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Prognostics aid in the longevity of fielded systems or products. Quantifying the system's current health enable prognosis to enhance the operator's decision-making to preserve the system's health. Creating a prognosis for a system can be…

Artificial Intelligence · Computer Science 2022-08-31 Ryan Nguyen , Shubhendu Kumar Singh , Rahul Rai

The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss computational aspects to implement efficient algorithms. Numerical…

Numerical Analysis · Mathematics 2019-12-23 Roberto Garrappa

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

Machine Learning · Statistics 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

In this work we describe the implementation and analysis of different optimization algorithms used for finding the best set of parameters for a Fuzzy Inference System intended to classify solar flares. The parameters will be identified…

This paper presents a Fuzzy Cognitive Map model to quantify implicit bias in structured datasets where features can be numeric or discrete. In our proposal, problem features are mapped to neural concepts that are initially activated by…

Machine Learning · Computer Science 2022-01-14 Gonzalo Nápoles , Isel Grau , Leonardo Concepción , Lisa Koutsoviti Koumeri , João Paulo Papa

In this contribution we provide initial findings to the problem of modeling fuzzy rating responses in a psychometric modeling context. In particular, we study a probabilistic tree model with the aim of representing the stage-wise mechanisms…

Methodology · Statistics 2022-07-06 Antonio Calcagnì , Luigi Lombardi

This paper proposes an algorithm for computing regularized solutions to linear rational expectations models. The algorithm allows for regularization cross-sectionally as well as across frequencies. A variety of numerical examples illustrate…

Econometrics · Economics 2020-10-28 Majid M. Al-Sadoon

The main purpose of this paper is to provide a solution of the consistent fuzzy linear system and a generalized solution of the inconsistent fuzzy linear system involving the core-EP inverse of an associated matrix. Before this can be…

Rings and Algebras · Mathematics 2021-08-20 Yuefeng Gao , Jing Li

We consider gray-box fuzzing of a program instrumented such that information about evaluation of program expressions converting values of numerical types to Boolean, like x <= y, is recorded during each program's execution. Given that…

Programming Languages · Computer Science 2025-01-31 Martin Jonáš , Jan Strejček , Marek Trtík

The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector…

General Mathematics · Mathematics 2010-09-14 Sanjay Roy , T. K. Samanta

Fuzzy rule-based systems have been mostly used in interpretable decision-making because of their interpretable linguistic rules. However, interpretability requires both sensible linguistic partitions and small rule-base sizes, which are not…

Machine Learning · Computer Science 2025-12-15 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

In this paper, we propose a novel weighted combination feature selection method using bootstrap and fuzzy sets. The proposed method mainly consists of three processes, including fuzzy sets generation using bootstrap, weighted combination of…

Machine Learning · Computer Science 2020-05-22 Zixiao Shen , Xin Chen , Jonathan M. Garibaldi

In the conventional Takagi-Sugeno-Kang (TSK)-type fuzzy models, constant or linear functions are usually utilized as the consequent parts of the fuzzy rules, but they cannot effectively describe the behavior within local regions defined by…

Machine Learning · Computer Science 2020-07-03 Congcong Zhang , Sung-Kwun Oh , Witold Pedrycz , Zunwei Fu , Shanzhen Lu

In this article, we introduce a differentiability concept for fuzzy functions $\tilde{f}: F(\mathbb{R}) \to F(\mathbb{R})$, where $F(\mathbb{R})$ is the set of all fuzzy numbers. With the help of the proposed differentiability notion, we…

Optimization and Control · Mathematics 2019-10-08 U. M. Pirzada , Debdas Ghosh

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

Artificial Intelligence · Computer Science 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

A computationally efficient method to solve non-convex programming problems with linear equality constraints is presented. The proposed method is based on a recursively feasible and descending sequential convex programming procedure proven…

Optimization and Control · Mathematics 2018-10-25 Josep Virgili-Llop , Marcello Romano

In this paper, a new method based on TOPSIS and optimization models is proposed for multi-attribute group decision-making in the environment of interval-valued intuitionistic fuzzy sets.Firstly, by minimizing the sum of differences between…

Artificial Intelligence · Computer Science 2023-11-28 Qixiao Hu , Shiquan Zhang , Chaolang Hu , Yuetong Liu

Neural-symbolic approaches have recently gained popularity to inject prior knowledge into a learner without requiring it to induce this knowledge from data. These approaches can potentially learn competitive solutions with a significant…

Artificial Intelligence · Computer Science 2023-02-16 Giuseppe Marra , Francesco Giannini , Michelangelo Diligenti , Marco Maggini , Marco Gori

Interval Pairwise Comparison Matrices have been widely used to account for uncertain statements concerning the preferences of decision makers. Several approaches have been proposed in the literature, such as multiplicative and fuzzy…

Artificial Intelligence · Computer Science 2017-11-28 Bice Cavallo , Matteo Brunelli

The principal innovative idea in this paper is to transform the original complex nonlinear modeling problem into a combination of linear problem and very simple nonlinear problems. The key step is the generalized linearization of nonlinear…

Computational Engineering, Finance, and Science · Computer Science 2024-09-21 W. Chen