Fuzzy Sets and Systems最新文献_第6页

θg - fuzzy graphs and transitivity: Optimizing data transmission in interconnection networks θg -模糊图与传递性：优化互联网络中的数据传输

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-05 DOI: 10.1016/j.fss.2025.109549

Aswathi Prabhath , Sunil Mathew , J.N. Mordeson

{"title":"θg - fuzzy graphs and transitivity: Optimizing data transmission in interconnection networks","authors":"Aswathi Prabhath , Sunil Mathew , J.N. Mordeson","doi":"10.1016/j.fss.2025.109549","DOIUrl":"10.1016/j.fss.2025.109549","url":null,"abstract":"<div><div>An optimal flow of data is essential for interconnection networks in order to ensure effective communication within the network. Hence, it is important to consider fuzzy graph structures representing networks which minimizes disruption of the flow and consequent failure of the network. This article discusses <span><math><msup><mrow><mi>θ</mi></mrow><mrow><mi>g</mi></mrow></msup></math></span> - fuzzy graphs, a special category of fuzzy graphs having the properties mentioned above. Apart from a characterization for <span><math><msup><mrow><mi>θ</mi></mrow><mrow><mi>g</mi></mrow></msup></math></span> - fuzzy graphs, this paper discusses a new kind of transitivity, called <span><math><msup><mrow><mi>θ</mi></mrow><mrow><mi>g</mi></mrow></msup></math></span> - transitivity, using the generalized cycle connectivity between a pair of vertices within the structure. Generalized cycle connectivity of certain fuzzy graph structures like fuzzy blocks and line graphs is also obtained. An application of <span><math><msup><mrow><mi>θ</mi></mrow><mrow><mi>g</mi></mrow></msup></math></span> - fuzzy graphs in network theory is also proposed in the paper.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"520 ","pages":"Article 109549"},"PeriodicalIF":2.7,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780244","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

On the convergence of measurable functions: Solutions to two open problems 关于可测函数的收敛性：两个开放问题的解

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-08-05 DOI: 10.1016/j.fss.2025.109552

Do Huy Hoang , Tran Nhat Luan

引用次数: 0

Fuzzy rough feature selection via stripped decision β-neighborhood set and misclassification ratio 基于剥离决策β-邻域集和误分类率的模糊粗糙特征选择

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-30 DOI: 10.1016/j.fss.2025.109544

Xiongtao Zou , Jianhua Dai

{"title":"Fuzzy rough feature selection via stripped decision β-neighborhood set and misclassification ratio","authors":"Xiongtao Zou , Jianhua Dai","doi":"10.1016/j.fss.2025.109544","DOIUrl":"10.1016/j.fss.2025.109544","url":null,"abstract":"<div><div>Fuzzy <em>β</em>-covering is a type of granular structure for knowledge representation that has been widely used for machine learning and data mining in recent years. In evaluations of the reduction and redundancy of fuzzy <em>β</em>-coverings, most of the existing methods generate a new fuzzy <em>β</em>-covering for describing the similarity between objects to select important fuzzy <em>β</em>-coverings. However, not all fuzzy <em>β</em>-neighborhoods in the generated fuzzy <em>β</em>-covering are necessary for further determining important fuzzy <em>β</em>-coverings. Therefore, in this study, we propose the concept of a stripped decision <em>β</em>-neighborhood set, and present a fuzzy <em>β</em>-covering reduction approach based on the misclassification ratio for feature subset selection. Inspired by the lower approximation operator of rough sets, the concept of a stripped decision <em>β</em>-neighborhood set is first proposed to remove some unnecessary <em>β</em>-neighborhoods for further determining important fuzzy <em>β</em>-coverings. Moreover, the connection between the stripped decision <em>β</em>-neighborhood set and positive region is discussed in a fuzzy <em>β</em>-covering group decision system. The misclassification ratio for fuzzy <em>β</em>-coverings is then defined on this basis. An accurate feature selection method is presented based on the knowledge represented by fuzzy <em>β</em>-coverings and fuzzy <em>β</em>-covering reduction by using the misclassification ratio. Finally, the experimental results demonstrated the effectiveness of our method compared with several other excellent feature selection methods under four classical classifiers.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"520 ","pages":"Article 109544"},"PeriodicalIF":2.7,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144770817","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 class of associative aggregation functions 一类关联聚合函数

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-29 DOI: 10.1016/j.fss.2025.109545

Lingli Wang , Wenwen Zong , Yong Su , Radko Mesiar

引用次数: 0

Terms that define nuclei on residuated lattices: A case study of BL-algebras 在剩余格上定义核的术语：bl -代数的一个案例研究

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-25 DOI: 10.1016/j.fss.2025.109542

Sebastián Buss , Diego Castaño , José Patricio Díaz Varela

引用次数: 0

Logical distance-based fuzzy rough set model and its application in feature selection 基于逻辑距离的模糊粗糙集模型及其在特征选择中的应用

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-25 DOI: 10.1016/j.fss.2025.109543

Wenchang Yu , Wei Yao

{"title":"Logical distance-based fuzzy rough set model and its application in feature selection","authors":"Wenchang Yu , Wei Yao","doi":"10.1016/j.fss.2025.109543","DOIUrl":"10.1016/j.fss.2025.109543","url":null,"abstract":"<div><div>Fuzzy rough set models based on binary similarity relations and their applications in feature selection have been explored extensively. However, distance-based relations, a natural type of binary relations, are seldom directly applied in fuzzy rough set models, and let alone in feature selection algorithms. Additionally, the existing feature selection algorithms based on fuzzy rough set theory frequently encounter challenges such as the inflexibility of selection rate adjustment, the associated high computational costs, etc. To counter these issues, we introduce a concept of logical distance functions and use it to establish a kind of fuzzy rough set models. We analyze the uncertainty of decision tables using related fuzzy rough approximation operators. Then we propose a novel uncertainty index based on the difference between the distance of decision attributes and that of condition attributes. Building upon this foundation, we design a forward greedy feature selection algorithm based on this uncertainty index. Compared to existing state-of-the-art feature selection algorithms, experimental results validate the effectiveness and efficiency of our approach, particularly demonstrating superior efficiency.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109543"},"PeriodicalIF":2.7,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144721253","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

Asynchronously intermittent sampled-data decentralized control for stability of fuzzy coupled systems with jump diffusions 跃变扩散模糊耦合系统稳定性的异步间歇采样数据分散控制

IF 2.7 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-24 DOI: 10.1016/j.fss.2025.109540

Yan Liu , Ning Li , Hui Zhou

{"title":"Asynchronously intermittent sampled-data decentralized control for stability of fuzzy coupled systems with jump diffusions","authors":"Yan Liu , Ning Li , Hui Zhou","doi":"10.1016/j.fss.2025.109540","DOIUrl":"10.1016/j.fss.2025.109540","url":null,"abstract":"<div><div>This paper proposes a novel asynchronous control technique, namely asynchronously intermittent sampled-data decentralized control (AISDC), to address the stability issue of fuzzy stochastic coupled systems (FSCSs) with regime-switching jump diffusions (RSJD). Unlike the traditional intermittent control strategy, AISDC incorporates sampled-data control to regulate the control intensity after selecting discrete sampling node observations in the controller's work interval, which reduces the frequency of updating the controller's output control intensity and subsequently saves energy consumption. Moreover, compared to synchronous control, AISDC is more flexible as an asynchronous control that eliminates the strict time synchronization requirement between systems and thus can better adapt to the network heterogeneity. In addition, fuzzy factors and RSJD are considered in stochastic coupled systems, which enhance the generality of systems. Then, based on graph theory and Lyapunov method, theoretical results are presented to ensure the stability of FSCSs with RSJD. In particular, we successfully utilize AISDC to study the stability problem of fuzzy stochastic coupled oscillators and some sufficient conditions are given. Finally, two numerical examples are provided to demonstrate the effectiveness and practicability of the main results.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109540"},"PeriodicalIF":2.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144721254","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 representation of symmetric Wajsberg pseudo hoops 对称Wajsberg伪环的表示

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-22 DOI: 10.1016/j.fss.2025.109541

Anatolij Dvurečenskij , Omid Zahiri

{"title":"A representation of symmetric Wajsberg pseudo hoops","authors":"Anatolij Dvurečenskij , Omid Zahiri","doi":"10.1016/j.fss.2025.109541","DOIUrl":"10.1016/j.fss.2025.109541","url":null,"abstract":"<div><div>This paper explores Wajsberg pseudo hoops derived from filters of bounded Wajsberg pseudo hoops, also known as pseudo MV-algebras. Extending the known result from <span><span>[1]</span></span> that every Wajsberg hoop is a maximal filter of an MV-algebra, we introduce symmetric Wajsberg pseudo hoops as a variety encompassing Wajsberg hoops. We demonstrate that every normal filter of a bounded Wajsberg pseudo hoop is an ultrafilter of an appropriate bounded Wajsberg pseudo hoop. Introducing a new binary operation ⊛ on Wajsberg pseudo hoops, we focus on symmetric Wajsberg pseudo hoops. We establish that each such hoop <strong>H</strong> is isomorphic to the pseudo hoop induced by a filter of a Wajsberg pseudo hoop <span><math><mi>A</mi><mo>(</mo><mi>H</mi><mo>)</mo></math></span>, with <span><math><mi>A</mi><mo>(</mo><mi>H</mi><mo>)</mo></math></span> unique up to isomorphism. By analyzing the relationship between normal prime (maximal) filters of <strong>H</strong> and <span><math><mi>A</mi><mo>(</mo><mi>H</mi><mo>)</mo></math></span>, we establish a necessary and sufficient condition for their representability, deepening the understanding of the structural properties of these algebraic systems.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109541"},"PeriodicalIF":3.2,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685631","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

Improved cubic negative determination for T-S fuzzy system with time-varying delay 时变时滞T-S模糊系统的改进三次负确定

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-17 DOI: 10.1016/j.fss.2025.109539

Han Xue, Yuanyuan Zhang, Xinzuo Ma, Seakweng Vong

引用次数: 0

Approximate state reduction of fuzzy finite automata 模糊有限自动机的近似状态约简

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-07-11 DOI: 10.1016/j.fss.2025.109535

Stefan Stanimirović , Linh Anh Nguyen , Miroslav Ćirić , Marko Stanković

{"title":"Approximate state reduction of fuzzy finite automata","authors":"Stefan Stanimirović , Linh Anh Nguyen , Miroslav Ćirić , Marko Stanković","doi":"10.1016/j.fss.2025.109535","DOIUrl":"10.1016/j.fss.2025.109535","url":null,"abstract":"<div><div>State reduction of fuzzy automata aims to efficiently construct a suitably small fuzzy automaton equivalent to a given one. It is a significant and well-studied problem in automata theory due to its practical applications in various fields. If we relax the requirement for exact equivalence, then we talk about the approximate state reduction problem, which has gained attention only recently. There are two approaches to approximate state reduction: one seeks approximate equivalence to a specified threshold, while the other aims for exact equivalence for length-bounded words. These two approaches have been considered separately. In this paper, we demonstrate that both approaches, and even their combination, can be achieved by merging indistinguishable states of a fuzzy automaton through the use of sequences of fuzzy relations that we introduce in this paper. We provide characterizations of these sequences, and show that they are closely related to certain approximate simulations for fuzzy automata that emerged in the recent literature. However, their subtle differences significantly affect the process of approximate state reduction. By formally proving this distinction, we generalize some well-known results and offer new insight into approximate state reduction. We discuss how all forms of approximate state reduction can be realized and provide algorithms for calculating the proposed sequences and performing the reductions, along with illustrative examples.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109535"},"PeriodicalIF":3.2,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144632855","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