{"title":"On exact regions between measures of concordance and Chatterjee’s rank correlation for lower semilinear copulas","authors":"Sebastian Fuchs, Carsten Limbach, Fabian Schürrer","doi":"10.1016/j.ijar.2025.109588","DOIUrl":"10.1016/j.ijar.2025.109588","url":null,"abstract":"<div><div>We explore how the classical concordance measures–Kendall’s <span><math><mi>τ</mi></math></span>, Spearman’s rank correlation <span><math><mi>ρ</mi></math></span>, and Spearman’s footrule <span><math><mi>ϕ</mi></math></span>–relate to Chatterjee’s rank correlation <span><math><mi>ξ</mi></math></span> when restricted to lower semilinear copulas. First, we provide a complete characterization of the attainable <span><math><mrow><mi>τ</mi><mspace></mspace><mo>−</mo><mspace></mspace><mi>ρ</mi></mrow></math></span> region for this class, thus resolving the conjecture of Maislinger and Trutschnig [1]. Building on this result, we then derive the exact <span><math><mrow><mi>τ</mi><mspace></mspace><mo>−</mo><mspace></mspace><mi>ϕ</mi></mrow></math></span> and <span><math><mrow><mi>ϕ</mi><mspace></mspace><mo>−</mo><mspace></mspace><mi>ρ</mi></mrow></math></span> regions, obtain a closed-form relationship between <span><math><mi>ξ</mi></math></span> and <span><math><mi>τ</mi></math></span>, and establish the exact <span><math><mrow><mi>τ</mi><mspace></mspace><mo>−</mo><mspace></mspace><mi>ξ</mi></mrow></math></span> region. In particular, we prove that <span><math><mi>ξ</mi></math></span> never exceeds <span><math><mi>τ</mi></math></span>, <span><math><mi>ρ</mi></math></span>, or <span><math><mi>ϕ</mi></math></span>. Our results clarify the relationship between undirected and directed dependence measures and reveal novel insights into the dependence structures that result from lower semilinear copulas.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109588"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145464607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Matrix-based efficient methods to update three-way regions in neighborhood systems under varying attributes","authors":"Yingqi Qi , Chengxiang Hu , Xiaoling Huang","doi":"10.1016/j.ijar.2025.109598","DOIUrl":"10.1016/j.ijar.2025.109598","url":null,"abstract":"<div><div>Traditional set-based methods for computing three-way regions in neighborhood systems primarily rely on the inclusion relationships between target concepts and neighborhood classes to process continuous numerical data. However, these methods exhibit significant limitations when applied to time-varying neighborhood information systems, as they inherently lack the capability to accommodate dynamically evolving data, effectively. To overcome this challenge, our research presents novel matrix-based incremental methods that leverage previously computed results to enable more efficient updating and maintenance of three-way regions in neighborhood rough sets. Through comprehensive integration and analysis of neighborhood information systems with a focus on varying attributes, we develop matrix-based incremental mechanisms. Building on these mechanisms, we propose two incremental algorithms to effectively handle dynamic numerical data. Experimental results demonstrate the effectiveness and superior efficiency of the proposed methods compared to existing approaches. Specifically, the proposed algorithms exhibit lower computational time and higher speed-up ratio, highlighting their efficiency for updating neighborhood three-way regions.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109598"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145621173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ruijing Cui, Jianbin Sun, Bingyu He, Kewei Yang, Bingfeng Ge
{"title":"Disentangled representations for continuous treatment effect estimation","authors":"Ruijing Cui, Jianbin Sun, Bingyu He, Kewei Yang, Bingfeng Ge","doi":"10.1016/j.ijar.2025.109601","DOIUrl":"10.1016/j.ijar.2025.109601","url":null,"abstract":"<div><div>We focus on estimating the causal effects of continuous treatments, also known as the dose-response function. Current methods typically learn a treatment-agnostic representation for all covariates, without distinguishing between instrumental, confounding, and adjustment variables among the covariates. Although some researchers disentangle covariates to estimate treatment effects, these methods are limited to the binary treatment setting and fail to obtain independent disentangled factors. So, learning the underlying disentangled factors precisely remains an open problem. In this paper, we incorporate the disentangled representation into the setting of continuous treatment and propose a novel model for dose-response curve estimation. Mutual information estimators and Integral Probability Metric distances effectively ensure the independence for disentangled factors. Extensive results on synthetic and semi-synthetic datasets demonstrate that our model outperforms current state-of-the-art methods.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109601"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145621226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Feature enhancement-based network for few-shot image classification","authors":"Junbo Zhao , Lixin Han , Hong Yan","doi":"10.1016/j.ijar.2025.109605","DOIUrl":"10.1016/j.ijar.2025.109605","url":null,"abstract":"<div><div>Few-shot image classification tackles recognizing new classes with limited training data. Despite the progress made by researchers in recent years, there are still challenges in dealing with data scarcity and improving model robustness. This paper presents FEICNet, a framework combining feature enhancement and adaptive weight control. Key innovations include: (1) MiniUNet (MUNet) — a compact network that enhances spatial and channel features through layered processing, and (2)Distribution of Feature Weights (DFW) – an adaptive weighting system that boosts critical features while filtering irrelevant patterns. Compatible with existing models without structural changes, the framework achieves strong performance across five benchmarks (MiniImageNet, tieredImageNet, StandfordDogs, CUB, StanfordCars). On StanfordCars, FEICNet outperforms Conv-64F methods by 13.4 % (1-shot) and 13.5 % (5-shot), surpassing ResNet-12 models by 9.7 % in 5-shot tests. Notably, when integrated as an embedding module, FEICNet elevates ProtoNets and Relation Networks by 19.6 %–28.8 % on StanfordDogs, demonstrating its effective plug-and-play capability. The framework exhibits consistent convergence across episodic training tasks, further evidencing its robustness. These advancements establish FEICNet as a significant contribution to few-shot image classification, particularly in resource-constrained environments and coarse- and fine-grained recognition scenarios. Overall, FEICNet provides a unified framework that bridges feature enhancement with adaptive weighting, offering new insights into few-shot image representation learning.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109605"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145621174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New paraconsistent modal logics based on rough modus ponens rules and their interrelations","authors":"Bidhan Saha , Mohua Banerjee , Soma Dutta","doi":"10.1016/j.ijar.2025.109587","DOIUrl":"10.1016/j.ijar.2025.109587","url":null,"abstract":"<div><div>Several logics were proposed by Bunder, Chakraborty and Banerjee using different kinds of ‘rough modus ponens’ rules [1, 2, 3]. Some of these logics are paraconsistent, but most are explosive. We observe that weakening the rules in a particular manner generates a collection of new paraconsistent modal logics. Several properties of the new logics are studied. One such is the characterization of the syntactic consequence relations, which yields a collection of non-standard notions of semantic consequence. Interrelations between the proposed logics and the logics introduced in <span><span>[3]</span></span> are also investigated.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109587"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145518526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zaiwu Gong , Jiaxin Zhou , Xinxin Luo , Kun Zhou , Weiwei Guo , Guo Wei
{"title":"Modeling the selection of representative aggregation functions for optimizing the representation of group behavior preferences within the preference disaggregation framework","authors":"Zaiwu Gong , Jiaxin Zhou , Xinxin Luo , Kun Zhou , Weiwei Guo , Guo Wei","doi":"10.1016/j.ijar.2025.109586","DOIUrl":"10.1016/j.ijar.2025.109586","url":null,"abstract":"<div><div>In Multiple Criteria Decision Aid (MCDA), preference disaggregation is used to derive aggregation functions that replicate the preference information provided by decision makers (DMs). A key research challenge is identifying the most representative aggregation function that aligns with the DMs’ behavioral preferences from all feasible functions. In the context of group decisions and negotiations, preference disaggregation faces two main barriers: Selecting representative aggregation functions and reducing the cognitive effort required from DMs. In this paper, we extend preference disaggregation to group decision-making by enabling DMs to increase the diversity of their decision matrices, and establish several representative aggregation function selection models that account for group behavioral preferences. Given the cognitive limitations of DMs, their preferences are often expressed as confidence levels, which inherently involve uncertainty. Therefore, we expand the scope of preference information required for preference disaggregation from deterministic preferences to uncertain preferences. By applying probability theory–specifically, chance constraints–we transform DMs’ uncertain preferences into constraints for selecting representative aggregation functions that align with their behavioral preferences. Notably, when the confidence level approaches 100 %, the uncertain preferences converge to their deterministic counterparts, demonstrating the extensiveness and inclusiveness of uncertain preference information. Finally, we illustrate the practical feasibility of our approach through a case study on the evaluation of medical pension institutions.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"189 ","pages":"Article 109586"},"PeriodicalIF":3.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145420387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Special issue on the 11th International Conference on Soft Methods in Probability and Statistics (SMPS 2024)","authors":"Sebastian Fuchs","doi":"10.1016/j.ijar.2025.109584","DOIUrl":"10.1016/j.ijar.2025.109584","url":null,"abstract":"","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"188 ","pages":"Article 109584"},"PeriodicalIF":3.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145333074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zero patterns in multi-way binary contingency tables with uniform margins","authors":"Roberto Fontana , Elisa Perrone , Fabio Rapallo","doi":"10.1016/j.ijar.2025.109582","DOIUrl":"10.1016/j.ijar.2025.109582","url":null,"abstract":"<div><div>We study the problem of transforming a multi-way contingency table into an equivalent table with uniform margins and same dependence structure. This is an old question which relates to recent advances in copula modeling for discrete random vectors. In this work, we focus on multi-way binary tables and develop novel theory to show how the zero patterns affect the existence of the transformation as well as its statistical interpretability in terms of dependence structure. The implementation of the theory relies on combinatorial and linear programming techniques, which can also be applied to arbitrary multi-way tables. In addition, we investigate which odds ratios characterize the unique solution in relation to specific zero patterns. Several examples are described to illustrate the approach and point to interesting future research directions.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"188 ","pages":"Article 109582"},"PeriodicalIF":3.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145270160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wannes De Maeyer , Mauricio Restrepo , Chris Cornelis
{"title":"Granular structures of covering-based rough set approximations through the Mapper algorithm","authors":"Wannes De Maeyer , Mauricio Restrepo , Chris Cornelis","doi":"10.1016/j.ijar.2025.109585","DOIUrl":"10.1016/j.ijar.2025.109585","url":null,"abstract":"<div><div>Covering-based rough sets (CBRS) offer a flexible extension of classical rough set theory, making them well-suited for analyzing diverse types of complex and possibly inconsistent data. A requirement for the effective use of CBRS is the availability of high-quality coverings of the dataset. A promising approach for generating such coverings is the Mapper algorithm, which builds on the underlying topological structure of the data. However, Mapper's performance depends heavily on the choice of its parameters. In this paper, we study how the structure of the parameter space is transferred to the structure of the coverings generated by these parameters, focusing on the weak and strong approximation operators. We prove important monotonicity results that give insights into the inner workings of the Mapper algorithm and how it can generate coverings. We give an overview of how each parameter influences the output covering and illustrate this using real-world datasets.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"188 ","pages":"Article 109585"},"PeriodicalIF":3.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145333076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Choosing the center of star-shaped set-valued data compatible with measure-preserving arithmetic","authors":"Gil González-Rodríguez","doi":"10.1016/j.ijar.2025.109575","DOIUrl":"10.1016/j.ijar.2025.109575","url":null,"abstract":"<div><div>Set-valued data has traditionally been represented by considering non-empty compact and convex subsets of <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span> with the usual Minkowski addition. An alternative and flexible setting that admits a functional representation are the star-shaped sets. A framework based on a center-radial characterization has been introduced to treat these sets from a statistical point of view. The arithmetic is defined directionally, which is more natural for representing imprecision propagation in higher dimensions. Nevertheless, the problem of determining a center for star-shaped sets coherent with the arithmetic and sound for statistical purposes has not been fully addressed yet. The aim is to advance on the directional characterization for star-shaped sets by considering a measure-preserving arithmetic together with a center selection fully compatible with this arithmetic. The practicability of the new framework will be illustrated using a classical dataset in set-valued statistics.</div></div>","PeriodicalId":13842,"journal":{"name":"International Journal of Approximate Reasoning","volume":"188 ","pages":"Article 109575"},"PeriodicalIF":3.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145108487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}