## A New Distance on Generalized Fuzzy Numbers and a Glimpse on Their Properties

May 1, 2020

Dr. Amirfakhrian Publications Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2017, Warsaw, Poland. Normalization is the dominant but inexact method to handle any nonnormal fuzzy sets data. This stems from the fact that normalization ignores some parts of such data in order to prepare them for

## A New Approach to Locate the Hippocampus Nest in Brain MR Images

May 1, 2020

Dr. Amirfakhrian Publications 3rd International Conference on Pattern Recognition and Image Analysis (IPRIA 2017) (2017) Shahrekord, Iran.  (The Best Paper Award) Hippocampal shrinkage is a main biomarker for thedetection of Alzheimer’s disease and Temporal lobe Epilepsy (TLE). Mostly, developing methods for the hippocampus segmentation are unable to initialize automatically due

## A New Distance on a Specific Subset of Fuzzy Sets

May 1, 2020

Dr. Amirfakhrian Publications 8th International Joint Conference on Computational Intelligence (IJCCI 2016) –  FCTA, (2016), Porto, Portugal. In this paper, first we propose a definition for fuzzy LR sets and then we present a method to assigning distance between these form of fuzzy sets. We show that this distance is

## Fuzzy Function Approximation by Using Radial Basis Function Interpolation

May 1, 2020

Dr. Amirfakhrian Publications 4th Joint Congress on Fuzzy and Intelligent Systems (CFIS), (2015) Zahedan, Iran. In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function \$tilde{f}:Rrightarrow mathcal{F}(R)\$,on a discrete point set \$X={x_1,x_2,ldots,x_n}\$, by a fuzzy valued function \$tilde{S}\$. RBFs are based on linear combinations of

## Solving the Heat Partial Differential Equation by using Bivariate B-splines and Tensor Product

May 1, 2020

Dr. Amirfakhrian Publications 44th Annual Iranian Mathematics Conference, (AIMC44), (2013) Ferdowsi University of Mashhad, Iran. This paper is in Persian. Share on : @Copyright 2020  Dr. Amirfakhrian  | Powered by Applied Plan

## Application of Homotopy Perturbation Method to Fuzzy Nonlinear Klein-Gordon Equation with Variable Coefficients

May 1, 2020

Dr. Amirfakhrian Publications 13th Iranian Conference on Fuzzy Systems (IFSC), (2013) Qazvin, Iran. In this paper, the author will first propose fuzzy nonlinear Klein-Gordon equation and then an application of He’s homotopy perturbation method is applied to solve this equation via the same strategy as Buckley- Feuring solution and Seikkala

## Solving Fredholm Integral Equations by Discrete Least Squares Method

May 1, 2020

Dr. Amirfakhrian Publications 44th Annual Iranian Mathematics Conference, (AIMC44) (2013), Ferdowsi University of Mashhad, Iran. In this paper we use Discrete Least Squares Method (DLSM )to solve Fredholm Integral Equations. In this method we take \$n+1\$ distinct points on interval \$[a,b]\$ and we apply discrete norm 2 for the residual

## Image Reconstruction by Moving Least Squares

May 1, 2020

Dr. Amirfakhrian Publications 1st Seminar on Harmonic Analysis and Applications, (2013) Isfahan University of Technology, Iran. In this work we represent some useful results of the moving least squares method and apply them to  reconstruct images and we obtain the approximation of an image by this method. Share on :

May 1, 2020

## A New Approach of a Variational Iteration Method for Nonlinear Partial Differential Equations with Exponential Nonlinearity

May 1, 2020

Dr. Amirfakhrian Publications 41st Annual Iranian Mathematics Conference  (AIMC41), (2010), Urmia, Iran. In this work, new approach of the variational iteration method by using \$r\$ terms of Taylor’s series is applied for solving nonlinear partial differential equations with exponential non-linearity. Numerical results are revealing its effectiveness and simplicity. Share on