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Uncertainty Quantification (UQ) is crucial for deploying reliable Deep Learning (DL) models in high-stakes applications. Recently, General Type-2 Fuzzy Logic Systems (GT2-FLSs) have been proven to be effective for UQ, offering Prediction…

Machine Learning · Computer Science 2025-04-10 Yusuf Guven , Tufan Kumbasar

In this paper, we introduce Interval Real Logic (IRL), a two-sorted logic that interprets knowledge such as sequential properties (traces) and event properties using sequences of real-featured data. We interpret connectives using fuzzy…

Artificial Intelligence · Computer Science 2023-04-03 Samy Badreddine , Gianluca Apriceno , Andrea Passerini , Luciano Serafini

Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain…

Artificial Intelligence · Computer Science 2012-06-06 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

The clustering performance of Fuzzy Adaptive Resonance Theory (Fuzzy ART) is highly dependent on the preset vigilance parameter, where deviations in its value can lead to significant fluctuations in clustering results, severely limiting its…

Machine Learning · Computer Science 2025-05-09 Xiaozheng Qu , Zhaochuan Li , Zhuang Qi , Xiang Li , Haibei Huang , Lei Meng , Xiangxu Meng

This paper focuses on developing a method to obtain an uncertain linear fractional transformation (LFT) system that adequately captures the dynamics of a nonlinear time-invariant system over some desired envelope. First, the nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Sourav Sinha , Devaprakash Muniraj , Mazen Farhood

Fuzzy rough feature selection (FRFS) is an effective means of addressing the curse of dimensionality in high-dimensional data. By removing redundant and irrelevant features, FRFS helps mitigate classifier overfitting, enhance generalization…

Machine Learning · Computer Science 2025-05-22 Suping Xu , Lin Shang , Keyu Liu , Hengrong Ju , Xibei Yang , Witold Pedrycz

Generating music with emotion similar to that of an input video is a very relevant issue nowadays. Video content creators and automatic movie directors benefit from maintaining their viewers engaged, which can be facilitated by producing…

Sound · Computer Science 2020-04-07 Gwenaelle Cunha Sergio , Minho Lee

The paper deals with a lot sizing problem with ill-known demands modeled by fuzzy intervals whose membership functions are possibility distributions for the values of the uncertain demands. Optimization criteria, in the setting of…

Other Computer Science · Computer Science 2012-10-22 Romain Guillaume , Przemyslaw Kobylanski , Pawel Zielinski

Recently, several studies have claimed that using class-specific feature subsets provides certain advantages over using a single feature subset for representing the data for a classification problem. Unlike traditional feature selection…

Machine Learning · Computer Science 2023-07-11 Suchismita Das , Nikhil R. Pal

Rule-based models are essential for high-stakes decision-making due to their transparency and interpretability, but their discrete nature creates challenges for optimization and scalability. In this work, we present the Fuzzy Rule-based…

Machine Learning · Computer Science 2025-09-25 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

In this paper, we present a generalization of the relational data model based on interval neutrosophic set. Our data model is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or intuitionistic fuzzy…

Databases · Computer Science 2007-10-30 Haibin Wang , Rajshekhar Sunderraman , Florentin Smarandache , Andre Rogatko

In this paper, the interval-valued intuitionistic fuzzy matrix (IVIFM) is introduced. The interval-valued intuitionistic fuzzy determinant is also defined. Some fundamental operations are also presented. The need of IVIFM is explain by an…

Discrete Mathematics · Computer Science 2014-04-29 Susanta Kumar Khan , Madhumangal Pal

Although fuzzy techniques promise fast meanwhile accurate modeling and control abilities for complicated systems, different difficulties have been re-vealed in real situation implementations. Usually there is no escape of it-erative…

Artificial Intelligence · Computer Science 2017-01-08 Iman Esmaili Paeen Afrakoti , Saeed Bagheri Shouraki , Farnood Merrikhbayat

Fusion of Artificial Neural Networks (ANN) and Fuzzy Inference Systems (FIS) have attracted the growing interest of researchers in various scientific and engineering areas due to the growing need of adaptive intelligent systems to solve the…

Artificial Intelligence · Computer Science 2007-05-23 Ajith Abraham

System identification (SysID) is critical for modeling dynamical systems from experimental data, yet traditional approaches often fail to capture nonlinear behaviors. While deep learning offers powerful tools for modeling such dynamics,…

Machine Learning · Computer Science 2026-05-13 Mehmet Ali Ferah , Tufan Kumbasar

We prove that the space of intuitionistic fuzzy values (IFVs) with a linear order based on a score function and an accuracy function has the same algebraic structure as the one induced by a linear order based on a similarity function and an…

Artificial Intelligence · Computer Science 2022-06-02 Xinxing Wu , Tao Wang , Qian Liu , Peide Liu , Guanrong Chen , Xu Zhang

This paper introduces FANTF (Fuzzy Attention Network-Based Transformers), a novel approach that integrates fuzzy logic with existing transformer architectures to advance time series forecasting, classification, and anomaly detection tasks.…

Machine Learning · Computer Science 2025-04-02 Sanjay Chakraborty , Fredrik Heintz

In quantum mechanics, a norm squared wave function can be interpreted as the probability density that describes the likelihood of a particle to be measured in a given position or momentum. This statistical property is at the core of the…

Machine Learning · Computer Science 2020-11-12 Ying-Tao Luo , Peng-Qi Li , Dong-Ting Li , Yu-Gui Peng , Zhi-Guo Geng , Shu-Huan Xie , Yong Li , Andrea Alu , Jie Zhu , Xue-Feng Zhu

This article is meant to give a lucid and widely accessible, self-contained account of a novel way of performing arithmetic operations on fuzzy intervals. Based on two formulae of generalized inversion (the first in close analogy to the…

General Mathematics · Mathematics 2016-10-28 Jan Schneider