• Title/Summary/Keyword: Fuzzy Convergence

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Design of Fuzzy Models with the Aid of an Improved Differential Evolution (개선된 미분 진화 알고리즘에 의한 퍼지 모델의 설계)

  • Kim, Hyun-Ki;Oh, Sung-Kwun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.4
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    • pp.399-404
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    • 2012
  • Evolutionary algorithms such as genetic algorithm (GA) have been proven their effectiveness when applying to the design of fuzzy models. However, it tends to suffer from computationally expensWive due to the slow convergence speed. In this study, we propose an approach to develop fuzzy models by means of an improved differential evolution (IDE) to overcome this limitation. The improved differential evolution (IDE) is realized by means of an orthogonal approach and differential evolution. With the invoking orthogonal method, the IDE can search the solution space more efficiently. In the design of fuzzy models, we concern two mechanisms, namely structure identification and parameter estimation. The structure identification is supported by the IDE and C-Means while the parameter estimation is realized via IDE and a standard least square error method. Experimental studies demonstrate that the proposed model leads to improved performance. The proposed model is also contrasted with the quality of some fuzzy models already reported in the literature.

A modified strategy for DNA coding based genetic algorithm and its experiment

  • Kyungwon Jang;Taechon Ahn;Lee, Dongyoon;Kim, Seonik;Jinhyun Kang
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.70.1-70
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    • 2002
  • In the fuzzy applications and theories, it is very important to consider how to design the optimal fuzzy model from short training data, in order to construct the reasonable fuzzy model for identifying the practical process. There are several concerns to be confirmed for efficient fuzzy model design. One of concern is the optimization problem of the fuzzy model. In various applications, the genetic algorithm is widely applied to obtain optimal fuzzy model and other cases that adopt evolutionary mechanism of the nature. If we use natural selection and multiplication operation of the genetic algorithm, early convergence to local minimum can be occurred. In other word, we can find only optimum...

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Advance Neuro-Fuzzy Modeling Using a New Clustering Algorithm (새로운 클러스터링 알고리듬을 적용한 향상된 뉴로-퍼지 모델링)

  • 김승석;김성수;유정웅
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.7
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    • pp.536-543
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    • 2004
  • In this paper, we proposed a new method of modeling a neuro-fuzzy system using a hybrid clustering algorithm. The initial parameters and the number of clusters of the proposed system are optimally chosen simultaneously with respect to the process of regression, which is a unique characteristics of the proposed system. The proposed algorithm presented in this work improves the overall performance of the proposed a neuro-fuzzy system by choosing a proper number of clusters adaptively according the characteristics of given data. The process of clustering is performed by deciding on the number of classes, which yields the property of convergence of the system. In experiments, the superiority of the proposed neuro-fuzzy system is demonstrated, especially the process of optimizing parameters and clustering of learning speed.

Self-Directed Learning Evaluation Using Fuzzy Grade Sheets

  • Kim, Kwang-Baek;Kim, Byung-Joo;Cho, Jae-Hyun
    • Journal of information and communication convergence engineering
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    • v.2 no.2
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    • pp.97-101
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    • 2004
  • This paper is about the use of existing evaluation methods, which evaluate learning determined by the score of an exam, which is either a multiple-choice type or single choice type question. These scores don't show the objective evaluations that cause some negative opinions about the scores. In this paper, we propose that the evaluation of the methods of self-directed learning use the triangle-type function of the fuzzy theory so that the learner can objectively evaluate their own learning ability. The proposed method classifies the result of learning into three fuzzy grades to calculate membership, and evaluate the result of an exam according to the final fuzzy grade degree as applied to the fuzzy grade sheets.

A PERTURBED ALGORITHM OF GENERALIZED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • East Asian mathematical journal
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    • v.17 no.1
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    • pp.57-70
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    • 2001
  • In this paper, we introduce a class of generalized quasivariational inclusions for fuzzy mappings and show its equivalence with a class of fixed point problems. Using this equivalence, we develop the Mann and Ishikawa type perturbed iterative algorithms for this class of generalized quasivariational inclusions. Further, we prove the existence of solutions for the class of generalized quasivariational inclusions and discuss the convergence criteria for the perturbed algorithms.

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AN ITERATIVE ALGORITHM FOR EXTENDED GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS FOR RANDOM FUZZY MAPPINGS

  • Dar, A.H.;Sarfaraz, Mohd.;Ahmad, M.K.
    • Korean Journal of Mathematics
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    • v.26 no.1
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    • pp.129-141
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    • 2018
  • In this slush pile, we introduce a new kind of variational inclusions problem stated as random extended generalized nonlinear variational inclusions for random fuzzy mappings. We construct an iterative scheme for the this variational inclusion problem and also discuss the existence of random solutions for the problem. Further, we show that the approximate solutions achieved by the generated scheme converge to the required solution of the problem.

A LMS Algorithm with Fuzzy Variable Step Size (퍼지 가변 스텝 크기 LMS 알고리즘)

  • Lee, Chul-Heu;Kim, Koan-Jun
    • Journal of Industrial Technology
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    • v.13
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    • pp.33-41
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    • 1993
  • In this paper, a new LMS algorithm with a fuzzy variable step size (FVS LMS) is presented. The change of step size ${\mu}$, at each iteration which is increases or decreases according to the misadaptation degree, is computed by a proportional fuzzy logic controller. As a result the algorithm has very good convergence speed and low steady-state misadjustment. As a measure of the misadaptation degree, the norm of the cross correlation between the estimation error and input signal is used. Simulation results are presented to compare the performance of the FVSS LMS algorithm with the normalized LMS algorithm.

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Robust Sliding Mode Friction Control with Adaptive Friction Observer and Recurrent Fuzzy Neural Network

  • Shin, Kyoo-Jae;Han, Seong-I.
    • Journal of information and communication convergence engineering
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    • v.7 no.2
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    • pp.125-130
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    • 2009
  • A robust friction compensation scheme is proposed in this paper. The recurrent fuzzy neural network and friction parameter observer are developed with sliding mode based controller in order to obtain precise position tracking performance. For a servo system with incomplete identified friction parameters, a proposed control scheme provides a satisfactory result via some experiment.

GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Al Said, Elsa-A.;Noor, Muhammad-Aslam
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.659-668
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    • 1998
  • In this paper we introduce and study a new class of gen-eralized mildly nonlinear complementarity problems for fuzzy map-pings. We use the change of variabes technique to establish the equivalence between the generalized mildly nonlinear complementar-ity problems and the Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithm for solv-ing the generalized mildly nonlinear complemetarity problems.

ITERATIVE ALGORITHMS FOR A SYSTEM OF RANDOM NONLINEAR EQUATIONS WITH FUZZY MAPPINGS

  • Kim, Jong Kyu;Salahuddin, Salahuddin
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.265-285
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    • 2018
  • The main purpose of this paper, by using the resolvent operator technique associated with randomly (A, ${\eta}$, m)-accretive operator is to establish an existence and convergence theorem for a class of system of random nonlinear equations with fuzzy mappings in Banach spaces. Our works are improvements and generalizations of the corresponding well-known results.