• Title/Summary/Keyword: Membership function.

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AN INTERPOLATIVE FUZZY INFERENCE METHOD AND ITS APPLICATION

  • SHIMAKAWA, Manabu;MURAKAMI, Shuta
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.556-561
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    • 1998
  • This paper deals with our proposed fuzzy inference method, in which the fuzzy relation is represented by the membership functions of the antecedent and consequent parts, it is not used any fuzzy composition. The strong point of this method is that the membership function of an inferred conclusion has a simple shape and thus its meaning can be interpreted easily. Firstly, the proposed method is explained, and then it is applied to fuzzy modeling of distributed data.

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Vibration Diagnosis Method for Rotating Machinery Using Fuzzy Theory (퍼지이론을 이용한 회전기계의 이상진단법)

  • 전순기;양보석;김호종
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.144-147
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    • 1994
  • 본 연구에서는 진도우파수 성분과 진동진폭에 대한 이상진동의 멤버쉽함수(membership function)를 고려하여, 멤버쉽정도(membership grade)를 구하고, 퍼지연산에 의하여 회전동기와 비동기진동을 구별하는 1차 진단을 한후, 각각에 대한 진동진폭의 멤버쉽함수와 인과매트릭스(decision table)를 이용하여 보다 세분된 2차 진단을 수행하는 2단계의 진단수법을 제안한다. 그리고 실험장치에서 여러가지의 결함을 인위적으로 만들고, 이 계측자료와 관련자료를 이용하여 본 진단법의 유용성을 검토하였다.

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A use of fuzzy set in linear programming problems (선형문제에서의 퍼지집합 이용)

  • 전용진
    • Korean Management Science Review
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    • v.10 no.2
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    • pp.1-9
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    • 1993
  • This paper shows the application of fuzzy set and nonlinear membership function to linear programming problems in a fuzzy environment. In contrast to typical linear programming problems, the objectives and constraints of the problem in a fuzzy environment are defined imprecisely. This paper describes that fuzzy linear programming models can be formulated using the basic concepts of membership functions and fuzzy sets, and that they can be solved by quadratic programming methods. In a numerical example, a linear programming problem with two constraints and two decision variables is provided to illustrate the solution procedure.

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Evolutionary design of Takagi-Sugeno type fuzzy model for nonlinear system identification and time series

  • Kim, Min-Soeng;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.93.1-93
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    • 2001
  • An evolutionary approach for the design of Fuzzy Logic Systems(FLSs) is proposed. Membership functions(MFs) in Takagi-Sugeno type fuzzy logic system is optimized through evolutionary process. Output singleton values are obtained through pseudo-inverse method. The proposed technique is unique for that, to prevent overfilling phenomenon, limited-level RBF membership functions are used and the new fitness function is invented. To show the effectiveness of the proposed method, some simulations results on model identification are given.

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Desing of Genetic Algorithms Based Optimal Fuzzy Controller and Stabilization Control of the Inverted Pendulum System (유전알고리즘에 의한 최적 퍼지 제어기의 설계와 도립전자 시스템의 안정화 제어)

  • 박정훈;김태우;임영도;소명옥;이준탁
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.162-165
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    • 1996
  • In this paper, we proposed an optimization method of the membership function and the numbers of fuzzy rule base for the stabilization controller of the inverted pendulum system by genetic algorithm(GAs). Conventional methods to these problems need to an expert knowledge or human experience. The proposed genetic algorithm method will tune automatically the input-output membership parameters and will optimize their rule-base.

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Selection Method of Multiple Threshold Based on Probability Distribution function Using Fuzzy Clustering (퍼지 클러스터링을 이용한 확률분포함수 기반의 다중문턱값 선정법)

  • Kim, Gyung-Bum;Chung, Sung-Chong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.48-57
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    • 1999
  • Applications of thresholding technique are based on the assumption that object and background pixels in a digital image can be distinguished by their gray level values. For the segmentation of more complex images, it is necessary to resort to multiple threshold selection techniques. This paper describes a new method for multiple threshold selection of gray level images which are not clearly distinguishable from the background. The proposed method consists of three main stages. In the first stage, a probability distribution function for a gray level histogram of an image is derived. Cluster points are defined according to the probability distribution function. In the second stage, fuzzy partition matrix of the probability distribution function is generated through the fuzzy clustering process. Finally, elements of the fuzzy partition matrix are classified as clusters according to gray level values by using max-membership method. Boundary values of classified clusters are selected as multiple threshold. In order to verify the performance of the developed algorithm, automatic inspection process of ball grid array is presented.

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The wavelet neural network using fuzzy concept for the nonlinear function learning approximation (비선형 함수 학습 근사화를 위한 퍼지 개념을 이용한 웨이브렛 신경망)

  • Byun, Oh-Sung;Moon, Sung-Ryong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.5
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    • pp.397-404
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    • 2002
  • In this paper, it is proposed wavelet neural network using the fuzzy concept with the fuzzy and the multi-resolution analysis(MRA) of wavelet transform. Also, it wishes to improve any nonlinear function learning approximation using this system. Here, the fuzzy concept is used the bell type fuzzy membership function. And the composition of wavelet has a unit size. It is used the backpropagation algorithm for learning of wavelet neural network using the fuzzy concept. It is used the multi-resolution analysis of wavelet transform, the bell type fuzzy membership function and the backpropagation algorithm for learning. This structure is confirmed to be improved approximation performance than the conventional algorithms from one dimension and two dimensions function through simulation.

A Function Evaluation by Fuzzy Set in Value Engineering (가치공학(VE)에 있어 Fuzzy Set을 이용한 기능평가 방법)

  • 이근희;이동형
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.13 no.22
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    • pp.43-50
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    • 1990
  • In conventional function analysis, the function values are evaluated by experts, which are treated as exact values. For many cases, it is often difficult to evaluate the function values of a certain subject because the criteria of evaluation are very vague. This paper presents a new function evaluation method using fuzzy set. The purpose of the method is to minimize the difference among experts by recognizing an intersection point of membership function as a representative value.

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Characteristics of Gas Furnace Process by Means of Partition of Input Spaces in Trapezoid-type Function (사다리꼴형 함수의 입력 공간분할에 의한 가스로공정의 특성분석)

  • Lee, Dong-Yoon
    • Journal of Digital Convergence
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    • v.12 no.4
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    • pp.277-283
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    • 2014
  • Fuzzy modeling is generally using the given data and the fuzzy rules are established by the input variables and the space division by selecting the input variable and dividing the input space for each input variables. The premise part of the fuzzy rule is presented by selection of the input variables, the number of space division and membership functions and in this paper the consequent part of the fuzzy rule is identified by polynomial functions in the form of linear inference and modified quadratic. Parameter identification in the premise part devides input space Min-Max method using the minimum and maximum values of input data set and C-Means clustering algorithm forming input data into the hard clusters. The identification of the consequence parameters, namely polynomial coefficients, of each rule are carried out by the standard least square method. In this paper, membership function of the premise part is dividing input space by using trapezoid-type membership function and by using gas furnace process which is widely used in nonlinear process we evaluate the performance.

A Study on the Fuzzy Control of Series Wound Motor Drive Systems uUing Genetic Algorithms (유전알고리즘을 이용한 직류직권모터 시스템의 퍼지제어에 관한 연구)

  • 김종건;배종일;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.60-64
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    • 1997
  • Designing fuzzy controller, there are difficulties that we have to determine fuzzy rules and shapes of membership functions which are usually obtained by the amount of trial-and-error or experiences from the experts. In this paper, to overcome these defects, genetic algorithms which is probabilistic search method based on genetics and evolution theory are used to determine fuzzy rules and fuzzy membership functions. We design a series compensation fuzzy controller, then determine basic structures, input-output variables, fuzzy inference methods and defuzzification methods for fuzzy controllers. We develop genetic algorithms which may search more accurate optimal solutions. For evaluating the fuzzy controller performances through experiments upon an actual system, we design the fuzzy controllers for the speed control of a DC series motor with nonlinear characteristics and show good output responses to reference inputs.

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