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A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations

Mohammad Shazri Shahrir, N. Kumaresan, Kuru Ratnavelu, M. Z. M. Kamali
2014 Journal of Applied Mathematics  
A numerical solution of fuzzy quadratic Riccati differential equation is estimated using a proposed new approach for neural networks (NN).  ...  The results can be achieved by solving the 1st order nonlinear differential equation (ODE) that is found commonly in Riccati differential equation.  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper.  ... 
doi:10.1155/2014/605625 fatcat:4gorjehk4fc3zbcqka7krymfkq

Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem

Mehran Mazandarani, Ali Vahidian Kamyad
2013 Communications in nonlinear science & numerical simulation  
The modified fractional Euler method based on a generalized Taylor's formula and a modified trapezoidal rule is used for solving initial value problem under fuzzy fractional differential equation of order  ...  The Caputo-type fuzzy fractional derivatives are defined based on Hukuhara difference and strongly generalized fuzzy differentiability.  ...  The modified fractional Euler method based on a generalized Taylor's formula and a modified trapezoidal rule is used for solving initial value problem under fuzzy fractional differential equation of order  ... 
doi:10.1016/j.cnsns.2012.06.008 fatcat:2b74fwaolngepecavhutvf5ltu

Construction of Granular Derivatives and Solution of Granular Initial Value Problem [chapter]

Ildar Batyrshin
2004 Studies in Fuzziness and Soft Computing  
Each rule defines a granular differential and a rule base defines a granular derivative.  ...  The solution method is based on a granulation of the directions of the function change, on an extension of the initial value in directions and on a propagation of fuzzy constraints given in antecedent  ...  The research was partly supported by the RFBR Grant 02-01-00092.  ... 
doi:10.1007/978-3-540-39675-8_12 fatcat:lcncnbqbznambifnxzisotvc2m

Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods

Reza Ezzati, Soheil Salahshour, Ronald R. Yager, Morteza Khodabin
2014 Abstract and Applied Analysis  
The paper "Quadrature rules and iterative method for numerical solution of two-dimensional fuzzy integral equations" introduced some generalized quadrature rules to approximate two-dimensional, Henstock  ...  In fact, obtaining the exact solutions of such fuzzy integral equations is not possible in all cases because of the inherited restrictions form application of fuzzy concepts in these problems.  ...  Acknowledgments We thank all the authors and the honorable reviewers who contributed to this special issue. Reza Ezzati Soheil Salahshour Ronald R. Yager Morteza Khodabin  ... 
doi:10.1155/2014/147351 fatcat:5lkoyske2bdb5m5bgur7lh3ite

A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations

K. Ivaz, A. Khastan, Juan J. Nieto
2013 Abstract and Applied Analysis  
Numerical algorithms for solving first-order fuzzy differential equations and hybrid fuzzy differential equations have been investigated.  ...  Sufficient conditions for stability and convergence of the proposed algorithms are given, and their applicability is illustrated with some examples.  ...  This research was completed during the visit of the second author to the USC.  ... 
doi:10.1155/2013/735128 fatcat:qtfghleymbbnviuzbyfvk77zsu

P-Fuzzy Diffusion Equation Using Rules Base

Jefferson Leite, R. C. Bassanezi, Jackellyne Leite, Moiseis Cecconello
2014 Journal of Applied Mathematics  
We emphasize that the classical diffusion equation along with its analytical solution in no time was used for obtaining our solution.  ...  We propose a fuzzy system that simulates dispersion of individuals whose movements are described by diffusion.  ...  6 Journal of Applied Mathematics We show that it is possible to use a FRBS to model the behavior of the population density of a species when you want to take into account the diffusion of individuals.  ... 
doi:10.1155/2014/478241 fatcat:iffj3jkuczd6dkkctdhyktn27i

Fuzzy differential games for nonlinear stochastic systems: suboptimal approach

Bor-Sen Chen, Chung-Shi Tseng, Huey-Jian Uang
2002 IEEE transactions on fuzzy systems  
Based on the fuzzy model, a fuzzy controller is proposed to deal with the noncooperative differential game in the sense of Nash equilibrium strategies or with the cooperative game in the sense of Pareto-optimal  ...  Using a suboptimal approach, the outcomes of the fuzzy differential games for both the noncooperative and the cooperative cases are parameterized in terms of an eigenvalue problem.  ...  Based on the separation method, the solution of the observer-based fuzzy differential game problems is also parameterized in terms of an EVP.  ... 
doi:10.1109/91.995123 fatcat:amkctpoynratjirwo75whpnvgy

A Survey on Applications of Neuro-Fuzzy Models

Raheleh Jafari, Sina Razvarz, Alexander Gegov, Boriana Vatchova
2020 2020 IEEE 10th International Conference on Intelligent Systems (IS)  
In order to show the implementations of neuro-fuzzy in engineering the most recent researches in the area of neuro-fuzzy are covered in this paper.  ...  Artificial intelligence techniques such as neuro-fuzzy have been successfully applied in a wide variety of uses to be mentioned as economics, engineering, social science, and business.  ...  In [30] Bernstein neural network is used for finding the Z-number solutions of fuzzy differential equations.  ... 
doi:10.1109/is48319.2020.9200185 dblp:conf/is/JafariRGV20 fatcat:iges5qbqtvaithc4s4ap7gabqm

Unsupervised adaptive neural-fuzzy inference system for solving differential equations

Hadi Sadoghi Yazdi, Reza Pourreza
2010 Applied Soft Computing  
System performance is not limited by the order of the function since it is not represented in polynomial format.  ...  Real-time processing of instantaneous system input and output data's. This property helps using of this technique for many operational researches problems.  ...  They proposed a new solution method for the approximated solution of high order ordinary differential equations using innovative mathematical tools and neural-like systems of computation.  ... 
doi:10.1016/j.asoc.2009.07.006 fatcat:ok6nangklfcybgpnpfyzda5x54

Optimal control for a linear quadratic neuro Takagi--Sugeno fuzzy singular system using genetic programming

Kumaresan Nallasamy, Kuru Ratnavelu
2015 ANZIAM Journal  
To obtain the optimal control, the solution of a matrix Riccati differential equation is computed by solving a differential algebraic equation using the gp approach.  ...  The obtained solution is equivalent or very close to the exact solution of the problem.  ...  The funding of this work by the hir grant (account no:UM.C/625/1/HIR/MOHE /SC/13) and umrg grant (account no:RG099/10AFR) is gratefully acknowledged. References  ... 
doi:10.21914/anziamj.v55i0.7806 fatcat:3mdsopknqvgtzlzvlxybormyzi

Page 8090 of Mathematical Reviews Vol. , Issue 2000k [page]

2000 Mathematical Reviews  
=g,(A*A)A* ys, an a posteriori rule (the monotone error (ME) rule) of choos- ing the regularization parameter a = ame as the solution of the equation lye — yl] $9, (Ax?  ...  Fuzzy Systems 7 (1999), no. 6, 734-740] that under appropriate assumptions the attainable sets of these differential inclusions are a-levels of a fuzzy set, which consequently is a solution to the fuzzy  ... 

Granular Differentiability of Fuzzy-Number-Valued Functions

Mehran Mazandarani, Naser Pariz, Ali Vahidian Kamyad
2018 IEEE transactions on fuzzy systems  
The quality of obtaining system optimal input by solving the FPDEs system has been studied based on new definition of fuzzy functions differentiability.  ...  Determining of system optimal input with minimizing quadratic integral criterion by using Pontryagin Minimum Principle will make the Fuzzy Partial Differential Equations [FPDEs] system solve the problem  ...  The significant point is that these literatures have considered fuzzy differential equations description based on usual concept of differentiability of fuzzynumber-valued functions.  ... 
doi:10.1109/tfuzz.2017.2659731 fatcat:3y3xjorrzngmjndz5akrytzxqe

Processing curves pressure changes on the results of well test based on fuzzy regression trees

V. E. Lyalin, K. S. Chernyshev, I. M. Grigorev, M. V. Danilov
2017 Vibroengineering PROCEDIA  
This paper describes the generation of fuzzy inference system based on the CART (classification and regression tree) method.  ...  The problems arising in the use of finite-difference approximation in a situation when an analytical solution is very difficult or impossible to obtain are investigated.  ...  With minor changes, CART can be used to identify the structure of the fuzzy rules base.  ... 
doi:10.21595/vp.2017.18735 fatcat:uo2apkdpn5bhhkddokwh4pntmi

Solution Of Fuzzy Differential Equation Under Generalized Differentiability By Genetic Programming

N. Kumaresan, J. Kavikumar, M. Kumudthaa, Kuru Ratnavelu
2011 Zenodo  
In this paper, solution of fuzzy differential equation under general differentiability is obtained by genetic programming (GP).  ...  The obtained solution in this method is equivalent or very close to the exact solution of the problem. Accuracy of the solution to this problem is qualitatively better.  ...  In this paper, the genetic algorithm is used in GP to compute the solution of fuzzy differential equation.  ... 
doi:10.5281/zenodo.1074853 fatcat:2wrmt6pc5rapbgewllv6wyvqr4

A rough logic formalism for fuzzy controllers: A hard and soft computing view

T.Y. Lin
1996 International Journal of Approximate Reasoning  
Using some inference methods, each possible fuzzy world is transformed into a "virtual" trajectory or integral submanifold which is a candidate for the solution of the unconstructed system equations.  ...  The collection of all such possible fuzzy worlds is called a rough fuzzy model. It is a highly structured set, and can be treated as a differential geometric object.  ...  The author has benefited a great deal from BISC weekly seminars. His thanks also go to the generous sponsor EPRI (Electric Power Research Institute).  ... 
doi:10.1016/s0888-613x(96)00076-x fatcat:6roqxojnand6plzeciurvovgcq
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