A Numerical Approach Based on Neuro-Fuzzy Systems for Obtaining Functional Inverse
سال
: 2007
چکیده: Abstract: In this paper, a new and easy available numerical method is presented in calculation of functional
inverse. As for ANFIS (Adaptive Network based Fuzzy Inference System) model is available without great difficulty
in MATLAB software also due to important of obtaining functional inverse in wide range applications, we present
ANFIS-based approach for the first time for obtaining inverse of mathematical functions. The proposed approach
includes two main stages, in the first step; some limited points are sampled from desired function using Monte Carlo
simulation and second step contains training of ANFIS system that input system is output points of function and
ANFIS desired values are input values to function. One of notes in the proposed approach is calculation of inverse of
time varying functions only with tuning of generated fuzzy model with the least square and the back propagation
(BP) algorithms to form of hybrid learning algorithm which able into tracking of time varying functions.
Experimental results over many functions show superiority of the proposed method relative MATLAB software.
inverse. As for ANFIS (Adaptive Network based Fuzzy Inference System) model is available without great difficulty
in MATLAB software also due to important of obtaining functional inverse in wide range applications, we present
ANFIS-based approach for the first time for obtaining inverse of mathematical functions. The proposed approach
includes two main stages, in the first step; some limited points are sampled from desired function using Monte Carlo
simulation and second step contains training of ANFIS system that input system is output points of function and
ANFIS desired values are input values to function. One of notes in the proposed approach is calculation of inverse of
time varying functions only with tuning of generated fuzzy model with the least square and the back propagation
(BP) algorithms to form of hybrid learning algorithm which able into tracking of time varying functions.
Experimental results over many functions show superiority of the proposed method relative MATLAB software.
کلیدواژه(گان): Keywords: Functional inverse,Adaptive Network based Fuzzy Inference System,Monte Carlo method,Hybrid
learning,MATLAB software
کالکشن
:
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آمار بازدید
A Numerical Approach Based on Neuro-Fuzzy Systems for Obtaining Functional Inverse
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contributor author | هادی صدوقی یزدی | en |
contributor author | سهراب عفتی | en |
contributor author | Hadi Sadoghi Yazdi | fa |
contributor author | Sohrab Effati | fa |
date accessioned | 2020-06-06T13:53:25Z | |
date available | 2020-06-06T13:53:25Z | |
date copyright | 8/7/2007 | |
date issued | 2007 | |
identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3373500 | |
description abstract | Abstract: In this paper, a new and easy available numerical method is presented in calculation of functional inverse. As for ANFIS (Adaptive Network based Fuzzy Inference System) model is available without great difficulty in MATLAB software also due to important of obtaining functional inverse in wide range applications, we present ANFIS-based approach for the first time for obtaining inverse of mathematical functions. The proposed approach includes two main stages, in the first step; some limited points are sampled from desired function using Monte Carlo simulation and second step contains training of ANFIS system that input system is output points of function and ANFIS desired values are input values to function. One of notes in the proposed approach is calculation of inverse of time varying functions only with tuning of generated fuzzy model with the least square and the back propagation (BP) algorithms to form of hybrid learning algorithm which able into tracking of time varying functions. Experimental results over many functions show superiority of the proposed method relative MATLAB software. | en |
language | English | |
title | A Numerical Approach Based on Neuro-Fuzzy Systems for Obtaining Functional Inverse | en |
type | Conference Paper | |
contenttype | External Fulltext | |
subject keywords | Keywords: Functional inverse | en |
subject keywords | Adaptive Network based Fuzzy Inference System | en |
subject keywords | Monte Carlo method | en |
subject keywords | Hybrid learning | en |
subject keywords | MATLAB software | en |
identifier link | https://profdoc.um.ac.ir/paper-abstract-1010178.html | |
conference title | First Joint Congress on Fuzzy and Intelligent Systems Ferdowsi University of Mashhad, Iran 29-31 Aug 2007 | en |
identifier articleid | 1010178 |