• Title/Summary/Keyword: fuzzy probability

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Time-variant structural fuzzy reliability analysis under stochastic loads applied several times

  • Fang, Yongfeng;Xiong, Jianbin;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.525-534
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    • 2015
  • A new structural dynamic fuzzy reliability analysis under stochastic loads which are applied several times is proposed in this paper. The fuzzy reliability prediction models based on time responses with and without strength degeneration are established using the stress-strength interference theory. The random loads are applied several times and fuzzy structural strength is analyzed. The efficiency of the proposed method is demonstrated numerically through an example. The results have shown that the proposed method is practicable, feasible and gives a reasonably accurate prediction. The analysis shows that the probabilistic reliability is a special case of fuzzy reliability and fuzzy reliability of structural strength without degeneration is also a special case of fuzzy reliability with structural strength degeneration.

A Simultaneous Design of TSK - Linguistic Fuzzy Models with Uncertain Fuzzy Output

  • Kwak, Keun-Chang;Kim, Dong-Hwa
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.427-432
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    • 2005
  • This paper is concerned with a simultaneous design of TSK (Takagi-Sugeno-Kang)-linguistic fuzzy models with uncertain model output and the computationally efficient representation. For this purpose, we use the fundamental idea of linguistic models introduced by Pedrycz and develop their comprehensive design framework. The design process consists of several main phases such as (a) the automatic generation of the linguistic contexts by probabilistic distribution using CDF (conditional density function) and PDF (probability density function) (b) performing context-based fuzzy clustering preserving homogeneity based on the concept of fuzzy granulation (c) augment of bias term to compensate bias error (d) combination of TSK and linguistic context in the consequent part. Finally, we contrast the performance of the enhanced models with other fuzzy models for automobile MPG predication data and coagulant dosing process in a water purification plant.

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Fuzzy 개념을 이용한 RC도로교의 건전성평가 모델 개발 (Development of Integrity Assessment Model for Reinforced Concrete Highway Bridges Using Fuzzy Concept)

  • 나기현;박주원;이증빈;정철원
    • 한국구조물진단유지관리공학회 논문집
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    • 제2권2호
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    • pp.151-161
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    • 1998
  • In this study, an attempt is made to apply the concept of fuzzy-bayesian theory to the integrity assessment of RC highway bridge, and uncertainty states are represented in terms of fuzzy sets which define several linguistic variables such as "very good", "good", "average", "poor", "very poor", etc. Especially, the concept of fuzzy conditional probability aids to derive a new reliability analysis which includes the subjective assessment of engineers without introducing any additional correction factors. The fuzzy concept are also used as reliability indexes for the condition assessment based on the proposed models, the proposed fuzzy theory-based approach with the results of visual inspection and extensive field load tests are applied to the integrity assessment of a new RC highway bridge, namely, Jichok bridge.

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FUZZY FAULT TREE ANALYSIS

  • Jang, Dae-Heung
    • 품질경영학회지
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    • 제20권1호
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    • pp.107-117
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    • 1992
  • Conventional fault tree analysis has several problems as the estimations and tolerances of the failure probability values. To overcome these problems, fuzzy concepts with natural language can be applied to conventional fault tree analysis. And, we propose the evaluation method of the imprecision of top/basic events and possibility importances of basic events.

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Hierarchical Fuzzy Process법 및 퍼지관계방정식을 이용한 철도물류서비스의 경쟁우위 전략에 관한 연구 (A Study on Competition Strategy of Korail's Logistics Services Using Hierarchical Fuzzy Process and Fuzzy Relation Equation)

  • 유승열;이재원;권용장
    • 한국철도학회논문집
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    • 제9권4호
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    • pp.432-440
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    • 2006
  • Prior to the service evaluation, many kinds of its attributes must be identified on the basis of rational decision owing to complexity and ambiguity inherent in logistics service. there are so many evaluation methods but they are not applicable to logistics service the have property of non-additivity and overlapped attributes. Therefore, probability measure can not used to evaluate logistics service but Fuzzy Measure is required. And the method should be easy to calculate it Recently Fuzzy theory has been applied in Various evaluation problem. Fuzzy evaluation based on Fuzzy theory can accommodate fuzziness in judgement with people through introducing Fuzzy Measure. In this paper, Hierarchical Fuzzy Process is applied to evaluate level of logistics service in Korail and the biggest six logistics companies in the korea which is called 3PL Company. Also Fuzzy Relation Equation which is problem identifying evaluation value at these fuzzy evaluation is applied to verify relation between Input and Output data through @-operation. Therefore, we apply this Fuzzy Relation Equation to Hierarchical Fuzzy Process and verify evaluation value which objects of evaluation are able to possess.

Simulation of Fuzzy Reliability Indexes

  • Dong, Yu-Ge;Chen, Xin-Zhao;Cho, Hyun-Deog;Kwon, Jong-Wan
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.492-500
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    • 2003
  • By means of the transformation from the problem of fuzzy reliability to the problem of general reliability, a model for analyzing fuzzy reliability is introduced in this paper Because of the complexity of the Problem of the fuzzy reliability, generally speaking, the analytical equations for calculating fuzzy reliability indexes of machine part cannot be obtained in most cases. Therefore, in this paper, an approach is given wherein progressions are employed to calculate them, or a simulation approach is used to estimate them by expressing general reliability indexes as progressions. By utilizing the approach put forwards in the paper, the calculating quantity for analyzing the fuzzy reliability will be reduced : even substantially reduced sometimes. Some examples are taken to explain the feasibility of the model and a simulation approach.

준노름 퍼지적분의 비 선형성 (Non-Linearity of the Seminormed Fuzzy Integral)

  • Kim, Mi-Hye
    • 한국콘텐츠학회논문지
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    • 제2권2호
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    • pp.91-97
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    • 2002
  • Let (X, F, g) be a fuzzy measure space. Then for any h$\in$ $L^{0}$ (X) , a$\in$[0 , 1] , and $A\in$F ∫$_{A}$aㆍh($\chi$)┬g=aㆍ∫$_{A}$h($\chi$)┬g with the t-seminorm ┬(x, y)= xy. And we prove that the Seminormed fuzzy integral has some linearity properties only for {0,1}-classes of fuzzy measure as follow, For any f, h$\in$ $L^{0}$ ($\chi$), any a, b$\in$R+: af+bh$\in$ $L^{0}$ ($\chi$)⇒ ∫$_{A}$(af+bh)┬g=a∫$_{A}$f┬g+b∫$_{A}$h┬g; if and only if g is a probability measure fulfilling g(A) $\in${0, 1} for all $A\in$F.n$F.

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퍼지신뢰도(fuzzy reliability) 해석기법을 이용한 암반사면의 파괴확률 산정 (Evaluation of the Probability of Failure in Rock Slope Using Fuzzy Reliability Analysis)

  • 박혁진
    • 자원환경지질
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    • 제41권6호
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    • pp.763-771
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    • 2008
  • 불확실성은 사면의 안정성을 해석하는 과정에서 특성자료의 부족이나 지질공학적 특성의 공간적 변동성 등의 원인으로 포함되며 따라서 불확실성으로 인해 변수들의 정확한 값을 획득하기 힘들게 된다 이러한 문제점을 해결하기 위하여 확률론적 해석기법이 활용되어 왔으며 최근에는 퍼지집합이론(fuzzy set theory)을 이용한 해석기법이 활용되고 있다. 특히 확률변수들의 자료 양이 제한적인 경우 변수의 확률특성을 정확하게 파악하기 힘들어 확률론적 해석기법의 활용이 제한적일 수 있으며 이러한 경우 퍼지집합이론은 확률변수의 특성을 효과적으로 표현할 수 있다. 본 연구에서는 암반사면의 안정성 해석과정에서 포함되는 불확실성을 정량화하기 위해 퍼지신뢰도척도(fuzzy reliability measure)를 활용하여 분석을 수행하였으며 특히 암반사면의 안정성에 영향을 미치는 여러 지질공학적 특성중 불연속면의 경사와 내부마찰각을 삼각형 퍼지숫자(fuzzy number)로 해석하였다 이를 위하여 연구대상사면을 선정하여 암반사면에서 발생하는 평면파괴를 대상으로 분석을 수행하였다. 퍼지신뢰도(fuzzy reliability) 해석에서는 퍼지숫자에 대한 퍼지 연산을 통해 퍼지신뢰도 지수(fuzzy reliability index)를 획득하였으며 이러한 결과를 확률론적 해석 결과와 비교하기 위하여 몬테카를로모사기법(Monte Carlo simulation)과 점추정법(point estimate method)을 이용한 확률론적 해석을 수행하였다. 해석결과 불충분한 자료 등으로 인해 불확실성의 정량화가 어려운 경우 퍼지신뢰도 해석을 통해 적절한 퍼지신뢰도 지수와 파괴확률을 획득할 수 있을 것으로 판단된다.

퍼지 클러스터링의 베이지안 검증 방법을 이용한 발아효모 세포주기 발현 데이타의 분석 (Analysis of Saccharomyces Cell Cycle Expression Data using Bayesian Validation of Fuzzy Clustering)

  • 유시호;원홍희;조성배
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제31권12호
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    • pp.1591-1601
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    • 2004
  • 유전자를 분석하는 방법 중 하나인 클러스터링은 비슷한 기능을 가진 유전자들을 집단화시켜서 유전자 집단의 기능을 분석하는데 이용되고 있다. 유전자들은 다양한 functional family에 속할 수 있기 때문에 각 유전자의 클러스터를 하나로 결정짓는 기존의 클러스터링 방법보다 퍼지 클러스터링 방법이 유전자 클러스터링에 더 적합하다. 본 논문에서는 피지 클러스터 결과를 효과적으로 검증할 수 있는 베이지안 검증 방법을 제안한다. 베이지안 검증 방법은 확률기반의 방법으로 주어진 데이타에 대해 가장 큰 사후확률을 가진 클러스터 분할을 선택한다. 먼저 본 논문에서 제안하는 베이지안 검증 방법과 기존의 대표적인 4가지 퍼지 클러스터 검증 방법들을 4가지 데이타에 대해 퍼지 c-means알고리즘을 대상으로 비교 평가한다. 그리고 발아효모 세포주기 발현 데이타를 클러스터링한 후, 제안하는 방법으로 그 결과를 검증하여 분석한다.

각종 보조설비가 연계된 열병합발전시스템에서 가능성 퍼지이론을 적용한 최적운전계획수립 (Optimal Operation Scheduling Using Possibility Fuzzy Theory on Cogeneration Systems Connected with Auxiliary Equipment)

  • 김성일;정창호;이종범
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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    • pp.128-130
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    • 1995
  • This paper presents the optimal operation scheduling on cogeneration systems connected with auxiliary equipment by using the possibility fuzzy theory. The probability fuzzy theory is a method to obtain the possibility of the solution from the fuzzification of coefficients. Simulation is carried out to obtain the boundary of heat production in each time interval. Simulation results shows effectively the flexible operation boundary to establish operation scheduling.

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