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During the last decades, a myriad of fuzzy time series models have been proposed in scientific literature. Among the most accurate models found in fuzzy time series, the high-order ones are the most accurate. The research described in this…

Artificial Intelligence · Computer Science 2023-10-31 Daniel Ortiz-Arroyo

This work presents a theoretical formalism and the corresponding numerical techniques to obtain the approximation of fractional-order operators over a 1D domain via the smoothed particle hydrodynamics (SPH) method. The method is presented…

Numerical Analysis · Mathematics 2025-05-08 Khashayar Ghorbani , Fabio Semperlotti

To handle the control difficulties caused by high-order dynamics, a control structure based on fractional order [proportional integral] (PI) controller and fractional order Smith-like predictor for a class of high order systems in the type…

Systems and Control · Computer Science 2019-04-18 Zhenlong Wu , Jie Yuan , Yuquan Chen , Donghai Li , YangQuan Chen

Over the last decade, it has been demonstrated that many systems in science and engineering can be modeled more accurately by fractional-order than integer-order derivatives, and many methods are developed to solve the problem of fractional…

Computer Vision and Pattern Recognition · Computer Science 2016-08-11 Qi Yang , Dali Chen , Tiebiao Zhao , YangQuan Chen

Numerical optimization techniques are widely used in a broad area of science and technology, from finding the minimal energy of systems in Physics or Chemistry to finding optimal routes in logistics or optimal strategies for high speed…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yury Chernyak , Ijaz Ahamed Mohammad , Nikolas Masnicak , Matej Pivoluska , Martin Plesch

Making a simple model by choosing a limited number of features with the purpose of reducing the computational complexity of the algorithms involved in classification is one of the main issues in machine learning and data mining. The aim of…

Machine Learning · Computer Science 2018-11-22 Shahin Pourbahrami

The particle swarm optimization (PSO) algorithm has been recently introduced in the non--linear programming, becoming widely studied and used in a variety of applications. Starting from its original formulation, many variants for…

Optimization and Control · Mathematics 2020-04-15 Silvano Chiaradonna , Felicita Di Giandomenico , Nadir Murru

This article introduces an enhanced particle swarm optimizer (PSO), termed Orthogonal PSO with Mutation (OPSO-m). Initially, it proposes an orthogonal array-based learning approach to cultivate an improved initial swarm for PSO,…

Neural and Evolutionary Computing · Computer Science 2024-05-22 Indu Bala , Dikshit Chauhan , Lewis Mitchell

In the present work a new controller called Particle Swarm Optimization based state feedback gain controller has been proposed for frequency regulation of a two area system and then its performance is compared with earlier designed…

Optimization and Control · Mathematics 2017-02-27 Naresh Kumari , A. N. Jha , Nitin Malik

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

Neural and Evolutionary Computing · Computer Science 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

For unstructured experimental units, the minimum aberration due to Fries and Hunter (1980) is a popular criterion for choosing regular fractional factorial designs. Following which, many related studies have focused on multi-stratum…

Methodology · Statistics 2022-11-14 Xie-Yu Li , Wei-Yang Yu , Ming-Chung Chang

Nature has long inspired the development of swarm intelligence (SI), a key branch of artificial intelligence that models collective behaviors observed in biological systems for solving complex optimization problems. Particle swarm…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Dikshit Chauhan , Shivani , P. N. Suganthan

Particle swarm optimization (PSO) is a search algorithm based on stochastic and population-based adaptive optimization. In this paper, a pathfinding strategy is proposed to improve the efficiency of path planning for a broad range of…

Neural and Evolutionary Computing · Computer Science 2022-06-24 David , Budi Adiperdana

In this paper we provide a rigorous mathematical foundation for continuous approximations of a class of systems with piece-wise continuous functions. By using techniques from the theory of differential inclusions, the underlying piece-wise…

Chaotic Dynamics · Physics 2014-08-20 Marius-F. Danca

This paper contributes to the design of a fractional order (FO) internal model controller (IMC) for a first order plus time delay (FOPTD) process model to satisfy a given set of desired robustness specifications in terms of gain margin (Am)…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Pushkar Prakash Arya , Sohom Chakrabarty

Particle swarm optimization (PSO) is an iterative search method that moves a set of candidate solution around a search-space towards the best known global and local solutions with randomized step lengths. PSO frequently accelerates…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Johannes Jakubik , Adrian Binding , Stefan Feuerriegel

A particle swarm optimizer (PSO) loosely based on the phenomena of crystallization and a chaos factor which follows the complimentary error function is described. The method features three phases: diffusion, directed motion, and nucleation.…

Neural and Evolutionary Computing · Computer Science 2018-02-13 Casey Kneale , Karl S. Booksh

Particle Swarm Optimisation (PSO) makes use of a dynamical system for solving a search task. Instead of adding search biases in order to improve performance in certain problems, we aim to remove algorithm-induced scales by controlling the…

Neural and Evolutionary Computing · Computer Science 2014-02-28 Adam Erskine , J Michael Herrmann

This contribution deals with identification of fractional-order dynamical systems. We consider systems whose mathematical description is a three-member differential equation in which the orders of derivatives can be real numbers. We give a…

Optimization and Control · Mathematics 2007-05-23 L. Dorcak , V. Lesko , I. Kostial

Traditional methods present a very restrictive range of applications, mainly limited by the features of the function to be optimized and of the constraint functions. In contrast, evolutionary algorithms present almost no restriction to the…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Mauro S. Innocente , Johann Sienz