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The motivation behind mathematically modeling the human operator is to help explain the response characteristics of the complex dynamical system including the human manual controller. In this paper, we present two different fuzzy logic…

生物物理 · 物理学 2009-07-10 Tijana T. Ivancevic , Bojan Jovanovic , Sasa Markovic

This paper presents some concepts of the theory of interactive fuzzy numbers, and mainly, a class of interactive fuzzy numbers, called $f$-correlated fuzzy numbers. We start from the foundations of general fuzzy mathematics and go through…

综合数学 · 数学 2024-12-03 Diogo Sampaio da Silva , Roberto Antonio Cordeiro Prata

This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of parameter values and produce a hybrid model that also exhibits…

动力系统 · 数学 2022-08-24 K. H. Lee , D. A. W. Barton , L. Renson

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…

综合数学 · 数学 2025-06-05 Gastão S. F. Frederico , Estevão Esmi , Laécio C. Barros

This paper is concerned with existence, non-existence and uniqueness of positive (coexistence) steady states to a predator-prey system with density-dependent dispersal. To overcome the analytical obstacle caused by the cross-diffusion…

偏微分方程分析 · 数学 2023-04-19 De Tang , Zhi-An Wang

Discontinuous dynamical systems with grazing solutions are discussed. The group property, continuation of solutions, continuity and smoothness of motions are thoroughly analyzed. A variational system around a grazing solution which depends…

动力系统 · 数学 2016-04-20 Marat Akhmet , Aysegul Kivilcim

In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a…

高能物理 - 理论 · 物理学 2013-10-18 Paul Schreivogl , Harold Steinacker

This paper investigates the generalized Hukuhara differentiability of fuzzy number-valued functions on arbitrary time scales using delta calculus. By carefully examining and improving existing results, we develop a unified and complete…

综合数学 · 数学 2025-07-08 Funda Raziye Mert , Selami Bayeğ

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

综合数学 · 数学 2009-11-10 Bivas Dinda , T. K. Samanta

A general fuzzy min-max (GFMM) neural network is one of the efficient neuro-fuzzy systems for classification problems. However, a disadvantage of most of the current learning algorithms for GFMM is that they can handle effectively numerical…

机器学习 · 计算机科学 2020-09-02 Thanh Tung Khuat , Bogdan Gabrys

In this paper, we study the concept of complex fuzzy soft matrices. The application of complex fuzzy soft matrices in signals and systems via the cross product of complex fuzzy soft matrices and Fourier transform was carried out. In this…

综合数学 · 数学 2026-03-19 Olayemi R. Oladokun , Taiwo O. Sangodapo

To improve the problem that the parameter identification for fuzzy neural network has many time complexities in calculating, an improved T-S fuzzy inference method and an parameter identification method for fuzzy neural network are…

神经与进化计算 · 计算机科学 2014-12-30 Chol Man Ho , Son Il Gwak , Song Ho Pak , Jong Won Ha

The article is dedicated to the analysis of the existing models for assessment based of the fuzzy logic centroid technique. A new Generalized Rectangular Model were developed. Some generalizations of the existing models are offered.

人工智能 · 计算机科学 2015-01-26 Igor Yakov Subbotin

We address the question of an averaging principle for a general class of multi-scale hybrid predator-prey models. We consider prey-predator models where the kinetic of the prey population, described by a differential equation, is faster…

概率论 · 数学 2014-09-02 Alexandre Genadot

Several adaptation techniques have been investigated to optimize fuzzy inference systems. Neural network learning algorithms have been used to determine the parameters of fuzzy inference system. Such models are often called as integrated…

人工智能 · 计算机科学 2016-11-15 Ajith Abraham

In this note we present a study of the solutions associated to a particular spatial extension of the Rosenzweig-MacArthur model for predator and prey. The analysis presented here shows that positive steady state solutions emerge via a…

动力系统 · 数学 2021-03-15 Leoncio Rodriguez Quinones , Luis F. Gordillo

The purpose of this paper is to study a non-convex fuzzy multi-objective quadratic programming problem, in which both the technological coefficients and resources are fuzzy with nonlinear membership function. A computational procedure to…

最优化与控制 · 数学 2013-08-02 Shashi Aggarwal , Uday Sharma

This paper concerns with the developing the most general schemes so-called Fuzzy General Linear Methods (FGLM) for solving fuzzy differential equations. The general linear methods (GLM) for ordinary differential equations are the middle…

数值分析 · 数学 2018-12-11 Javad Farzi , Afsaneh Moradi

To understand the spreading and interaction of prey and predator, in this paper we study the dynamics of the diffusive Lotka-Volterra type prey-predator model with different free boundaries. These two free boundaries, which may intersect…

偏微分方程分析 · 数学 2017-10-02 Mingxin Wang , Yang Zhang