• 제목/요약/키워드: probability index

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Rejection Degree by Fuzzy Significance Probability

  • Choi, Gyu-Tag;Park, Il-Soo;Nam, Hyun-Woo;Moon, Jong-Choon
    • 동력기계공학회지
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    • 제18권1호
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    • pp.135-139
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    • 2014
  • We propose some properties for fuzzy hypothesis test by fuzzy significance probability. First, we define fuzzy number data and fuzzy significance probability for repeatedly observed data with alternated error term. By the agreement index, we compare fuzzy significance probability with significance level and drawing conclusions the degree of acceptance and rejection by agreement index.

A Probabilistic Fuzzy Logic Approach to Identify Productivity Factors in Indian Construction Projects

  • Princy, J. Darwin;Shanmugapriya, S.
    • Journal of Construction Engineering and Project Management
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    • 제7권3호
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    • pp.39-55
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    • 2017
  • Preeminent performance of construction industry are unattainable with poor productivity resulting in time and cost over runs. Enhancement in productivity cannot be achieved without identifying and analyzing factors that adversely affect productivity. The objective therefore is to propose a productivity analysis model to quantify the probability of effect of factors influencing productivity by using fuzzy logic incorporated with relative importance index method, for various types of construction projects. To achieve this objective, a questionnaire survey was carried out targeting respondents of Indian construction industry, from four distinct projects, namely, residential, commercial, infrastructure and industrial projects. Based on questionnaire administered, the relative importance and ranks of factors demonstrated using relative importance index method. Probability assessment model to analyze productivity was then developed by using Fuzzy Logic Toolbox of MATLAB. The applicability of the proposed model was tested in seven construction projects and the probability of impact of factors on productivity evaluated. The results of application of model in the construction firms infers that the most contributing factor groups for most of the projects were discerned to be manpower, motivation and time group.

Reliability index for non-normal distributions of limit state functions

  • Ghasemi, Seyed Hooman;Nowak, Andrzej S.
    • Structural Engineering and Mechanics
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    • 제62권3호
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    • pp.365-372
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    • 2017
  • Reliability analysis is a probabilistic approach to determine a safety level of a system. Reliability is defined as a probability of a system (or a structure, in structural engineering) to functionally perform under given conditions. In the 1960s, Basler defined the reliability index as a measure to elucidate the safety level of the system, which until today is a commonly used parameter. However, the reliability index has been formulated based on the pivotal assumption which assumed that the considered limit state function is normally distributed. Nevertheless, it is not guaranteed that the limit state function of systems follow as normal distributions; therefore, there is a need to define a new reliability index for no-normal distributions. The main contribution of this paper is to define a sophisticated reliability index for limit state functions which their distributions are non-normal. To do so, the new definition of reliability index is introduced for non-normal limit state functions according to the probability functions which are calculated based on the convolution theory. Eventually, as the state of the art, this paper introduces a simplified method to calculate the reliability index for non-normal distributions. The simplified method is developed to generate non-normal limit state in terms of normal distributions using series of Gaussian functions.

퍼지 확률에 의한 이항분포 (The Binomial Distribution with Fuzzy Valued Probability)

  • 강만기;서현아;박영래;최규탁
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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    • pp.33-36
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    • 2008
  • We introduce some properties for fuzzy binomial distributions with fuzzy valued probability. First we define fuzzy type I error and type II error for fuzzy relative frequency and agreement index. And we show that an fuzzy power function and fuzzy binomial frequency function for binomial proportion test.

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퍼지확률이론과 손상지수를 이용한 지하암반공동에서의 스폴링 발생 평가 (Assessment of spalling occurrence using fuzzy probability theory and damage index in underground openings)

  • 방준호;이강현;이인모
    • 한국터널지하공간학회 논문집
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    • 제12권1호
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    • pp.15-29
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    • 2010
  • 스폴링 현상은 높은 현지응력하에서 확장균열의 발달로 암반공동 주변에서 발생하는 파괴형태이다. 기존 연구에 의하면 3가지 스폴링 기준은 범위로 제시되어 있어 기준자체의 애매모호함이 상존하고 있다. 본 연구에서는 퍼지확률이론을 적용한 새로운 스폴링 발생 종합 평가모델을 제안하였고 스폴링 발생현장에 평가모델을 적용한 결과 현장관측결과와 일치하는 결과를 보였으며, 정량적으로 스폴링 발생확률을 산정할 수 있었다. 특히, 3가지 스폴링 평가인자별 상대중요도를 고려한 가중치를 적용함으로써 실제 스폴링이 관측된 현장이 스폴링이 발생하지 않는 것으로 평가되는 오류를 해결하였다. 또한, Martin 등(1999)의 손상지수에 형상계수를 도입한 수정손상지수가 포함된 스폴링 평가인자를 스폴링 발생 종합 평가모델에 적용한 결과 합리적인 스폴링 발생확률을 산정할 수 있었다.

기상특성을 이용한 전국 산불발생확률모형 개발 (Developing of Forest Fire Occurrence Probability Model by Using the Meteorological Characteristics in Korea)

  • 이시영;한상열;원명수;안상현;이명보
    • 한국농림기상학회지
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    • 제6권4호
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    • pp.242-249
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    • 2004
  • This study was conducted to develop a forest fire occurrence model using meteorological characteristics for the practical purpose of forecasting forest fire danger. Forest fire in South Korea is highly influenced by humidity, wind speed, and temperature. To effectively forecast forest fire occurrence, we need to develop a forest fire danger rating model using weather factors associated with forest fire. Forest fore occurrence patterns were investigated statistically to develop a forest fire danger rating index using time series weather data sets collected from 8 meteorological observation centers. The data sets were for 5 years from 1997 through 2001. Development of the forest fire occurrence probability model used a logistic regression function with forest fire occurrence data and meteorological variables. An eight-province probability model by was developed. The meteorological variables that emerged as affective to forest fire occurrence are effective humidity, wind speed, and temperature. A forest fire occurrence danger rating index of through 10 was developed as a function of daily weather index (DWI).

쉴드 터널 세그먼트 라이닝의 내진설계를 위한 신뢰성해석 (Reliability analysis for design of shield tunnel segment lining under earthquake load)

  • 박영빈;김도;변요셉;이규필
    • 한국터널지하공간학회 논문집
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    • 제22권3호
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    • pp.249-259
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    • 2020
  • 지중 구조물의 한계상태설계를 위한 설계 기준이 해외에서는 이미 발표된 바 있고 국내에서도 설계법 개정을 위한 연구가 수행되고 있다. 지진 시 파괴확률을 추정하기 위해서는 신뢰성 분석에서 확률변수를 고려해야 한다. 본 연구에서는 국내 지반 확률 특성치를 고려한 토압에 대한 변동계수와 지진하중 효과에 대한 변동계수를 적용하여 기존 쉴드 터널 설계 단면에 대한 지진 시 파괴확률을 계산하였다. 산정된 파괴확률로부터 신뢰도지수(β)를 산정하고 하중 계수의 변화에 따른 신뢰도지수를 분석한 결과와 국내외 연구결과를 토대로 쉴드 터널 세그먼트 라이닝의 지진 시 목표 신뢰도지수(βT)는 2.3이 합리적인 것으로 분석되어, 지진 시 한계상태설계를 위한 목표 신뢰도 지수로 제안하였다.

인천 송도지역 지반정수의 확률분포 추정 (Probability Distribution of Geotechnical Properties of Songdo area in Incheon)

  • 김동휘;김민태;고성권;박정규;이우진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.1399-1406
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    • 2009
  • Probability distribution of geotechnical properties is very useful information and it is used for evaluating the geotechnical properties itself and calculating probability of failure. In this study, probability distribution of compression index, recompression index, and void ratio are evaluated, and analysis results show that all property distributions satisfy normal and log-normal distribution.

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Empirical seismic fragility rapid prediction probability model of regional group reinforced concrete girder bridges

  • Li, Si-Qi;Chen, Yong-Sheng;Liu, Hong-Bo;Du, Ke
    • Earthquakes and Structures
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    • 제22권6호
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    • pp.609-623
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    • 2022
  • To study the empirical seismic fragility of a reinforced concrete girder bridge, based on the theory of numerical analysis and probability modelling, a regression fragility method of a rapid fragility prediction model (Gaussian first-order regression probability model) considering empirical seismic damage is proposed. A total of 1,069 reinforced concrete girder bridges of 22 highways were used to verify the model, and the vulnerability function, plane, surface and curve model of reinforced concrete girder bridges (simple supported girder bridges and continuous girder bridges) considering the number of samples in multiple intensity regions were established. The new empirical seismic damage probability matrix and curve models of observation frequency and damage exceeding probability are developed in multiple intensity regions. A comparative vulnerability analysis between simple supported girder bridges and continuous girder bridges is provided. Depending on the theory of the regional mean seismic damage index matrix model, the empirical seismic damage prediction probability matrix is embedded in the multidimensional mean seismic damage index matrix model, and the regional rapid prediction matrix and curve of reinforced concrete girder bridges, simple supported girder bridges and continuous girder bridges in multiple intensity regions based on mean seismic damage index parameters are developed. The established multidimensional group bridge vulnerability model can be used to quantify and predict the fragility of bridges in multiple intensity regions and the fragility assessment of regional group reinforced concrete girder bridges in the future.

Reliability analysis of circular tunnel with consideration of the strength limit state

  • Ghasemi, Seyed Hooman;Nowak, Andrzej S.
    • Geomechanics and Engineering
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    • 제15권3호
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    • pp.879-888
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    • 2018
  • Probability-based design codes have been developed to sufficiently confirm the safety level of structures. One of the most acceptable probability-based approaches is Load Resistance Factor Design (LRFD), which measures the safety level of the structures in terms of the reliability index. The main contribution of this paper is to calibrate the load and resistance factors of the design code for tunnels. The load and resistance factors are calculated using the available statistical models and probability-based procedures. The major steps include selection of representative structures, consideration of the limit state functions, calculation of reliability for the selected structures, selection of the target reliability index and calculation of load factors and resistance factors. The load and resistance models are reviewed. Statistical models of resistance (load carrying capacity) are summarized for strength limit state in bending, shear and compression. The reliability indices are calculated for several segments of a selected circular tunnel designed according to the tunnel manual report (Tunnel Manual). The novelty of this paper is the selection of the target reliability. In doing so, the uniform spectrum of reliability indices is proposed based on the probability paper. The final recommendation is proposed based on the closeness to the target reliability index.