• 제목/요약/키워드: Fuzzy Analysis

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Fuzzy Set Theory와 Monte Carlo Simulation을 이용한 암반사면의 파괴확률 산정기법 연구 (The Evaluation of Failure Probability for Rock Slope Based on Fuzzy Set Theory and Monte Carlo Simulation)

  • 박혁진
    • 한국지반공학회논문집
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    • 제23권11호
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    • pp.109-117
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    • 2007
  • 암반사면의 안정성 해석에는 다양한 원인에 의하여 불확실성이 개입하게 되며 경우에 따라 이러한 불확실성이 암반사면의 붕괴원인이 되기도 한다. 따라서 1980년대 이후부터 이러한 불확실성에 대한 중요성이 인식되었고 이를 정량화하기 위한 기법의 하나로 확률론적 해석기법이 제안되었다. 그러나 확률론적 해석기법은 불확실성에 대한 정보를 충분하게 획득할 수 있어 확률변수(random variable)치 확률특성을 정확하게 파악할 수 있다는 가정 하에 그 적용이 가능하다. 또한 불확실성중 공간적인 변동성이나 불균질성에 의한 불확실성은 확률론에 의해 쉽게 정량화될 수 있으나 측정오차나 측정수량의 부족 등에 의해 기인하는 불확실성은 확률론에 의해 다루기 어려운 것이 사실이다. 따라서 이러한 한계점을 보완하기 위해 퍼지집합이론(fuzzy set theory)의 활용이 제안되었다. 본 연구에서는 확률변수를 퍼지 숫자(fuzzy number)로 고려하여 퍼지집합이론을 활용하였고 이를 해석하기 위한 방법으로 몬테카를로기법(Monte Carlo simulation) 기법을 제안하였다. 이것은 퍼지숫자(fuzzy number)를 분석하기 위해 꼭지점(vertex) 기법이나 점추정법(point estimate method, PEM), 일계이차모멘트법(first order second moment method, FOSM)의 기법을 활용하였던 기존의 방법이 대표값만을 이용했던 단점을 보완할 수 있을 것으로 보인다. 제안된 기법의 적용성을 판단하기위해 현장을 선정하여 적용해 보았다. 결정론적 해석 결과 절리군 2는 안전한 것으로 절리군 4는 불안정한 것으로 해석되었다. 반면 확률론적 해석 결과 절리군 2의 경우 29.3%의 파괴확률을, 절리군 4의 경우 73.5%의 파괴확률을 보였다. 본 연구를 통해 제안된 기법을 활용하여 파괴확률을 계산해본 결과 절리군 2의 경우 33.5%, 절리군 4의 경우 73.5%로 확률론 해석기법의 결과와 유사하게 산정되었다. 따라서 본 연구에 의해 제안된 해석기법인 퍼지몬테카를로기법(Fuzzy Monte Carlo simulation) 기법이 이전의 해석결과와 유사한 해석결과를 보여주면서 자료의 분산이 많이 감소했다는 것을 알 수 있다.

퍼지 리아푸노프 함수 기반 강인한 퍼지 제어기 설계 (Design of the Robust Fuzzy Controller based on Fuzzy Lyapunov Functions)

  • 김호준;박진배;주영훈
    • 한국지능시스템학회논문지
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    • 제21권5호
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    • pp.630-636
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    • 2011
  • 본 논문은 매개변수 불확실성을 가지는 Takagi-Sugeno(T-S) 퍼지 시스템의 안정도 해석과 안정화 조건을 고려한다. T-S 퍼지 시스템의 안정도 해석 시 conservativeness를 줄이기 위해 퍼지 리아푸노프 함수를 이용한다. 매개변수 불확실성을 가지고 있는 시스템의 안정도를 해석하고 시스템을 안정화 시키는 퍼지 강인 제어기 설계 기법을 제시한다. 안정도조건과 안정화조건은 선형행렬부등식의 형태로 표현된다. 모의실험을 통해 제안된 접근 방법의 효용성을 보인다.

Estimation of Collapse Moment for Wall Thinned Elbows Using Fuzzy Neural Networks

  • Na, Man-Gyun;Kim, Jin-Weon;Shin, Sun-Ho;Kim, Koung-Suk;Kang, Ki-Soo
    • 비파괴검사학회지
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    • 제24권4호
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    • pp.362-370
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    • 2004
  • In this work, the collapse moment due to wall-thinning defects is estimated by using fuzzy neural networks. The developed fuzzy neural networks have been applied to the numerical data obtained from the finite element analysis. Principal component analysis is used to preprocess the input signals into the fuzzy neural network to reduce the sensitivity to the input change and the fuzzy neural networks are trained by using the data set prepared for training (training data) and verified by using another data set different (independent) from the training data. Also, two fuzzy neural networks are trained for two data sets divided into the two classes of extrados and intrados defects, which is because they have different characteristics. The relative 2-sigma errors of the estimated collapse moment are 3.07% for the training data and 4.12% for the test data. It is known from this result that the fuzzy neural networks are sufficiently accurate to be used in the wall-thinning monitoring of elbows.

PREDICTION OF RESIDUAL STRESS FOR DISSIMILAR METALS WELDING AT NUCLEAR POWER PLANTS USING FUZZY NEURAL NETWORK MODELS

  • Na, Man-Gyun;Kim, Jin-Weon;Lim, Dong-Hyuk
    • Nuclear Engineering and Technology
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    • 제39권4호
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    • pp.337-348
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    • 2007
  • A fuzzy neural network model is presented to predict residual stress for dissimilar metal welding under various welding conditions. The fuzzy neural network model, which consists of a fuzzy inference system and a neuronal training system, is optimized by a hybrid learning method that combines a genetic algorithm to optimize the membership function parameters and a least squares method to solve the consequent parameters. The data of finite element analysis are divided into four data groups, which are split according to two end-section constraints and two prediction paths. Four fuzzy neural network models were therefore applied to the numerical data obtained from the finite element analysis for the two end-section constraints and the two prediction paths. The fuzzy neural network models were trained with the aid of a data set prepared for training (training data), optimized by means of an optimization data set and verified by means of a test data set that was different (independent) from the training data and the optimization data. The accuracy of fuzzy neural network models is known to be sufficiently accurate for use in an integrity evaluation by predicting the residual stress of dissimilar metal welding zones.

퍼지관계에 기반한 한국 음식과 맛 평가 형용사 분석 (Fuzzy Relation-Based Analysis of Korean Foods and Adjectives for Taste Evaluation)

  • 이준환;박근호;노정옥
    • 한국지능시스템학회논문지
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    • 제23권5호
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    • pp.451-459
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    • 2013
  • 본 논문에서는 퍼지 관계를 이용하여 한국 음식과 해당 음식의 맛을 표현하는 관능 형용사를 분석하였다. 이를 위하여 음식의 맛뿐만 아니라 냄새 등도 표현할 수 있는 87개의 한국어 형용사를 선별하고, 20명의 실험자를 대상으로 51개의 한국음식들을 시식하게 하고 해당 음식 맛 표현에 적합한 형용사를 선택하게 하는 관능 평가를 실시하였다. 이렇게 얻어진 결과로 부터 퍼지 관계를 구성하고 음식과 형용사의 특성을 분석하였다. 또한 퍼지관계 합성을 통하여 음식과 음식 사이의, 또는 형용사와 형용사 사이의 퍼지허용(호환)관계를 구성하였으며, 이들 관계의 퍼지 완전 ${\alpha}$-커버(fuzzy complete ${\alpha}$-cover)로 부터 음식과 형용사의 분류체계를 탐색할 수 있었다. 본 논문의 퍼지 관계를 이용한 방법은 비단 음식과 맛 표현 뿐만 아니라 후각과 촉각과 같은 관능 형용사를 분석하는데 활용될 것을 기대된다.

Parametric Design on Bellows of Piping System Using Fuzzy Knowledge Processing

  • Lee Yang-Chang;Lee Joon-Seong;Choi Yoon-Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권2호
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    • pp.144-149
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    • 2006
  • This paper describes a novel automated analysis system for bellows of piping system. An automatic finite element (FE) mesh generation technique, which is based on the fuzzy theory and computational geometry technique, is incorporated into the system, together with one of commercial FE analysis codes and one of commercial solid modelers. In this system, a geometric model, i.e. an analysis model, is first defined using a commercial solid modelers for 3-D shell structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay triangulation technique is introduced as a basic tool for element generation. The triangular elements are converted to quadrilateral elements. Practical performances of the present system are demonstrated through several analysis for bellows of piping system.

Parametric Study on Bellows of Piping System Using Fuzzy Theory

  • Lee Yang-Chang;Lee Joon-Seong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권1호
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    • pp.58-63
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    • 2006
  • This paper describes a novel automated analysis system for bellows of piping system. An automatic finite element (FE) mesh generation technique, which is based on the fuzzy theory and computational geometry technique, is incorporated into the system, together with one of commercial FE analysis codes and one of commercial solid modelers. In this system, a geometric model, i.e. an analysis model, is first defined using a commercial solid modelers for 3-D shell structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay triangulation technique is introduced as a basic tool for element generation. The triangular elements are converted to quadrilateral elements. Practical performances of the present system are demonstrated through several analysis for bellows of piping system.

New method for dependence assessment in human reliability analysis based on linguistic hesitant fuzzy information

  • Zhang, Ling;Zhu, Yu-Jie;Hou, Lin-Xiu;Liu, Hu-Chen
    • Nuclear Engineering and Technology
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    • 제53권11호
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    • pp.3675-3684
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    • 2021
  • Human reliability analysis (HRA) is a proactive approach to model and evaluate human systematic errors, and has been extensively applied in various complicated systems. Dependence assessment among human errors plays a key role in the HRA, which relies heavily on the knowledge and experience of experts in real-world cases. Moreover, there are ofthen different types of uncertainty when experts use linguistic labels to evaluate the dependencies between human failure events. In this context, this paper aims to develop a new method based on linguistic hesitant fuzzy sets and the technique for human error rate prediction (THERP) technique to manage the dependence in HRA. This method handles the linguistic assessments given by experts according to the linguistic hesitant fuzzy sets, determines the weights of influential factors by an extended best-worst method, and confirms the degree of dependence between successive actions based on the THERP method. Finally, the effectiveness and practicality of the presented linguistic hesitant fuzzy THERP method are demonstrated through an empirical healthcare dependence analysis.

An improvement on fuzzy seismic fragility analysis using gene expression programming

  • Ebrahimi, Elaheh;Abdollahzadeh, Gholamreza;Jahani, Ehsan
    • Structural Engineering and Mechanics
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    • 제83권5호
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    • pp.577-591
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    • 2022
  • This paper develops a comparatively time-efficient methodology for performing seismic fragility analysis of the reinforced concrete (RC) buildings in the presence of uncertainty sources. It aims to appraise the effectiveness of any variation in the material's mechanical properties as epistemic uncertainty, and the record-to-record variation as aleatory uncertainty in structural response. In this respect, the fuzzy set theory, a well-known 𝛼-cut approach, and the Genetic Algorithm (GA) assess the median of collapse fragility curves as a fuzzy response. GA is requisite for searching the maxima and minima of the objective function (median fragility herein) in each membership degree, 𝛼. As this is a complicated and time-consuming process, the authors propose utilizing the Gene Expression Programming-based (GEP-based) equation for reducing the computational analysis time of the case study building significantly. The results indicate that the proposed structural analysis algorithm on the derived GEP model is able to compute the fuzzy median fragility about 33.3% faster, with errors less than 1%.

퍼지 클러스터링기반 신경회로망 패턴 분류기의 학습 방법 비교 분석 (Comparative Analysis of Learning Methods of Fuzzy Clustering-based Neural Network Pattern Classifier)

  • 김은후;오성권;김현기
    • 전기학회논문지
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    • 제65권9호
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    • pp.1541-1550
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    • 2016
  • In this paper, we introduce a novel learning methodology of fuzzy clustering-based neural network pattern classifier. Fuzzy clustering-based neural network pattern classifier depicts the patterns of given classes using fuzzy rules and categorizes the patterns on unseen data through fuzzy rules. Least squares estimator(LSE) or weighted least squares estimator(WLSE) is typically used in order to estimate the coefficients of polynomial function, but this study proposes a novel coefficient estimate method which includes advantages of the existing methods. The premise part of fuzzy rule depicts input space as "If" clause of fuzzy rule through fuzzy c-means(FCM) clustering, while the consequent part of fuzzy rule denotes output space through polynomial function such as linear, quadratic and their coefficients are estimated by the proposed local least squares estimator(LLSE)-based learning. In order to evaluate the performance of the proposed pattern classifier, the variety of machine learning data sets are exploited in experiments and through the comparative analysis of performance, it provides that the proposed LLSE-based learning method is preferable when compared with the other learning methods conventionally used in previous literature.