• Title/Summary/Keyword: Polynomial fuzzy systems

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Design of GA-based Fuzzy Polynomial Neural Networks Architecture (유전자 기반 퍼지다항식 뉴럴네트워크 구조의 설계)

  • 박병준;오성권
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.442-445
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    • 2004
  • 본 논문은 유전자 기반 퍼지다항식 뉴럴네트워크(Genetic based fuzzy polynomial neural networks: gFPNN)를 제안한다. gFPNN 구조는 퍼지집합을 기반으로 설계되며, 유전자 알고리즘에 의해 구조 및 파라미터를 최적화한 구조이다. 퍼지집합을 기반으로 설계되어진 퍼지뉴럴네트워크는 간략추론 구조와 선형추론 구조로 설계된다. 본 논문에서는 간략추론 및 선형추론 구조를 통합 및 확장한 퍼지다항식 뉴럴네트워크를 설계한다. 이 구조는 연결가중치를 이용하여 회귀다항식을 네트워크 구조로 표현하며, 간략추론(Type 0), 선형추론(Type 1), 회귀다항식추론(Type 2)을 모두 포함한다. 또한 퍼지규칙 후반부의 다항식 차수를 각 규칙에 대해 다르게 선택할 수 있으며, 일률적인 형식의 구조를 벗어나 주어진 시스템의 특성에 따라 유연한 구조를 설계할 수 있도록 한다. 여기에 더하여, 네트워크 구조와 파라미터 동조에 유전자 알고리즘을 적용하며, 구조와 파라미터 동정에 대한 효율적인 방법을 논의한다. 제안된 모델의 평가를 위해 수치예제를 이용한다.

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Optimization of GA-based Advanced Self-Organizing Fuzzy Polynomial Neural Networks (GA 기반 고급 자기구성 퍼지 다항식 뉴럴 네트워크의 최적화)

  • 박호성;박건준;오성권
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.288-291
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    • 2004
  • 기존의 SOFPNN은 데이터 수가 적고 비선형 요소가 많은 시스템에 대한 체계적이고 효율적인 최적 모델 을 구축할 수 있었으며 각 층 노드의 선택 입력을 변화시킴으로써 네트워크 구조 전체의 적응능력을 향상 시켰다. SOFPNN의 구조는 퍼지 다항식 뉴론(FPN)들로 구성되어 있으며, 층이 진행하는 동안 모델 스스로 노드의 선택과 제거를 통해 최적의 네트워크 구조를 생성할 수 있는 유연성을 가지고 있다. 그러나, 노드의 입력변수의 수와 규칙 후반부 다항식 차수 그리고 입력변수는 설계자의 경험 또는 반복적인 학습을 통해 선호된 네트워크 구조를 선택하였으나, 최적의 네트워크 구조를 구축하는데는 어려옴이 내재되어 있었다. 본 논문에서는 자기구성 퍼지 다항식 뉴럴네트워크(Self-Organizing Fuzzy Polynomial Neural Networks: SOFPNN)을 최적화시키기 위해 유전자 알고리즘을 이용하여 자기구성 퍼지 다항식 뉴럴 네트워크의 입력변수의 수와 이에 해당되는 입력변수 그리고 규칙 후반부 다항식의 차수를 탐색하여 최적 의 자기구성 퍼지 다항식 뉴럴 네트워크를 구축한다. 따라서 모델 구축에 있어서 유연성과 정확성을 가지며 객관적이고 좀 더 정확한 예측 능력을 가진 SOFPNN 모델 구조를 구축할 수가 있다.

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Optimized Identification of Genetic Algorithms based FPNN and Its Application to Nonlinear Data (진화 알고리즘 기반 FPNN의 최적 동정 및 비선형 데이터로의 응용)

  • Lee In-Tae;Lee Dong-Yoon;Kim Hyun-Ki;Oh Sung-Kwun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.04a
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    • pp.305-308
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    • 2005
  • 본 논문은 유전자 알고리즘 기반 퍼지 다항식 뉴럴네트워크(Genetic Algorithm-based Fuzzy Polynomial Neural Networks ; GAs-based FPNN)를 이용하여 비선형 데이터의 최적화 추론 알고리즘을 제안한다. FPNN의 각 노드는 GMDH와 퍼지규칙을 기초로 만들었다. FPNN의 각 노드는 퍼지 다항식 뉴론(Fuzzy Polynomial Neuron : FPN)이라고 표현하다. 제안된 모델은 구조 선택에 있어서 유전자 알고리즘(Genetic Algorithms : GAs)을 이용하였다. 유전자 알고리즘을 사용하여 입력의 차수와 입력의 개수 그리고 후반부 추론의 형태를 최적 선택하였다. 비선형 데이터에 대한 모델 설계를 위해 최적화 알고리즘인 유전자 알고리즘 기반 FPNN 모델 설계가 유용하고 효과적임을 보인다.

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A Fuzzy Model on the PNN Structure and its Applications

  • Sang, R.S.;Oh, Sungkwun;Ahn, T.C.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.259-262
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    • 1997
  • In this paper, a fuzzy model based on the polynomial Neural Network(PNN) structure is proposed to estimate the emission pattern for air pollutant in power plants. The new algorithm uses PNN algorithm based on Group Method of Data Handling (GMDH) algorithm and fuzzy reasoning in order to identify the premise structure and parameter of fuzzy implications rules, and the least square method in order to identify the optimal consequence parameters. Both time series data for the gas furnace and data for the NOx emission process of gas turbine power plants are used for the purpose of evaluating the performance of the fuzzy model. The simulation results show that the proposed technique can produce the optimal fuzzy model with higher accuracy anhd feasibility than other works achieved previously.

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The Implementation of the structure and algorithm of Fuzzy Self-organizing Neural Networks(FSONN) based on FNN (FNN에 기초한 Fuzzy Self-organizing Neural Network(FSONN)의 구조와 알고리즘의 구현)

  • 김동원;박병준;오성권
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.114-117
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    • 2000
  • In this paper, Fuzzy Self-organizing Neural Networks(FSONN) based on Fuzzy Neural Networks(FNN) is proposed to overcome some problems, such as the conflict between ovefitting and good generation, and low reliability. The proposed FSONN consists of FNN and SONN. Here, FNN is used as the premise part of FSONN and SONN is the consequnt part of FSONN. The FUN plays the preceding role of FSONN. For the fuzzy reasoning and learning method in FNN, Simplified fuzzy reasoning and backpropagation learning rule are utilized. The number of layers and the number of nodes in each layers of SONN that is based on the GMDH method are not predetermined, unlike in the case of the popular multi layer perceptron structure and can be generated. Also the partial descriptions of nodes can use various forms such as linear, modified quadratic, cubic, high-order polynomial and so on. In this paper, the optimal design procedure of the proposed FSONN is shown in each step and performance index related to approximation and generalization capabilities of model is evaluated and also discussed.

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On the Design of Simple-structured Adaptive Fuzzy Logic Controllers

  • Park, Byung-Jae;Kwak, Seong-Woo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.93-99
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    • 2003
  • One of the methods to simplify the design process for a fuzzy logic controller (FLC) is to reduce the number of variables representing the rule antecedent. This in turn decreases the number of control rules, membership functions, and scaling factors. For this purpose, we designed a single-input FLC that uses a sole fuzzy input variable. However, it is still deficient in the capability of adapting some varying operating conditions although it provides a simple method for the design of FLC's. We here design two simple-structured adaptive fuzzy logic controllers (SAFLC's) using the concept of the single-input FLC. Linguistic fuzzy control rules are directly incorporated into the controller by a fuzzy basis function. Thus some parameters of the membership functions characterizing the linguistic terms of the fuzzy control rules can be adjusted by an adaptive law. In our controllers, center values of fuzzy sets are directly adjusted by an adaptive law. Two SAFLC's are designed. One of them uses a Hurwitz error dynamics and the other a switching function of the sliding mode control (SMC). We also prove that 1) their closed-loop systems are globally stable in the sense that all signals involved are bounded and 2) their tracking errors converge to zero asymptotically. We perform computer simulations using a nonlinear plant.

A study on the novel Neuro-fuzzy network for nonlinear modeling (비선형 모델링에 대한 새로운 뉴로-퍼지 네트워크 연구)

  • Kim, Dong-Won;Park, Byoung-Jun;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.791-793
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    • 2000
  • The fuzzy inference system is a popular computing framework based on the concepts of fuzzy set theory, fuzzy if-then rules, and fuzzy reasoning. The advantage of fuzzy approach over traditional ones lies on the fact that fuzzy system does not require a detail mathematical description of the system while modeling. As modeling method. the Group Method of Data Handling(GMDH) is introduced by A.G. Ivakhnenko GMDH is an analysis technique for identifying nonlinear relationships between system's inputs and output. We study a Novel Neuro-Fuzzy Network (NNFN) in this paper. NNFN is a network resulting from the combination of a fuzzy inference system and polynomial neural network(PNN) (7) which is advanced structure of GMDH. Simulation involve a series of synthetic as well as experimental data used across various neurofuzzy systems.

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Forecasting Ozone Concentration with Decision Support System (의사 결정 구조에 의한 오존 농도예측)

  • 김재용;김태헌;김성신;이종범;김신도;김용국
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.368-368
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    • 2000
  • In this paper, we present forecasting ozone concentration with decision support system. Since the mechanism of ozone concentration is highly complex, nonlinear, and nonstationary, modeling of ozone prediction system has many problems and results of prediction are not good performance so far. Forecasting ozone concentration with decision support system is acquired to information from human knowledge and experiment data. Fuzzy clustering method uses the acquisition and dynamic polynomial neural network gives us a good performance for ozone prediction with ability of superior data approximation and self-organization.

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Fuzzy polynomial neural network model and its application to wastewater treatment system

  • Oh, Sung-Kwun;Choi, Jae-Ho;Ahn, Tae-Chon;Hwang, Hyung-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.185-188
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    • 1996
  • In this paper, a fuzzy PNN algorithm is proposed to estimate the structure and parameters of fuzzy model, using the PNN based on GMDH algorithm. New algorithm uses PNN algorithm and fuzzy reasoning in order to identify the premise structure and parameter of fuzzy implications rules, and the leastsquare method in order to identify the optimal consequence parameters. Both time series data for gas furnace and data for wastewater treatment process are used for the purpose of evaluating the performance of the fuzzy PNN. The results show that the proposed technique can produce the fuzzy model with higher accuracy than other works achieved previously.

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A Novel Key Sharing Fuzzy Vault Scheme

  • You, Lin;Wang, Yuna;Chen, Yulei;Deng, Qi;Zhang, Huanhuan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.9
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    • pp.4585-4602
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    • 2016
  • A novel key sharing fuzzy vault scheme is proposed based on the classic fuzzy vault and the Diffie-Hellman key exchange protocol. In this proposed scheme, two users cooperatively build their fuzzy vault for their shared key using their own biometrics. Either of the users can use their own biometrics to unlock the fuzzy vault with the help of the other to get their shared key without risk of disclosure of their biometrics. Thus, they can unlock the fuzzy vault cooperatively. The security of our scheme is based on the security of the classic fuzzy vault scheme, one-way hash function and the discrete logarithm problem in a given finite group.