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In multi-attribute decision-making problems where the attribute values are interval grey numbers, a simplified form based on kernels and the degree of greyness is presented. Combining fuzzy graph theory with the kernel and the degree of…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Wanli Xie , Jiale Zhang , Ruiqing Cao

One of the main challenges in the area of Neuro-Symbolic AI is to perform logical reasoning in the presence of both neural and symbolic data. This requires combining heterogeneous data sources such as knowledge graphs, neural model…

Artificial Intelligence · Computer Science 2024-03-06 Matthias Lanzinger , Stefano Sferrazza , Przemysław A. Wałęga , Georg Gottlob

Design of a fuzzy rule based classifier is proposed. The performance of the classifier for multispectral satellite image classification is improved using Dempster- Shafer theory of evidence that exploits information of the neighboring…

Computer Vision and Pattern Recognition · Computer Science 2011-04-11 Arijit Laha , J. Das

There has been significant focus on creating neuro-symbolic models for interpretable image classification using Convolutional Neural Networks (CNNs). These methods aim to replace the CNN with a neuro-symbolic model consisting of the CNN,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Parth Padalkar , Jaeseong Lee , Shiyi Wei , Gopal Gupta

Denoising by frame thresholding is one of the most basic and efficient methods for recovering a discrete signal or image from data that are corrupted by additive Gaussian white noise. The basic idea is to select a frame of analyzing…

Numerical Analysis · Mathematics 2015-01-21 Markus Haltmeier , Axel Munk

A major limitation of fuzzy or neuro-fuzzy systems is their failure to deal with high-dimensional datasets. This happens primarily due to the use of T-norm, particularly, product or minimum (or a softer version of it). Thus, there are…

Machine Learning · Computer Science 2022-01-11 Guangdong Xue , Qin Chang , Jian Wang , Kai Zhang , Nikhil R. Pal

Rough set theory is a well-known mathematical framework that can deal with inconsistent data by providing lower and upper approximations of concepts. A prominent property of these approximations is their granular representation: that is,…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

Blind and universal image denoising consists of using a unique model that denoises images with any level of noise. It is especially practical as noise levels do not need to be known when the model is developed or at test time. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Majed El Helou , Sabine Süsstrunk

We describe a novel approach to explainable prediction of a continuous variable based on learning fuzzy weighted rules. Our model trains a set of weighted rules to maximise prediction accuracy and minimise an ontology-based 'semantic loss'…

Artificial Intelligence · Computer Science 2022-08-29 Martin Glauer , Robert West , Susan Michie , Janna Hastings

This paper describes an efficient rule generation algorithm, called rule generation from artificial neural networks (RGANN) to generate symbolic rules from ANNs. Classification rules are sought in many areas from automatic knowledge…

Neural and Evolutionary Computing · Computer Science 2010-09-28 S. M. Kamruzzaman

Lossless image compression is required in various applications to reduce storage or transmission costs of images, while requiring the reconstructed images to have zero information loss compared to the original. Existing lossless image…

Information Theory · Computer Science 2024-09-12 Samar Agnihotri , Renu Rameshan , Ritwik Ghosal

We present an image dehazing algorithm with high quality, wide application, and no data training or prior needed. We analyze the defects of the original dehazing model, and propose a new and reliable dehazing reconstruction and dehazing…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Zheyan Jin , Shiqi Chen , Huajun Feng , Zhihai Xu , Qi Li , Yueting Chen

Numerous learning methods for fuzzy cognitive maps (FCMs), such as the Hebbian-based and the population-based learning methods, have been developed for modeling and simulating dynamic systems. However, these methods are faced with several…

Machine Learning · Computer Science 2019-08-23 Guoliang Feng , Wei Lu , Witold Pedrycz , Jianhua Yang , Xiaodong Liu

Modeling human ratings data subject to raters' decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay between emotion and decision making in rating processes, final raters' choices seldom…

Applications · Statistics 2021-05-21 Antonio Calcagnì , Luigi Lombardi

This paper develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy…

General Mathematics · Mathematics 2007-05-23 P. V. Golubtsov , S. S. Moskaliuk

High-sensitivity imaging of ultracold atoms is often challenging when interference patterns are imprinted on the imaging light. Such image noises result in low signal-to-noise ratio and limit the capability to extract subtle physical…

Quantum Gases · Physics 2020-09-09 Bo Song , Chengdong He , Zejian Ren , Entong Zhao , Jeongwon Lee , Gyu-Boong Jo

One major drawback of deep convolutional neural networks (CNNs) for use in safety critical applications is their black-box nature. This makes it hard to verify or monitor complex, symbolic requirements on already trained computer vision…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Gesina Schwalbe , Christian Wirth , Ute Schmid

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

Cell boundary information is crucial for analyzing cell behaviors from time-lapse microscopy videos. Existing supervised cell segmentation tools, such as ImageJ, require tuning various parameters and rely on restrictive assumptions about…

Applications · Statistics 2026-01-27 Laura Baracaldo , Blythe King , Haoran Yan , Yizi Lin , Nina Miolane , Mengyang Gu

Deep learning-based image denoising techniques often struggle with poor generalization performance to out-of-distribution real-world noise. To tackle this challenge, we propose a novel noise translation framework that performs denoising on…

Image and Video Processing · Electrical Eng. & Systems 2026-04-03 Inju Ha , Donghun Ryou , Seonguk Seo , Bohyung Han
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