Fuzzy Sets and Systems最新文献

Choquet-Wasserstein pseudo-distances via optimal transport under partially specified marginal probabilities 在部分指定的边际概率下通过最优输运的Choquet-Wasserstein伪距离

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-25 DOI: 10.1016/j.fss.2025.109429

Silvia Lorenzini , Davide Petturiti , Barbara Vantaggi

{"title":"Choquet-Wasserstein pseudo-distances via optimal transport under partially specified marginal probabilities","authors":"Silvia Lorenzini , Davide Petturiti , Barbara Vantaggi","doi":"10.1016/j.fss.2025.109429","DOIUrl":"10.1016/j.fss.2025.109429","url":null,"abstract":"<div><div>We focus on the marginal problem by relaxing the requirement of completely specified marginal probabilities, and referring to Dempster-Shafer theory to encode such partial probabilistic information. We investigate the structure of a suitable set of bivariate joint belief functions having fixed marginals by relying on copula theory. The chosen set of joint belief functions is used to minimize a functional of a given cost function, so as to select an optimal imprecise transport plan in the form of a joint belief function. We formulate two Kantorovich-like optimal transport problems by seeking to minimize the Choquet integral of the cost function with respect to either the reference set of joint belief functions or their dual plausibility functions. We give a noticeable application by choosing a metric as cost function: this permits to define pessimistic and optimistic Choquet-Wasserstein pseudo-distances, that can be used to compare belief functions on the same space. We finally deal with the problem of approximating a belief function with an element of a distinguished class of belief functions, by minimizing one of the two Choquet-Wasserstein pseudo-distances.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"515 ","pages":"Article 109429"},"PeriodicalIF":3.2,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882105","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 law of importation and the preference implication operator 论进口法律与优惠暗示经营者

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-24 DOI: 10.1016/j.fss.2025.109428

József Dombi , Tamás Jónás , Michał Baczyński

引用次数: 0

Multimodal multimedia information retrieval through the integration of fuzzy clustering, OWA-based fusion, and Siamese neural networks 基于模糊聚类、owa融合和Siamese神经网络的多模态多媒体信息检索

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-18 DOI: 10.1016/j.fss.2025.109419

Saeid Sattari , Sinan Kalkan , Adnan Yazici

{"title":"Multimodal multimedia information retrieval through the integration of fuzzy clustering, OWA-based fusion, and Siamese neural networks","authors":"Saeid Sattari , Sinan Kalkan , Adnan Yazici","doi":"10.1016/j.fss.2025.109419","DOIUrl":"10.1016/j.fss.2025.109419","url":null,"abstract":"<div><div>This paper presents an end-to-end, scalable, and flexible framework for multimodal multimedia information retrieval (MMIR). This framework is designed to handle multiple data modalities, such as visual, audio, and text, frequently encountered in real-world applications. By integrating these different data types, this framework facilitates a more holistic understanding of information, thus improving the accuracy and reliability of retrieval tasks. One of the strengths of this framework is its ability to learn semantic relationships within and between modalities through advanced deep neural networks. These networks are trained on query-hit pairs generated from query logs. A major innovation of this approach lies in the efficient handling of multimodal data uncertainty through an improved fuzzy clustering technique. Additionally, the search process is refined through the use of triplet-loss Siamese networks for sophisticated reranking, as well as a novel fusion approach using the ordered weighted average (OWA) operator to combine the ranks of different retrieval systems. This framework leverages parallel processing and transfer learning for efficient feature extraction across different modalities, thus significantly improving scalability and adaptability. Performance has been rigorously evaluated through comprehensive testing on six widely recognized multimodal datasets. The results indicate that this integrated approach, which combines clustering ranking, triplet loss Siamese network for reranking, OWA-based fusion, and the alternative adaptive fuzzy means method (AAFCM) for soft clustering, consistently outperforms all previous configurations reported in the literature. Our experimental results, supported by extensive statistical analysis, confirm the effectiveness and robustness of this approach in MMIR.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"515 ","pages":"Article 109419"},"PeriodicalIF":3.2,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869227","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 scale selection of dynamic incomplete generalized multi-scale fuzzy ordered decision systems based on rough fuzzy sets 基于粗糙模糊集的动态不完全广义多尺度模糊有序决策系统的最优尺度选择

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-16 DOI: 10.1016/j.fss.2025.109420

Tianyu Wang, Bin Yang

{"title":"Optimal scale selection of dynamic incomplete generalized multi-scale fuzzy ordered decision systems based on rough fuzzy sets","authors":"Tianyu Wang, Bin Yang","doi":"10.1016/j.fss.2025.109420","DOIUrl":"10.1016/j.fss.2025.109420","url":null,"abstract":"<div><div>As a specialized form of decision systems, multi-scale decision systems play a crucial role in practical applications. The task of optimal scale selection for multi-scale decision systems is an important issue in the field of granular computing research, especially when data are dynamically updated. However, analyzing multi-scale fuzzy ordered information with dominance-based rough fuzzy sets poses significant challenges, particularly when handling incomplete data, which is prevalent in real-world scenarios. Meanwhile, multi-granulation rough fuzzy sets are an effective extension of rough set that describes a target concept from multiple perspectives. To address these challenges and explore multi-scale decision systems based on multi-granulation rough sets, this paper proposes a novel framework that integrates dominance-based rough fuzzy sets and multi-granulation rough sets into the analysis of dynamic incomplete multi-scale fuzzy ordered information. Firstly, we introduce an incomplete generalized multi-scale fuzzy ordered decision system, defining granular information transformation functions as monotonically increasing functions. By employing an expanded dominance relation, we analyze the changes in dominating and dominated classes across different scales and propose two types of optimal scale combinations (OSCs) along with an algorithm to identify them. Secondly, we extend the model by incorporating dominance-based multi-granulation rough fuzzy sets, and introduce four additional OSC concepts to enhance the analysis from a multi-granulation perspective. Furthermore, to handle dynamic data environments, we investigate the impact of adding new objects on six types of OSCs and design algorithms to update them efficiently. Numerical experiments demonstrate the effectiveness and practical applicability of the proposed framework, highlighting its potential to address complex decision-making problems involving incomplete and multi-scale fuzzy ordered information.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"515 ","pages":"Article 109420"},"PeriodicalIF":3.2,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143855397","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 quasivariety of sub-Hilbert algebras 关于次希尔伯特代数的拟变分

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-16 DOI: 10.1016/j.fss.2025.109418

Hernán Javier San Martín

引用次数: 0

Best weighted L∞ approximate preinverses of fuzzy matrices with max-min composition 具有最大-最小构成的模糊矩阵的最佳加权 L∞ 近似前推

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-15 DOI: 10.1016/j.fss.2025.109417

Yan-Kuen Wu , Ching-Feng Wen , Zhaowen Li , Hsun-Chih Kuo

引用次数: 0

Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex interval-valued vector optimization problems 广义hukuhara次可微预逆区间值向量优化问题的最优性条件和对偶性结果

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-15 DOI: 10.1016/j.fss.2025.109416

Zai-Yun Peng , Jian-Yi Peng , Debdas Ghosh , Yong Zhao , Dan Li

引用次数: 0

Adaptive memory-event-triggered-based double asynchronous fuzzy control for nonlinear semi-Markov jump systems 非线性半马尔可夫跳变系统的自适应记忆事件触发双异步模糊控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-14 DOI: 10.1016/j.fss.2025.109405

Yanmin Wu , Wei Qian

{"title":"Adaptive memory-event-triggered-based double asynchronous fuzzy control for nonlinear semi-Markov jump systems","authors":"Yanmin Wu , Wei Qian","doi":"10.1016/j.fss.2025.109405","DOIUrl":"10.1016/j.fss.2025.109405","url":null,"abstract":"<div><div>This article is concerned with the double asynchronous fuzzy control scheme for networked nonlinear semi-Markov jump systems with uncertainties. With the help of interval type-2 Takagi-Sugeno fuzzy technique, nonlinear semi-Markov jump systems are described. To reduce the transmission of dispensable packets, an adaptive memory-event-triggered mechanism, which constructs a new adaptive update rule taking historical data, is proposed for further optimizing communication efficiency. Considering the premise variables asynchronous phenomenon and the model asynchronous problem, the asynchronous premise reconstruction strategy as well as the hidden semi-Markov model are employed simultaneously, for effectively copying with the double asynchronous issue. Then, a double asynchronous memory controller is devised in light of adaptive event-triggered mechanism to ensure that the closed-loop systems can obtain better system control performance by the means of utilizing less data. Eventually, some simulation results are presented for the sake of demonstrating the practicability and superiority of the investigated control technique.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109405"},"PeriodicalIF":3.2,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834886","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

Finite-time bounded asynchronous sliding-mode control for T-S fuzzy time-delay systems via event-triggered scheme 通过事件触发方案实现 T-S 模糊时延系统的有限时间有界异步滑模控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-11 DOI: 10.1016/j.fss.2025.109400

Guiling Li , Chen Peng , Zhiru Cao

引用次数: 0

Finite-time event-triggered prescribed control for stochastic systems with dead-zone 具有死区随机系统的有限时间事件触发预定控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-04-10 DOI: 10.1016/j.fss.2025.109406

Jiafeng Li , Hao Yan , Ruihang Ji , Xiaoling Liang , Shuzhi Sam Ge

引用次数: 0