• 제목/요약/키워드: Fuzzy Input Partition

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입력 공간 분할에 따른 뉴로-퍼지 시스템과 응용 (Neuro-Fuzzy System and Its Application by Input Space Partition Methods)

  • 곽근창;유정웅
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.433-439
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    • 1998
  • In this paper, we present an approach to the structure identification based on the input space partition methods and to the parameter identification by hybrid learning method in neuro-fuzzy system. The structure identification can automatically estimate the number of membership function and fuzzy rule using grid partition, tree partition, scatter partition from numerical input-output data. And then the parameter identification is carried out by the hybrid learning scheme using back-propagation and least squares estimate. Finally, we sill show its usefulness for neuro-fuzzy modeling to truck backer-upper control.

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두 점과 분할 카디날리티가 주어진 퍼지 균등화조건을 갖는 퍼지분할 (Fuzzy Partitioning with Fuzzy Equalization Given Two Points and Partition Cardinality)

  • 김경택;김종수;강성열
    • 산업경영시스템학회지
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    • 제31권4호
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    • pp.140-145
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    • 2008
  • Fuzzy partition is a conceptual vehicle that encapsulates data into information granules. Fuzzy equalization concerns a process of building information granules that are semantically and experimentally meaningful. A few algorithms generating fuzzy partitions with fuzzy equalization have been suggested. Simulations and experiments have showed that fuzzy partition representing more characteristics of given input distribution usually produces meaningful results. In this paper, given two points and cardinality of fuzzy partition, we prove that it is not true that there always exists a fuzzy partition with fuzzy equalization in which two of points having peaks fall on the given two points. Then, we establish an algorithm that minimizes the maximum distance between given two points and adjacent points having peaks in the partition. A numerical example is presented to show the validity of the suggested algorithm.

Design of Hard Partition-based Non-Fuzzy Neural Networks

  • Park, Keon-Jun;Kwon, Jae-Hyun;Kim, Yong-Kab
    • International journal of advanced smart convergence
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    • 제1권2호
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    • pp.30-33
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    • 2012
  • This paper propose a new design of fuzzy neural networks based on hard partition to generate the rules of the networks. For this we use hard c-means (HCM) clustering algorithm. The premise part of the rules of the proposed networks is realized with the aid of the hard partition of input space generated by HCM clustering algorithm. The consequence part of the rule is represented by polynomial functions. And the coefficients of the polynomial functions are learned by BP algorithm. The number of the hard partition of input space equals the number of clusters and the individual partitioned spaces indicate the rules of the networks. Due to these characteristics, we may alleviate the problem of the curse of dimensionality. The proposed networks are evaluated with the use of numerical experimentation.

비선형 공정에서의 입력 공간 분할에 의한 퍼지 추론 시스템의 특성 분석 (Characteristics of Fuzzy Inference Systems by Means of Partition of Input Spaces in Nonlinear Process)

  • 박건준;이동윤
    • 한국콘텐츠학회논문지
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    • 제11권3호
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    • pp.48-55
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    • 2011
  • 본 논문은 비선형 공정의 퍼지 모델을 동정하기 위해 전체 입력의 공간 분할 및 퍼지 추론 방법에 따른 퍼지 추론 시스템의 입출력 특성을 분석하며, 퍼지 모델의 입력 변수와 퍼지 입력 공간 분할 및 후반부 다항식 함수에 의한 구조 동정과 파라미터 동정을 통해 비선형 공정을 표현한다. 퍼지 규칙에서 전반부 파라미터의 동정에는 입출력 데이터의 최소 값과 최대 값을 이용하는 최소-최대 방법 및 입출력 데이터를 군집으로 형성하는 C-Means 클러스터링 알고리즘을 사용하여 입력 공간을 분할한다. 또한 전반부 멤버쉽 함수는 삼각형 멤버쉽 함수를 사용하여 입력 공간을 형성한다. 후반부 동정에서 퍼지 추론 방법은 간략 추론 및 선형 추론에 의해 시스템을 표현한다. 또한, 각 규칙의 후반부 파라미터들, 즉 후반부 다항식의 계수를 동정하기 위해 표준 최소자승법을 사용한다. 마지막으로, 비선형 공정으로는 널리 이용되는 가스로 데이터를 사용하며 이 공정에 대해 성능을 평가한다.

Type-2 FCM 기반 퍼지 추론 시스템의 설계 및 최적화 (Design of Type-2 FCM-based Fuzzy Inference Systems and Its Optimization)

  • 박건준;김용갑;오성권
    • 전기학회논문지
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    • 제60권11호
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    • pp.2157-2164
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    • 2011
  • In this paper, we introduce a new category of fuzzy inference system based on Type-2 fuzzy c-means clustering algorithm (T2FCM-based FIS). The premise part of the rules of the proposed model is realized with the aid of the scatter partition of input space generated by Type-2 FCM clustering algorithm. The number of the partition of input space is composed of the number of clusters and the individual partitioned spaces describe the fuzzy rules. Due to these characteristics, we can alleviate the problem of the curse of dimensionality. The consequence part of the rule is represented by polynomial functions with interval sets. To determine the structure and estimate the values of the parameters of Type-2 FCM-based FIS we consider the successive tuning method with generation-based evolution by means of real-coded genetic algorithms. The proposed model is evaluated with the use of numerical experimentation.

퍼지뉴럴 시스템을 위한 초기 입력공간분할의 최적화 : Measure of Fuzziness (The Optimal Partition of Initial Input Space for Fuzzy Neural System : Measure of Fuzziness)

  • 백덕수;박인규
    • 대한전자공학회논문지TE
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    • 제39권3호
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    • pp.97-104
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    • 2002
  • 이 논문에서는 퍼지뉴럴 시스템을 위하여 measure of fuzziness에 의한 입력공간의 분할을 최적화하는 방법을 제안한다. 이에 따라 최적화된 퍼지 부공간에 대하여 퍼지 제어규칙을 자동으로 생성하는 방법을 제안한다. 또한 시계열 예측 문제에서 입력패턴의 간격을 조정하여 그 성능을 검증한다. 이 방법은 샤논 함수와 index of fuzziness를 이용하여 입력공간을 분할하고, 분할된 부 공간에 대해 입력 데이터와 부합할 수 있는 각각의 규칙에 등급을 정하여 불필요한 제어규칙을 제거하여 최적의 규칙베이스를 구성하도록 한다. 적용되는 퍼지 신경망의 기본적인 구조는 퍼지 제어기의 규칙베이스와 추론의 과정을 신경회로망을 이용하여 구현하며 퍼지 제어규칙의 매개변수들은 최대 급경사 강하법에 의해 적응되어진다. 제안된 알고리즘을 토대로 여덟 가지의 입력패턴에 대하여 추론한 결과 입력공간의 최적분할에 의하여 수렴과정에서 초기에 오차(RMSE)가 빠르게 수렴함을 알 수 있었다.

Fuzzy modeling using transformed input space partitioning

  • You, Je-Young;Lee, Sang-Chul;Won, Sang-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.494-498
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    • 1996
  • Three fuzzy input space partitoining methods, which are grid, tree, and scatter method, are mainly used until now. These partition methods represent good performance in the modeling of the linear system and nonlinear system with independent modeling variables. But in the case of the nonlinear system with the coupled modeling variables, there should be many fuzzy rules for acquiring the exact fuzzy model. In this paper, it shows that the fuzzy model is acquired using transformed modeling vector by linear transformation of the modeling vector.

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Nonlinear Characteristics of Fuzzy Scatter Partition-Based Fuzzy Inference System

  • Park, Keon-Jun;Huang, Wei;Yu, C.;Kim, Yong K.
    • International journal of advanced smart convergence
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    • 제2권1호
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    • pp.12-17
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    • 2013
  • This paper introduces the fuzzy scatter partition-based fuzzy inference system to construct the model for nonlinear process to analyze nonlinear characteristics. The fuzzy rules of fuzzy inference systems are generated by partitioning the input space in the scatter form using Fuzzy C-Means (FCM) clustering algorithm. The premise parameters of the rules are determined by membership matrix by means of FCM clustering algorithm. The consequence part of the rules is represented in the form of polynomial functions and the parameters of the consequence part are estimated by least square errors. The proposed model is evaluated with the performance using the data widely used in nonlinear process. Finally, this paper shows that the proposed model has the good result for high-dimension nonlinear process.

An alternative architecture for application-driven fuzzy systems

  • Pedrycz, W.;de Oliveira, J. Valente
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.985-988
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    • 1993
  • An alternative approach to the design of application-driven fuzzy systems is proposed. A broad class of fuzzy systems applications requires a certain fuzzy partition of the input space while it demands for simple numerical quantities. For this class, a dedicated fuzzy system archictecture is presented and a design strategy is proposed. Both the single-input/single-output and multi-input/multi-output cases are considered. Numerical analysis are complete illustrating several aspects of the proposed framework.

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퍼지 입력 공간 분할애 따른 퍼지 추론과 이의 최적화 (Fuzzy inference system and Its Optimization according to partition of Fuzzy input space)

  • 박병준;윤기찬;오성권;장성환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.657-659
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    • 1998
  • In order to optimize fuzzy modeling of nonlinear system, we proposed a optimal fuzzy model according to the characteristic of I/O relationship, HCM method, the genetic algorithm, and the objective function with weighting factor. A conventional fuzzy model has difficulty in definition of membership function. In order to solve its problem, the premise structure of the proposed fuzzy model is selected by both the partition of input space and the analysis of input-output relationship using the clustering algorithm. The premise parameters of the fuzzy model are optimized respectively by the genetic algorithm and the consequence parameters of the fuzzy model are identified by the standard least square method. Also, the objective function with weighting factor is proposed to achieve a balance between the performance results for the training and testing data.

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