The proposed gradient-based solution to this optimization problem navigates the vehicle such that it maintains its global course toward the designated destination while avoiding collision with local obstacles. Extensive simulations on a mobile robot validate the method's efficacy in guiding vehicles along desired paths, maneuvering around obstacles with minimal deviation from the route, and negotiating local minima without oscillations. Additionally, simulation results highlight the proposed fuzzy set-based methodology's low computational complexity, real-time operation capability, and adaptability in handling complex geometries of paths and obstacles.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"518 ","pages":"Article 109485"},"PeriodicalIF":3.2,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144230048","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 fractional spectral Galerkin method for fuzzy Volterra integral equations with weakly singular kernels: Regularity, convergence, and applications 弱奇异核模糊Volterra积分方程的分数阶谱伽辽金方法：正则性、收敛性和应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-06-03 DOI: 10.1016/j.fss.2025.109488

Younes Talaei , Mahmoud A. Zaky , Ahmed S. Hendy

引用次数: 0

Fuzzy Green's relations and its applications in E-fuzzy semigroups 模糊格林关系及其在e -模糊半群中的应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-06-03 DOI: 10.1016/j.fss.2025.109482

Yuan Zhi , Qingguo Li , Xiangnan Zhou

{"title":"Fuzzy Green's relations and its applications in E-fuzzy semigroups","authors":"Yuan Zhi , Qingguo Li , Xiangnan Zhou","doi":"10.1016/j.fss.2025.109482","DOIUrl":"10.1016/j.fss.2025.109482","url":null,"abstract":"<div><div>Within the framework of fuzzy algebras with fuzzy equality and a complete lattice for membership values, this paper introduces a novel fuzzified version of classical Green's relations on <em>E</em>-fuzzy semigroups, referred to as <em>E</em>-fuzzy Green's relations. We reveal several properties of <em>E</em>-fuzzy semigroups, including the properties of fuzzy unit elements within <em>E</em>-fuzzy cancellative semigroups. Additionally, we derive equivalent forms of these newly defined fuzzy relations and examine the properties of their associated cut-quotient structures in certain <em>E</em>-fuzzy semigroups. The <em>E</em>-fuzzy Green's relations on <em>E</em>-fuzzy semigroups are found to be compatible fuzzy equivalence relations (fuzzy equalities) on some <em>E</em>-fuzzy bands. Furthermore, we present two significant decomposition theorems related to the cut-quotient structures over fuzzy Green's relations, demonstrating that these structures have additional algebraic properties compared with the quotient structures over ordinary fuzzy equality <span><math><msup><mrow><mi>E</mi></mrow><mrow><mi>μ</mi></mrow></msup></math></span>.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109482"},"PeriodicalIF":3.2,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204998","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

Updating information based on generalized credal sets. Part 3: Applications to statistical inference 基于广义凭证集的信息更新。第3部分：统计推断的应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-06-02 DOI: 10.1016/j.fss.2025.109483

Andrey G. Bronevich , Igor N. Rozenberg

引用次数: 0

Q-Set is not generally a topos Q-Set一般不是一个拓扑

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-30 DOI: 10.1016/j.fss.2025.109484

Xiao Hu, Lili Shen

引用次数: 0

Weak dual (M)-property and equality of integrals 弱对偶(M)-积分的性质与等式

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-28 DOI: 10.1016/j.fss.2025.109473

Wenxuan Wang, Siqi Chen, Xuanming Ye, Xiaoyang Chen, Yao Ouyang

引用次数: 0

Frame-valued assembly and its applications 框值装配及其应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-28 DOI: 10.1016/j.fss.2025.109472

Mengying Liu, Yueli Yue

{"title":"Frame-valued assembly and its applications","authors":"Mengying Liu, Yueli Yue","doi":"10.1016/j.fss.2025.109472","DOIUrl":"10.1016/j.fss.2025.109472","url":null,"abstract":"<div><div>The aim of this paper is to use fuzzy domain theory to study some cartesian closed categories containing the category of stratified <em>L</em>-topological spaces when the truth value table <em>L</em> is a frame. Firstly, we introduce the concept of <em>L</em>-fuzzy assemblies and prove that <em>L</em>-<strong>FAssm</strong>—the category of <em>L</em>-fuzzy assemblies—is cartesian closed. <em>L</em>-<strong>FAssm</strong> contains the category of stratified <em>L</em>-topological spaces as a full and faithful subcategory. Secondly, by equipping a stratified <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>-<em>L</em>-topological space with an equivalence relation, we introduce the concept of <em>L</em>-equilogical spaces and show that <em>L</em>-<strong>Equ</strong>—the category of <em>L</em>-equilogical spaces—is also cartesian closed. Then we give two categories which are equivalent to <em>L</em>-<strong>Equ</strong>. Finally, we show that there is a pair of adjoint functors between the category of <em>L</em>-fuzzy assemblies and the category of <em>L</em>-generalized convergence spaces. Further, we construct two subcategories of <em>L</em>-fuzzy assemblies satisfying certain conditions, which are equivalent to the category of <em>L</em>-Kent convergence spaces and the category of <em>L</em>-limit spaces, respectively.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109472"},"PeriodicalIF":3.2,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144146334","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

Optimal weights and feasible orness of ordered weighted averaging functions in the framework of Tsallis entropy Tsallis熵框架下有序加权平均函数的最优权值和可行度

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-28 DOI: 10.1016/j.fss.2025.109471

Silvia Bortot , R.A. Marques Pereira , Anastasia Stamatopoulou

{"title":"Optimal weights and feasible orness of ordered weighted averaging functions in the framework of Tsallis entropy","authors":"Silvia Bortot , R.A. Marques Pereira , Anastasia Stamatopoulou","doi":"10.1016/j.fss.2025.109471","DOIUrl":"10.1016/j.fss.2025.109471","url":null,"abstract":"<div><div>We discuss the application of the maximum entropy principle to the strict weighting vectors of ordered weighted averaging functions with a given orness. The problem has been thoroughly investigated by O'Hagan, Filev and Yager, and Fullér and Majlender in the context of the classical Shannon entropy. In this paper we extend the analysis to the more general context of Tsallis entropy for positive parameter values, which reduces to Shannon entropy in the unit parameter case. In our approach, whose key element is the convenient choice of a composite Lagrange multiplier, the existence of an optimal and monotonic strict weighting vector is proven for a feasible orness interval <span><math><mo>(</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mi>m</mi><mi>i</mi><mi>n</mi></mrow><mrow><mi>γ</mi></mrow></msubsup><mo>,</mo><msubsup><mrow><mi>Ω</mi></mrow><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow><mrow><mi>γ</mi></mrow></msubsup><mo>)</mo></math></span> which depends on the Tsallis entropy parameter. In the small parameter domain (under unit) the feasible orness interval remains the full unit interval, as in the standard Shannon entropy case. On the other hand, in the large parameter domain (over unit) the feasible orness interval reduces to a symmetric interval around the neutral orness <span><math><mi>Ω</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></math></span>, which gradually reduces for increasing values of the Tsallis entropy parameter.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109471"},"PeriodicalIF":3.2,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168421","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 Transformer network calibrated with fuzzy logic for phishing URL detection 一个变压器网络校准与模糊逻辑的网络钓鱼URL检测

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-25 DOI: 10.1016/j.fss.2025.109474

Seok-Jun Buu , Sung-Bae Cho

{"title":"A Transformer network calibrated with fuzzy logic for phishing URL detection","authors":"Seok-Jun Buu , Sung-Bae Cho","doi":"10.1016/j.fss.2025.109474","DOIUrl":"10.1016/j.fss.2025.109474","url":null,"abstract":"<div><div>In the field of cybersecurity, phishing attacks by leveraging deceptive URLs continue to be a formidable challenge. These attacks evolve continuously, often rendering traditional detection methods inadequate. Even powerful deep learning models lack the adaptability required to keep pace with rapidly shifting phishing tactics. In this paper, we propose a novel fuzzy-calibrated transformer network for phishing URL detection. This model integrates a transformer network with the expert knowledge offered by fuzzy logic, enhancing its ability to interpret and adapt to the complex patterns of phishing URLs. This integration addresses the limitations of previous models, particularly their dependence on historical data, which is often outdated as phishing strategies evolve. Empirical evaluations of the proposed model on real-world datasets, which include over a million URLs, demonstrate its superior accuracy and adaptability in detecting phishing URLs, particularly in identifying novel and emerging phishing tactics. In experiments simulating real-world phishing detection scenarios, our model achieves an accuracy of 98.93 %, with a precision of 98.54 %, recall of 97.84 %, and F1-score of 98.03 %, outperforming baseline models by 5 %p in accuracy, highlighing adaptability to evolving phishing strategies.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109474"},"PeriodicalIF":3.2,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144177830","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

Uniform structure and topological group properties of non-additive measure algebras 非可加测度代数的一致结构和拓扑群性质

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-16 DOI: 10.1016/j.fss.2025.109461

Aoi Honda , Ryoji Fukuda , Yoshiaki Okazaki

{"title":"Uniform structure and topological group properties of non-additive measure algebras","authors":"Aoi Honda , Ryoji Fukuda , Yoshiaki Okazaki","doi":"10.1016/j.fss.2025.109461","DOIUrl":"10.1016/j.fss.2025.109461","url":null,"abstract":"<div><div>This paper introduces a novel framework for analyzing the uniform structure and topological group properties of measurable spaces with non-additive measures. Unlike traditional approaches that rely on additivity, new concepts, uniformness, <em>K</em>-uniformness, and infra <em>K</em>-uniformness, are defined to establish a pseudo-metric and a topological group structure for non-additive measure algebras. The results demonstrate that these new uniformity conditions allow for a more general treatment of non-additive measures, bridging the gap between classical measure theory and fuzzy measure spaces, focusing on a quasi-monotone measure <em>μ</em> defined on an algebra <span><math><mi>A</mi><mo>⊂</mo><mi>P</mi><mo>(</mo><mi>X</mi><mo>)</mo></math></span>. The space <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>μ</mi><mo>)</mo></math></span> is an abelian group under the symmetric difference operation. We define the concepts of uniformness, <em>K</em>-uniformness, and infra <em>K</em>-uniformness for <em>μ</em>, establishing conditions under which <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>μ</mi><mo>)</mo></math></span> becomes a topological group. By constructing a uniform structure and a pseudo-metric on <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>μ</mi><mo>)</mo></math></span>, we demonstrate that if <em>μ</em> is <em>K</em>-uniform, it relates closely to subadditive measures through power transformations.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109461"},"PeriodicalIF":3.2,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144088986","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