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Objective and interpretable metrics to evaluate current artificial intelligent systems are of great importance, not only to analyze the current state of such systems but also to objectively measure progress in the future. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Julian Niedermeier , Gonçalo Mordido , Christoph Meinel

In several research areas, ratings data and response times have been successfully used to unfold the stage-wise process through which human raters provide their responses to questionnaires and social surveys. A limitation of the standard…

Applications · Statistics 2022-03-24 Niccolò Cao , Antonio Calcagnì

This article is the first part of series of articles that aim to present the foundations for fuzzy variational calculus for functions taking values in the space of linearly correlated fuzzy numbers $\mathbb{R}_{\mathcal{F}(A)}$. Recall that…

General Mathematics · Mathematics 2025-06-05 Gastão S. F. Frederico , Estevão Esmi , Laécio C. Barros

In this paper the Distributed Consensus and Synchronization problems with fuzzy-valued initial conditions are introduced, in order to obtain a shared estimation of the state of a system based on partial and distributed observations, in the…

Systems and Control · Computer Science 2015-03-19 Stefano Panzieri , Gabriele Oliva , Roberto Setola

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

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

We present ConFusion, an open-source package for online sensor fusion for robotic applications. ConFusion is a modular framework for fusing measurements from many heterogeneous sensors within a moving horizon estimator. ConFusion offers…

Robotics · Computer Science 2019-03-04 Timothy Sandy , Lukas Stadelmann , Simon Kerscher , Jonas Buchli

Today manufacturers are using fuzzy logic in everything from cameras to industrial process control. Fuzzy logic controllers are easier to design and so are cheaper to produce. Fuzzy logic captures the impreciseness inherent in most input…

Other Computer Science · Computer Science 2010-05-17 S. Sanyal , S. Iyengar , A. A. Roy , N. N. Karnik , N. M. Mengale , S. B. Menon , Wu Geng Feng

The clustering methods have been used in a variety of fields such as image processing, data mining, pattern recognition, and statistical analysis. Generally, the clustering algorithms consider all variables equally relevant or not…

Machine Learning · Computer Science 2021-02-19 Sara Ines Rizo Rodriguez , Francisco de Assis Tenorio de Carvalho

This paper presents a physically-informed fuzzy clustering of vertical sounding ionograms for automatically separating the ionogram into tracks suitable for further interpretation and determining their optimal number. The model is designed…

Atmospheric and Oceanic Physics · Physics 2026-05-01 Oleg I. Berngardt , Sergey N. Ponomarchuk

Federated learning is generally used in tasks where labels are readily available (e.g., next word prediction). Relaxing this constraint requires design of unsupervised learning techniques that can support desirable properties for federated…

Machine Learning · Computer Science 2022-06-14 Ekdeep Singh Lubana , Chi Ian Tang , Fahim Kawsar , Robert P. Dick , Akhil Mathur

Prediction sets offer a binary inclusion/exclusion for each element at the same fixed confidence level. We generalize to fuzzy prediction sets, which exclude elements at their own data-driven confidence level. Our key insight is that a…

Statistics Theory · Mathematics 2026-04-01 Nick W. Koning , Sam van Meer

We identify a new and important global (or non-binary) constraint. This constraint ensures that the values taken by two vectors of variables, when viewed as multisets, are ordered. This constraint is useful for a number of different…

Artificial Intelligence · Computer Science 2009-05-26 Alan M. Frisch , Ian Miguel , Zeynep Kiziltan , Brahim Hnich , Toby Walsh

With the rapid advancement of large language models (LLMs), natural language processing (NLP) has achieved remarkable progress. Nonetheless, significant challenges remain in handling texts with ambiguity, polysemy, or uncertainty. We…

Computation and Language · Computer Science 2025-09-29 Ping Chen , Xiang Liu , Zhaoxiang Liu , Zezhou Chen , Xingpeng Zhang , Huan Hu , Zipeng Wang , Kai Wang , Shuming Shi , Shiguo Lian

Fuzzing is utilized for testing software and systems for cybersecurity risk via the automated adaptation of inputs. It facilitates the identification of software bugs and misconfigurations that may create vulnerabilities, cause abnormal…

Cryptography and Security · Computer Science 2023-06-08 Jack Hance , Jeremy Straub

While fuzzing is widely accepted as an efficient program testing technique, it is still unclear how to measure the comparative quality of different fuzzers. The current de facto quality metrics are edge coverage and the number of discovered…

Software Engineering · Computer Science 2024-09-24 Gwangmu Lee

In an earlier work we have used the Triangular Fuzzy Numbers (TFNs)as an assessment tool of student skills.This approach led to an approximate linguistic characterization of the students' overall performance, but it was not proved to be…

Artificial Intelligence · Computer Science 2015-10-14 Michael Voskoglou

In this paper, a non-probabilistic method based on fuzzy logic is used to update finite element models (FEMs). Model updating techniques use the measured data to improve the accuracy of numerical models of structures. However, the measured…

Artificial Intelligence · Computer Science 2017-01-05 I. Boulkaibet , T. Marwala , M. I. Friswell , H. Haddad Khodaparast , S. Adhikari

$n$-Dimensional fuzzy sets are a fuzzy set extension where the membership values are n-tuples of real numbers in the unit interval [0,1] increasingly ordered, called n-dimensional intervals. The set of n-dimensional intervals is denoted by…

Optimization and Control · Mathematics 2021-01-29 Thadeu Milfont , Ivan Mezzomo , Benjamín Bedregal , Edmundo Mansilla , Humberto Bustince

The purpose of this paper is to study the algorithm FCM and some of its famous innovations, analyse and discover the method of applying hedge algebra theory that uses algebra to represent linguistic-valued variables, to FCM. Then, this…

Machine Learning · Computer Science 2017-11-06 Hung Thai Le , Khang Ding Tran , Hung Van Le

This paper proposes the meeting of fuzzy logic with paraconsistency in a very precise and foundational way. Specifically, in this paper we introduce expansions of the fuzzy logic MTL by means of primitive operators for consistency and…

Logic · Mathematics 2021-03-15 Marcelo Coniglio , Francesc Esteva , Lluís Godo