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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-18 DOI: 10.1016/j.fss.2025.109419
Saeid Sattari , Sinan Kalkan , Adnan Yazici
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.
提出了一个端到端的、可扩展的、灵活的多模态多媒体信息检索框架。该框架旨在处理在实际应用程序中经常遇到的多种数据模式,如视觉、音频和文本。通过集成这些不同的数据类型,该框架有助于更全面地理解信息,从而提高检索任务的准确性和可靠性。该框架的优势之一是它能够通过高级深度神经网络学习模态内部和模态之间的语义关系。这些网络是根据查询日志生成的查询命中对进行训练的。该方法的一个主要创新在于通过改进的模糊聚类技术有效地处理多模态数据的不确定性。此外,通过使用三重损失Siamese网络进行复杂的重新排序,以及使用有序加权平均(OWA)算子组合不同检索系统的秩的新颖融合方法,改进了搜索过程。该框架利用并行处理和迁移学习在不同模式下进行有效的特征提取,从而显著提高了可扩展性和适应性。通过对六个广泛认可的多模态数据集的全面测试,对性能进行了严格的评估。结果表明,该方法结合了聚类排序、用于重新排序的三重损失Siamese网络、基于owa的融合和用于软聚类的替代自适应模糊均值方法(AAFCM),始终优于文献中报道的所有先前配置。我们的实验结果得到了广泛的统计分析的支持,证实了该方法在MMIR中的有效性和稳健性。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-16 DOI: 10.1016/j.fss.2025.109420
Tianyu Wang, Bin Yang
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.
作为决策系统的一种特殊形式,多尺度决策系统在实际应用中发挥着至关重要的作用。多尺度决策系统的最优尺度选择任务是粒度计算研究领域的一个重要问题,尤其是在数据动态更新的情况下。然而,利用基于支配性的粗糙模糊集分析多尺度模糊有序信息面临着巨大挑战,尤其是在处理不完整数据时,而这在现实世界中非常普遍。同时,多粒度粗糙模糊集是从多角度描述目标概念的粗糙集的有效扩展。为了应对这些挑战,探索基于多粒度粗糙集的多尺度决策系统,本文提出了一个新颖的框架,将基于支配的粗糙模糊集和多粒度粗糙集整合到动态不完整多尺度模糊有序信息的分析中。首先,我们引入了一个不完全广义多尺度模糊有序决策系统,将粒度信息变换函数定义为单调递增函数。通过使用扩展的支配关系,我们分析了支配类和被支配类在不同尺度上的变化,并提出了两类最优尺度组合(OSC)以及识别它们的算法。其次,我们扩展了该模型,纳入了基于支配关系的多粒度粗糙模糊集,并引入了四个额外的 OSC 概念,从多粒度角度加强了分析。此外,为了处理动态数据环境,我们研究了添加新对象对六类 OSC 的影响,并设计了有效更新它们的算法。数值实验证明了所提框架的有效性和实际适用性,突出了其解决涉及不完整和多尺度模糊有序信息的复杂决策问题的潜力。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-16 DOI: 10.1016/j.fss.2025.109418
Hernán Javier San Martín
It is known that sub-Hilbert algebras are the implicative subreducts of subresiduated lattices. In this paper we give a new proof of this result by using some ideas employed to the study of the implicative-infimum subreducts of weak Heyting algebras. We also introduce open implicative filters in order to study the lattice of relative congruences of sub-Hilbert algebras. In particular, we introduce and study irreducible open implicative filters and we use this kind of open implicative filters in order to study the quasivariety of sub-Hilbert algebras generated by the class of its totally ordered members. Finally, we study a quasivariety which properly contains the variety of order Hilbert algebras.
众所周知,亚希尔伯特代数是亚残差格的蕴涵子归结。在本文中,我们利用研究弱海尔丁代数的蕴含-最小子归结的一些思想,对这一结果给出了新的证明。我们还引入了开放蕴涵滤波器,以研究子希尔伯特代数的相对同调晶格。特别是,我们引入并研究了不可还原的开放蕴涵滤波器,并利用这类开放蕴涵滤波器来研究由其完全有序成员类生成的子希尔伯特代数的准变量。最后,我们研究了一个适当包含阶希尔伯特数的类。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-15 DOI: 10.1016/j.fss.2025.109417
Yan-Kuen Wu , Ching-Feng Wen , Zhaowen Li , Hsun-Chih Kuo
An efficient solution procedure for the preinverse (or postinverse) of a fuzzy matrix is useful for solving the well known problems of fuzzy abductive/backward reasoning. Wen, Wu and Li (2023) have presented algebraic formulas for various approximate preinverses of fuzzy matrices using the weighted L1 norm. In this study, a novel approach is proposed to derive the best approximate preinverses of fuzzy matrices, in the sense that the weighted L norm of residual error is minimized. The proposed approach requires only simple arithmetic operations, it is possible to perform real-time abductive reasoning in many reasoning systems such as intelligent diagnosis.
模糊矩阵前逆(或后逆)的高效求解程序有助于解决众所周知的模糊归纳/反向推理问题。Wen、Wu 和 Li (2023) 利用加权 L1 准则提出了各种模糊矩阵近似前逆的代数公式。在本研究中,提出了一种新方法来推导模糊矩阵的最佳近似前推,即加权 L∞ 准则的残差误差最小。所提出的方法只需要简单的算术运算,就可以在智能诊断等许多推理系统中进行实时归纳推理。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-15 DOI: 10.1016/j.fss.2025.109416
Zai-Yun Peng , Jian-Yi Peng , Debdas Ghosh , Yong Zhao , Dan Li
This study investigates a class of preinvex vector interval optimization problems (VIOP) involving gH-subdifferentiable functions and derives both optimality conditions and duality results. At first, a definition of subgradient for preinvex interval-valued function under gH-difference is given; examples are provided to verify the difference between the subgradient in this paper and the existing ones. Next, by means of gH-subdifferential, the Karush-Kuhn-Tucker sufficient and necessary optimality conditions for preinvex VIOP are studied. Then, the Mond-Weir and Wolfe duality results for VIOP with preinvex functions are established. Weak duality, strong duality, and converse duality theorems are reported by using the proposed gH-subdifferential. Some examples are given to illustrate the main results. To some extent, the main results generalize the existing relevant results.
研究了一类涉及h -次可微函数的预倒向量区间优化问题,并导出了最优性条件和对偶性结果。首先给出了h -差分下预逆区间值函数的次梯度的定义;通过算例验证了本文所提出的亚梯度与已有的亚梯度的区别。其次,利用h-次微分,研究了预渐近VIOP的Karush-Kuhn-Tucker充要条件。然后,建立了具有预逆函数的VIOP的Mond-Weir和Wolfe对偶性结果。利用所提出的h -子微分,给出了弱对偶、强对偶和逆对偶定理。给出了一些例子来说明主要结果。主要结果在一定程度上概括了已有的相关结果。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-14 DOI: 10.1016/j.fss.2025.109405
Yanmin Wu , Wei Qian
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.
研究了具有不确定性的网络非线性半马尔可夫跳变系统的双异步模糊控制方案。利用区间2型Takagi-Sugeno模糊技术,描述了非线性半马尔可夫跳变系统。为了减少不必要数据包的传输,提出了一种自适应内存事件触发机制,该机制构造了一种新的基于历史数据的自适应更新规则,进一步优化通信效率。考虑到前提变量异步现象和模型异步问题,同时采用异步前提重构策略和隐半马尔可夫模型,对双异步问题进行有效复制。然后,根据自适应事件触发机制设计了双异步存储器控制器,以保证闭环系统以较少的数据量获得较好的系统控制性能。最后给出了一些仿真结果,以证明所研究控制技术的实用性和优越性。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-11 DOI: 10.1016/j.fss.2025.109400
Guiling Li , Chen Peng , Zhiru Cao
This paper investigates the finite-time bounded sliding mode control problem of networked T-S fuzzy time-delay systems by utilizing the event-triggered scheme. The input matrices in the networked control systems under consideration are different. First, based on the designed integral sliding mode function, a novel finite-time asynchronous fuzzy sliding mode controller is constructed for T-S fuzzy time-delay systems (TSFTDSs) to realize the reachability of the sliding mode manifold within a specified finite time. Second, by using the asynchronous premise reconstruction approach, new unified networked closed-loop systems with the matched uncertainty and external disturbance are presented. Third, different from the asymptotic stability discussed in other articles, the finite-time boundedness of the state trajectories in the closed-loop systems throughout the entire motion process can be guaranteed and the controller gains are obtained. Finally, the superiority and effectiveness of the derived results are verified through two simulation examples.
本文利用事件触发方案研究了网络化 T-S 模糊时延系统的有限时间有界滑模控制问题。所考虑的网络控制系统的输入矩阵各不相同。首先,基于所设计的积分滑模函数,为 T-S 模糊时延系统(TSFTDS)构建了一种新型的有限时间异步模糊滑模控制器,以实现在指定的有限时间内达到滑模流形的可及性。其次,利用异步前提重构方法,提出了具有匹配不确定性和外部扰动的新型统一网络闭环系统。第三,与其他文章讨论的渐近稳定性不同,闭环系统在整个运动过程中的状态轨迹的有限时间有界性可以得到保证,并得到控制器增益。最后,通过两个仿真实例验证了推导结果的优越性和有效性。
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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 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-10 DOI: 10.1016/j.fss.2025.109406
Jiafeng Li , Hao Yan , Ruihang Ji , Xiaoling Liang , Shuzhi Sam Ge
This paper addresses the problem of finite-time event-triggered prescribed performance control for stochastic systems with unknown dead-zone effects. A fuzzy state observer is developed to estimate unknown states, while fuzzy logic systems are used to approximate the nonlinear dynamics. To construct the prescribed performance controller, dynamic surface control technology is integrated to overcome the computational explosion problem associated with backstepping control, thereby reducing computational complexity. The proposed control method ensures bounded closed-loop system states and confines the tracking error within a small neighborhood of the equilibrium point in finite time, even with unknown input dead-zone. Finally, the effectiveness of the proposed method is demonstrated by simulations.
研究了具有未知死区效应的随机系统的有限时间事件触发预定性能控制问题。采用模糊状态观测器估计未知状态,采用模糊逻辑系统逼近非线性动力学。为了构造规定性能的控制器,结合动态曲面控制技术,克服了反演控制的计算爆炸问题,降低了计算复杂度。该控制方法保证了系统的有界闭环状态,并在有限时间内将跟踪误差限制在平衡点的小邻域内,即使输入死区未知。最后,通过仿真验证了该方法的有效性。
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引用次数: 0
A fresh look at the category of ⊤-convergence groups 对收敛群范畴的新认识
IF 3.2 1区 数学 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-09 DOI: 10.1016/j.fss.2025.109413
Lingqiang Li, Qiu Jin
⊤-convergence groups is a natural extension of lattice-valued topological groups, which is a newly introduced mathematical structure. In this paper, we will further explore the theory of ⊤-convergence groups. The main results include: (1) It possesses a novel characterization through the ⊙-product of ⊤-filters, and it is localizable, meaning that each ⊤-convergence group is uniquely determined by the convergence at the identity element of the underlying group. (2) The definition of its subcategory, the topological ⊤-convergence groups, can be simplified by removing the topological condition (TT). (3) It exhibits uniformization, which means that each ⊤-convergence group can be reconstructed from a ⊤-uniformly convergent space. (4) There exists a natural group structure and ⊤-convergence structure on the function space, which makes it a ⊤-convergence group.
⊤-Ȥ收敛群是格值拓扑群的自然扩展,是一种新引入的数学结构。本文将进一步探讨Ȥ收敛群的理论。主要结果包括(1) 通过Ȥ滤波的⊙积,它拥有一个新颖的表征,而且它是可局部化的,即每个Ȥ收敛群都是由底层群的标识元处的收敛唯一决定的。(2)它的子类--拓扑Ȥ收敛群的定义可以通过去掉拓扑条件(TT)来简化。(3) 它具有均匀性,即每个Ȥ收敛群都可以从一个Ȥ均匀收敛空间重构出来。(4)函数空间上存在自然群结构和Ȥ收敛结构,这使得它成为一个Ȥ收敛群。
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引用次数: 0
Hoops and domains 箍和域
IF 3.2 1区 数学 Q2 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-04-08 DOI: 10.1016/j.fss.2025.109404
Anatolij Dvurečenskij , Omid Zahiri
The relationship between MV-algebras and Bézout domains was first explored in [31], [29], [30]. In this paper, we build upon those studies to extend the results to Wajsberg hoops. We begin by examining Wajsberg hoops as (weak) filters of MV-algebras. We establish a representation for every Wajsberg hoop as a subdirect product of a cancellative hoop and a boundedly representable Wajsberg hoop. These results demonstrate that every Wajsberg hoop can be associated with a specific subset of a Bézout domain R, i.e., a saturated multiplicative system of R with a special property. Furthermore, we characterize Bézout domains corresponding to cancellative hoops and linear Wajsberg hoops.
在[31],[29],[30]中首次发现了mv -代数与b zout结构域的关系。在本文中,我们以这些研究为基础,将结果扩展到Wajsberg箍。我们首先检查Wajsberg箍作为mv -代数的(弱)过滤器。我们建立了每个Wajsberg箍的表示,作为一个消去环和一个有界可表示的Wajsberg箍的子积。这些结果证明了每个Wajsberg环都可以与bsamzout域R的一个特定子集相关联,即一个具有特殊性质的R的饱和乘法系统。此外,我们还描述了对应于消环和线性Wajsberg环的b zout域。
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引用次数: 0
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Fuzzy Sets and Systems
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