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Similarity measures provide one of the core tools that enable reasoning about fuzzy sets. While many types of similarity measures exist for type-1 and interval type-2 fuzzy sets, there are very few similarity measures that enable the…

人工智能 · 计算机科学 2016-11-17 Josie McCulloch , Christian Wagner , Uwe Aickelin

This paper introduces a novel Choquet distance using fuzzy rough set based measures. The proposed distance measure combines the attribute information received from fuzzy rough set theory with the flexibility of the Choquet integral. This…

机器学习 · 计算机科学 2025-02-18 Adnan Theerens , Chris Cornelis

In decision making, the cognitive fuzzy set (CFS) is a useful tool in expressing experts' complex assessments of alternatives. The distance of CFS, which plays an important role in decision analyses, is necessary when the CFS is applied in…

最优化与控制 · 数学 2025-09-11 Lisheng Jiang , Tianyu Zhang , Shiyu Yan , Ran Fang

Several deep learning (DL) approaches have been proposed to deal with image classification tasks. However, despite their effectiveness, they lack interpretability, as they are unable to explain or justify their results. To address the…

计算机视觉与模式识别 · 计算机科学 2025-04-07 Georgia Sovatzidi , Michael D. Vasilakakis , Dimitris K. Iakovidis

Fuzzy measures, also referred to as nonadditive measures, emerge from the foundational concept of additive measures by transforming additivity into monotonicity. In comparison to the expansive $2^n$ coefficients of fuzzy measures, additive…

综合数学 · 数学 2023-09-28 Jian-Zhang Wu , Gleb Beliakov

In this paper, we give the concept of Globular T-Spherical Fuzzy (G-TSF) Sets (G-TSFSs) as an innovative extension of T-Spherical Fuzzy Sets (TSFSs) and Circular Spherical Fuzzy Sets (C-SFSs). G-TSFSs represent membership, indeterminacy,…

人工智能 · 计算机科学 2024-03-13 Miin-Shen Yang , Yasir Akhtar , Mehboob Ali

The concept of Type-2 soft sets had been proposed as a generalization of Molodstov's soft sets. In this paper some shortcomings of some existing distance measures for Type-1 soft sets have been shown and accordingly some new distance…

综合数学 · 数学 2016-12-21 Rajashi Chatterjee , P. Majumdar , S. K. Samanta

Ranking intuitionistic fuzzy sets with distance based ranking methods requires to calculate the distance between intuitionistic fuzzy set and a reference point which is known to have either maximum (positive ideal solution) or minimum…

人工智能 · 计算机科学 2023-11-23 Kaan Deveci , Onder Guler

This contribution reviews critically the existing entropy measures for probabilistic hesitant fuzzy sets (PHFSs), and demonstrates that these entropy measures fail to effectively distinguish a variety of different PHFSs in some cases. In…

人工智能 · 计算机科学 2020-11-18 Bahram Farhadinia , Uwe Aickelin , Hadi Akbarzadeh Khorshidi

Non-maximum suppression (NMS) is an essential post-processing module used in many 3D object detection frameworks to remove overlapping candidate bounding boxes. However, an overreliance on classification scores and difficulties in…

计算机视觉与模式识别 · 计算机科学 2023-10-24 Li Wang , Xinyu Zhang , Fachuan Zhao , Chuze Wu , Yichen Wang , Ziying Song , Lei Yang , Jun Li , Huaping Liu

It is difficult to implement an efficient detection approach for Intrusion Detection Systems (IDS) and many factors contribute to this challenge. One such challenge concerns establishing adequate boundaries and finding a proper data source.…

网络与互联网体系结构 · 计算机科学 2018-11-26 Mohammad Almseidin , Mouhammd Alkasassbeh , Szilveszter Kovacs

Deep metric learning, which learns discriminative features to process image clustering and retrieval tasks, has attracted extensive attention in recent years. A number of deep metric learning methods, which ensure that similar examples are…

计算机视觉与模式识别 · 计算机科学 2019-04-05 Tongtong Yuan , Weihong Deng , Jian Tang , Yinan Tang , Binghui Chen

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

综合数学 · 数学 2024-03-20 Diksha Gupta

Fuzzy metric spaces, grounded in t-norms and membership functions, have been widely proposed to model uncertainty in machine learning, decision systems, and artificial intelligence. Yet these frameworks treat uncertainty as an external…

量子物理 · 物理学 2025-09-30 Nicola Fabiano

In practical situations, interval-valued fuzzy sets are frequently encountered. In this paper, firstly, we present shadowed sets for interpreting and understanding interval fuzzy sets. We also provide an analytic solution to computing the…

人工智能 · 计算机科学 2014-12-23 Guangming Lang

Firstly in this paper we propose a new criterion function for evaluation of the reductive property about the fuzzy reasoning result for fuzzy modus ponens and fuzzy modus tollens. Secondly unlike fuzzy reasoning methods based on the…

人工智能 · 计算机科学 2018-09-14 Son-il Kwak , Gum-ju Kim , Michio Sugeno , Gwang-chol Li , Myong-suk Son , Hyok-chol Kim , Un-ha Kim

In this paper, a new interval type-2 fuzzy neural network able to construct non-separable fuzzy rules with adaptive shapes is introduced. To reflect the uncertainty, the shape of fuzzy sets considered to be uncertain. Therefore, a new form…

机器学习 · 计算机科学 2021-12-22 Armin Salimi-Badr

While the existing stochastic control theory is well equipped to handle dynamical systems with stochastic uncertainties, a paradigm shift using distance measure based decision making is required for the effective further exploration of the…

最优化与控制 · 数学 2025-12-02 Venkatraman Renganathan , Sei Zhen Khong

Feature selection is crucial for fuzzy decision systems (FDSs), as it identifies informative features and eliminates rule redundancy, thereby enhancing predictive performance and interpretability. Most existing methods either fail to…

机器学习 · 计算机科学 2025-10-01 Suping Xu , Chuyi Dai , Ye Liu , Lin Shang , Xibei Yang , Witold Pedrycz

We propose a fundamental metric for measuring the distance between two distributions. This metric, referred to as the decision-focused (DF) divergence, is tailored to stochastic linear optimization problems in which the objective…

统计理论 · 数学 2026-02-04 Suhan Liu , Mo Liu