Fuzzy Sets and Systems最新文献

英文中文

Incremental learning and granular computing from evolving data streams: An application to speech-based bipolar disorder diagnosis 从不断变化的数据流中进行增量学习和粒度计算：基于语音的躁郁症诊断应用

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-19 DOI: 10.1016/j.fss.2024.109205

Daniel Leite , Gabriella Casalino , Katarzyna Kaczmarek-Majer , Giovanna Castellano

We apply an evolving granular-computing modeling approach, called evolving Optimal Granular System (eOGS), to bipolar mood disorder (BD) diagnosis based on speech data streams. The eOGS online learning algorithm reveals information granules in the flow and design the structure and parameters of a granular rule-based model with a certain degree of interpretability based on acoustic attributes obtained from phone calls made over 7 months to the Psychiatry department of a hospital. A multi-objective programming problem that trades-off information specificity, model compactness, and numerical and granular error indices is presented. Spectral and prosodic attributes are ranked and selected based on a hybrid Pearson-Spearman correlation coefficient. Low attribute-class correlation, ranging from 0.03 to 0.07, is observed, as well as high class overlap, which is typical in the psychiatric field. eOGS models for BD recognition overcome alternative computational-intelligence models, namely, Dynamic Evolving Neural-Fuzzy Inference System (DENFIS) and Fuzzy-set-Based evolving Modeling (FBeM-Gauss), by a small margin in both best and average cases; followed by eXtended Takagi-Sugeno (xTS) and evolving Takagi Sugeno (eTS) types of models. The proposed eOGS model using only 8 of the original acoustic attributes, and about 15 ‘If-Then’ inference rules, has exhibited the best root mean square error, 0.1361, and 91.8% accuracy in sharp BD class estimates. Granules associated to linguistic labels and a granular input-output map offer human understandability with relation to the inherent process of generating class estimates. Linguistically readable eOGS rules may assist physicians in explaining symptoms and making a diagnosis.

我们将一种名为 "进化最优粒度系统（eOGS）"的进化粒度计算建模方法应用于基于语音数据流的躁郁症（BD）诊断。eOGS 在线学习算法能揭示数据流中的信息颗粒，并根据医院精神科 7 个月来电话中的声音属性，设计出具有一定可解释性的颗粒规则模型的结构和参数。本文提出了一个多目标编程问题，在信息特异性、模型紧凑性以及数值和颗粒误差指数之间进行权衡。根据混合 Pearson-Spearman 相关系数对频谱和前音属性进行排序和选择。结果表明，属性-类别相关性较低，从 0.03 到 0.07 不等，而类别重叠率较高，这在精神病学领域是很典型的。用于 BD 识别的 eOGS 模型在最佳和平均情况下都以微弱优势战胜了其他计算智能模型，即动态演化神经-模糊推理系统（DENFIS）和基于模糊集的演化建模（FBeM-Gauss）；其次是 eXtended Takagi-Sugeno 模型（xTS）和演化 Takagi Sugeno 模型（eTS）。拟议的 eOGS 模型仅使用了 8 个原始声学属性和约 15 条 "If-Then "推理规则，表现出最佳均方根误差（0.1361）和 91.8% 的尖锐 BD 类别估计准确率。与语言标签相关的粒度和粒度输入输出图为人类提供了与生成类别估计的固有过程相关的可理解性。语言可读的 eOGS 规则可帮助医生解释症状和做出诊断。

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引用次数: 0

On an upper bound of the set of copulas with a given curvilinear section 关于具有给定曲线截面的协方差集合的上界

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-19 DOI: 10.1016/j.fss.2024.109199

Yao Ouyang , Yonghui Sun , Hua-Peng Zhang

The characterizations when two natural upper bounds of the set of copulas with a given diagonal section are copulas have been well studied in the literature. Given a curvilinear section, however, there is only a partial result concerning the characterization when a natural upper bound of the set of copulas is a copula. In this paper, we completely solve the characterization problem for this natural upper bound to be a copula in the curvilinear case.

文献中对具有给定对角线截面的协整集合的两个自然上界是协整时的特征进行了深入研究。然而，在给定曲线截面的情况下，只有部分结果涉及当共模集合的一个自然上界是共模时的特征描述。在本文中，我们完全解决了曲线情况下自然上界是 copula 的表征问题。

引用次数: 0

Fault detection for T-S nonlinear systems with parametric uncertainties via zonotopic H∞ filter 通过区位 H∞ 滤波器检测具有参数不确定性的 T-S 非线性系统故障

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-19 DOI: 10.1016/j.fss.2024.109203

Lanshuang Zhang , Zhenhua Wang , Choon Ki Ahn , Yi Shen

This paper proposes a fault detection scheme via a zonotopic fuzzy

H_{\infty}

filter for Takagi-Sugeno (T-S) fuzzy systems by considering unknown but bounded parametric uncertainties, disturbances, noises, and actuator faults, which is more consistent with practical systems. First, we design a fuzzy

H_{\infty}

fault detection filter to obtain robust residuals. The optimal gain matrix of the designed filter is computed offline, which can reduce the computational burden and improve fault detection efficiency. Second, zonotopic analysis is used to obtain the guaranteed adaptive residual thresholds. Third, the residual generation and evaluation scheme through the zonotopic analysis are presented. To illustrate the superiority of the proposed scheme, a numerical simulation comparison is studied. Compared with the existing

H_{-} / L_{\infty}

method, the proposed scheme has a more concise and simpler design process, which can offer adaptive guaranteed thresholds and detect the fault more accurately. Finally, a vehicle lateral system is used to justify the validity and applicability of the presented fault detection scheme.

本文针对高木-菅野（Takagi-Sugeno，T-S）模糊系统，考虑了未知但有界的参数不确定性、扰动、噪声和执行器故障，提出了一种通过区位模糊 H∞ 滤波器进行故障检测的方案，更符合实际系统的情况。首先，我们设计了一个模糊 H∞ 故障检测滤波器，以获得稳健的残差。设计的滤波器的最优增益矩阵是离线计算的，可以减轻计算负担，提高故障检测效率。其次，利用区位分析法获得有保证的自适应残差阈值。第三，通过区位分析提出残差生成和评估方案。为了说明所提方案的优越性，研究人员进行了数值模拟比较。与现有的 H-/L∞ 方法相比，提出的方案设计过程更简洁，能提供自适应保证阈值，检测故障更准确。最后，利用车辆横向系统证明了所提出的故障检测方案的有效性和适用性。

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引用次数: 0

Roughness in formal concept analysis via multilattices 通过多网格进行形式概念分析的粗糙度

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-19 DOI: 10.1016/j.fss.2024.109179

G. Nguepy Dongmo , B.B. Koguep Njionou , L. Kwuida , M. Onabid

Multilattices are very suitable to deal with fuzziness in non-deterministic environments. In this paper, we propose an extension of the work of Shao et al. by replacing a residuated lattice with a multilattice, as the algebraic structure of truth values in the set approximations within fuzzy formal concept analysis. We propose new fuzzy concept multilattices derived from adjoint pairs. In addition, we define two pairs of rough fuzzy set approximations in fuzzy formal contexts via multilattice, and we establish their characterizations.

多网格非常适合处理非确定性环境中的模糊问题。在本文中，我们提出了对 Shao 等人工作的扩展，用多网格代替残差网格，作为模糊形式概念分析中集合近似中真值的代数结构。我们提出了由邻接对派生的新模糊概念多网格。此外，我们通过多网格定义了模糊形式语境中的两对粗糙模糊集近似，并确定了它们的特征。

引用次数: 0

The characterization of monotone functions that generate associative functions 生成关联函数的单调函数的表征

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-19 DOI: 10.1016/j.fss.2024.109201

Meng Chen, Yun-Mao Zhang, Xue-ping Wang

Consider a two-place function

T : {[0, 1]}^{2} \to [0, 1]

defined by

T (x, y) = f^{(- 1)} (F (f (x), f (y)))

where

F : {[0, \infty]}^{2} \to [0, \infty]

is an associative function,

f : [0, 1] \to [0, \infty]

is a monotone function that satisfies either

f (x) = f (x^{+})

when

f (x^{+}) \in Ran (f)

f (x) \neq f (y)

for any

y \neq x

when

f (x^{+}) \notin Ran (f)

for all

x \in [0, 1]

and

f^{(- 1)} : [0, \infty] \to [0, 1]

is a pseudo-inverse of f. In this article, the associativity of the function T is shown to depend only on properties of the range of f. The necessary and sufficient conditions for the T being associative are presented by applying the properties of the monotone function f.

考虑由 T(x,y)=f(-1)(F(f(x),f(y))定义的双位函数 T：[0,1]2→[0,1]，其中 F：[0,∞]2→[0,∞]是关联函数，f：[0,1]→[0,∞]是一个单调函数，当 f(x+)∈Ran(f) 时，满足 f(x)=f(x+) 或当 f(x+)∉Ran(f) 时，对于所有 x∈[0,1]，对于任意 y≠x，满足 f(x)≠f(y)；f(-1):[0,∞]→[0,1]是 f 的伪逆。本文证明了函数 T 的关联性只取决于 f 范围的性质，并应用单调函数 f 的性质提出了函数 T 关联性的必要条件和充分条件。

引用次数: 0

A minimum cost and maximum fairness-driven multi-objective optimization consensus model for large-scale group decision-making 用于大规模群体决策的最小成本和最大公平性驱动的多目标优化共识模型

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-17 DOI: 10.1016/j.fss.2024.109198

Yufeng Shen , Xueling Ma , Zeshui Xu , Muhammet Deveci , Jianming Zhan

The rise of social media and e-democracy has driven a paradigm shift in decision-making, notably reflected in the changing ways of public participation and policymaking within decision-making processes. The increased focus on fairness and efficiency not only complicates the consensus-building process among diverse interests and perspectives, but also significantly adds to the complexity of decision-making and its implementation. In this context, balancing the interests of all parties while ensuring fairness and improving decision-making effectiveness becomes crucial. To address these challenges, this study develops a multi-objective optimization consensus framework for large-scale group decision-making (LSGDM) that integrates the interests of decision-makers (DMs) and a moderator, providing a more comprehensive tool. Specifically, this study first designs a DM weight determination method based on structural hole theory within fuzzy social networks. The proposed DM weight determination method effectively leverages the flexibility of fuzzy social networks and the comprehensiveness of structural hole theory to enhance the accuracy and reliability of weight assignment. Building on this, a novel clustering method based on the maximum group consensus level is developed, taking into account the varying importance of different DMs. Furthermore, a minimum cost and maximum fairness-driven multi-objective optimization LSGDM consensus model, referred to as MCMF-MO-LSGDM, is explored in this study. Finally, the utility and superiority of the constructed model are confirmed through comparative analysis and simulation experiments against existing related works.

社交媒体和电子民主的兴起推动了决策范式的转变，主要体现在决策过程中公众参与和决策方式的变化。对公平和效率的日益重视不仅使不同利益和观点之间建立共识的过程复杂化，而且大大增加了决策及其实施的复杂性。在这种情况下，在确保公平和提高决策效率的同时平衡各方利益就变得至关重要。为了应对这些挑战，本研究开发了一个用于大规模群体决策（LSGDM）的多目标优化共识框架，该框架整合了决策者（DMs）和主持人的利益，提供了一个更全面的工具。具体而言，本研究首先设计了一种基于模糊社会网络中结构洞理论的 DM 权重确定方法。所提出的 DM 权重确定方法有效地利用了模糊社会网络的灵活性和结构洞理论的全面性，提高了权重分配的准确性和可靠性。在此基础上，考虑到不同 DM 的重要性不同，提出了一种基于最大群体共识水平的新型聚类方法。此外，本研究还探索了一种最小成本和最大公平性驱动的多目标优化 LSGDM 共识模型，简称为 MCMF-MO-LSGDM。最后，通过与现有相关著作的对比分析和模拟实验，证实了所构建模型的实用性和优越性。

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引用次数: 0

Average general fractal dimensions of typical compact metric spaces 典型紧凑公制空间的平均一般分形维数

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-16 DOI: 10.1016/j.fss.2024.109192

Bilel Selmi

The main objective of this paper is to investigate the average general fractal dimensions of typical compact metric spaces within the Gromov-Hausdorff space, using the Gromov-Hausdorff metric. As an application of the main results, we demonstrate that a typical compact metric space Σ exhibits such irregularity that the lower and upper average general Hewitt-Stromberg dimensions, as well as the general box dimensions corresponding to all higher-order Hölder and Cesàro averages, diverge significantly.

本文的主要目的是利用格罗莫夫-豪斯多夫度量，研究格罗莫夫-豪斯多夫空间内典型紧凑度量空间的平均一般分形维数。作为主要结果的一个应用，我们证明了典型的紧凑度量空间Σ表现出这样的不规则性，以至于一般休伊特-斯特罗姆伯格维度的下限和上限平均值，以及对应于所有高阶霍尔德和塞萨罗平均值的一般盒维度，都显著发散。

引用次数: 0

A note on the cross-migrativity between uninorms and overlap (grouping) functions 关于非矩阵和重叠（分组）函数之间交叉迁移性的说明

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-15 DOI: 10.1016/j.fss.2024.109190

Xiangjie Fang, Kuanyun Zhu

In 2022, Zhu et al. [14] studied the α-cross-migrativity between uninorms and overlap (grouping) functions, and mainly characterized in detail the corresponding cross-migrativity property when uninorms belong to five general classes (i.e.,

U_{\min}

U_{\max}

U_{i d e}

U_{r e p}

and

U_{\cos}

), respectively. However, the results obtained by Zhu et al. have some defects, such as lengthy (or unclear) proofs, false proofs and faulty conclusions. Therefore, this paper indicates the defects and reasons, and the corresponding correction. In addition, some further conclusions are given, which relates the α-cross-migrativity between uninorms and overlap (grouping) functions to α-cross-migrativity between t-norms (t-conorms) and overlap (grouping) functions.

2022年，Zhu等人[14]研究了非矩形与重叠（分组）函数之间的α交叉迁移性，主要详细表征了非矩形分别属于5个一般类（即Umin、Umax、Uide、Urep和Ucos）时相应的交叉迁移性质。然而，Zhu 等人得到的结果存在一些缺陷，如证明冗长（或不清晰）、虚假证明和错误结论等。因此，本文指出了这些缺陷及其原因，并进行了相应的修正。此外，本文还给出了一些进一步的结论，将非矩形与重叠（分组）函数之间的α-交叉迁移性与 t-矩形（t-conorms）与重叠（分组）函数之间的α-交叉迁移性联系起来。

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引用次数: 0

Some algebraic and analytical properties of a class of two-place functions 一类二位函数的一些代数和分析性质

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-15 DOI: 10.1016/j.fss.2024.109196

Xue-ping Wang, Yun-Mao Zhang

This article deals with the formula

f^{(- 1)} (F (f (x), f (y)))

generated by a one-place function

f : [0, 1] \to [0, 1]

and a binary function

F : {[0, 1]}^{2} \to [0, 1]

. When the f is a strictly increasing function and F is a continuous, non-decreasing and associative function with neutral element in

[0, 1]

, the following algebraic and analytical properties of the formula are studied: idempotent elements, the continuity (resp. left-continuity/right-continuity), the associativity and the limit property. Relationship among these properties is investigated. Some necessary conditions and some sufficient conditions are given for the formula being a triangular norm (resp. triangular conorm). In particular, a necessary and sufficient condition are expressed for obtaining a continuous Archimedean triangular norm (resp. triangular conorm). When the f is a non-decreasing surjective function and F is a non-decreasing associative function with neutral element in

[0, 1]

, we investigate the associativity of the formula.

本文讨论由一元函数 f:[0,1]→[0,1] 和二元函数 F:[0,1]2→[0,1] 生成的公式 f(-1)(F(f(x),f(y)))。当 f 是严格递增函数，F 是连续、非递减、关联函数且中性元素在 [0,1] 时，研究公式的以下代数和分析性质：幂等元素、连续性（左连续性/右连续性）、关联性和极限性质。研究了这些性质之间的关系。给出了公式成为三角形规范（即三角形 conorm）的一些必要条件和一些充分条件。特别是，给出了获得连续阿基米德三角形规范（或三角形 conorm）的必要条件和充分条件。当 f 是非递减的注入函数且 F 是非递减的关联函数且中性元素在 [0,1] 时，我们研究了公式的关联性。

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引用次数: 0

The Choquet-like operator with respect to an admissible order as a tool for aggregating multivalued data 与可容许阶相关的 Choquet 类算子是汇总多值数据的工具

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems

Pub Date : 2024-11-15 DOI: 10.1016/j.fss.2024.109197

Michał Boczek, Tomasz Józefiak, Marek Kaluszka, Andrzej Okolewski

In this paper, we propose a new generalization of the classical discrete Choquet integral to the multivalued framework in terms of an admissible order that refines the natural partial order on the considered value set. The new Choquet-like operator takes as input a finite number of values of a given type, in particular real numbers, intervals, and vectors, and returns a single output value of the same type as the input values. We give necessary and sufficient conditions for the operator to be monotone with respect to the admissible order. We then provide a complete characterization of the Choquet-like operator as an aggregation function with respect to the admissible order and study its selected special cases.

在本文中，我们提出了一种将经典离散 Choquet 积分推广到多值框架的新方法，即利用可容许阶来完善所考虑值集的自然偏阶。新的 Choquet 类算子将给定类型（尤其是实数、区间和向量）的有限数量的值作为输入，并返回与输入值类型相同的单个输出值。我们给出了该算子在可容许阶数方面单调的必要条件和充分条件。然后，我们将 Choquet 类算子完整地描述为一个与可容许阶相关的聚集函数，并研究其选定的特例。

引用次数: 0

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