scholarly journals STRUCTURAL FUZZY RELIABILITY ANALYSIS USING THE CLASSICAL RELIABILITY THEORY

2021 ◽  
pp. 1-9
Author(s):  
Tuan Nguyen ◽  
Huynh Xuan Le
Keyword(s):  
Standard Deviation ◽  
Reliability Analysis ◽  
Fuzzy Number ◽  
Structural Reliability ◽  
Original Problem ◽  
Triangular Fuzzy Number ◽  
Reliability Theory ◽  
Design Codes ◽  
Fuzzy Reliability ◽  
Novel Approach

This study is focused  on a novel approach for calculating structural fuzzy reliability by using the classical reliability theory. In order to handle the structural fuzzy reliability problem, the formulas for establishing normal random variables equivalent to symmetric triangular fuzzy number are presented. From these equivalent random ones, the original problem is converted to the basic structural reliability problems, then the methods of the classical reliability theory should be applied to calculate. Moreover, this study proposes two notions in terms of central fuzzy reliability and standard deviation of fuzzy reliability as well as a calculation procedure to define them. Lastly, the ultimate fuzzy reliability of the proposed method is established and utilized to compare the allowable reliability in the design codes. Numerical results are supervised to verify the accuracy of the proposed method.

scholarly journals System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

2018 ◽  
Vol 3 (4) ◽  
pp. 513-521 ◽  
Author(s):  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
System Reliability ◽  
Fuzzy Number ◽  
Reliability Function ◽  
Reliability Theory ◽  
Lifetime Distribution ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Reliability ◽  
Averaging Operator ◽  
Cut Set ◽  
Better Than

This work deals with the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. Fuzzy reliability function and triangular hesitant fuzzy number also computed with α-cut set of the proposed reliability function. After applying the averaging operator of hesitant theory, the results are better than simple fuzzy. Also at last, a numerical example has been shown that how the hesitant fuzzy and α-cut work in case of reliability theory.

New Fuzzy Multi-Level Comprehensive Methodology for Safety Risk of Subway Operation

2013 ◽  
Vol 373-375 ◽  
pp. 2195-2199 ◽  
Author(s):  
Jia Yang Li ◽  
Kai Ning Liu ◽  
Ying Qiu Gu
Keyword(s):  
Standard Deviation ◽  
Public Transportation ◽  
Fuzzy Number ◽  
Integrated Approach ◽  
Triangular Fuzzy Number ◽  
Evaluation Index System ◽  
Evaluation Index ◽  
Multi Level ◽  
Safety Operation ◽  
Hierarchy Process

Subway has already become an important tool of public transportation. Subway security operation is to achieve a serious guarantee of safety and convenience. In this article, subway safety operation evaluation index system is constructed. Based on hierarchy process, triangular fuzzy number was used to describe the evaluation value obtained by experts. In order to be more objective and more precise, the correlation coefficient and standard deviation integrated approach will be used to calculate the weights of criteria in the fuzzy hierarchy process.

Fuzzy Reliability Evaluation of Complex Systems Using Intuitionistic Fuzzy Sets

2021 ◽  
pp. 166-180
Author(s):  
Ashok Singh Bhandari ◽  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
Complex Systems ◽  
Fuzzy Sets ◽  
Generating Function ◽  
Fuzzy Number ◽  
Reliability Evaluation ◽  
Triangular Fuzzy Number ◽  
Intuitionistic Fuzzy Sets ◽  
Lifetime Distribution ◽  
Fuzzy Reliability ◽  
Intuitionistic Fuzzy

In a system where it cannot be reduced to a pure series and parallel form (i.e., complex), reliability is obtained by universal generating function (UGF) technique. The intuitionistic fuzzy sets (IFS) concept with triangular fuzzy number (TFN) and Weibull lifetime distribution is introduced to find the fuzzy reliability of the same system. Also, averaging operator with given equal weights is used with the set of three triangular intuitionistic fuzzy number. A numerical example is solved for demonstration.

The Reliability Analysis of Cut Angle Fuzzy of Chimney Demolished by Controlled Blasting

2014 ◽  
Vol 1006-1007 ◽  
pp. 504-510
Author(s):  
Xiang Chao Gong ◽  
Dong Wang Zhong ◽  
Ming Li
Keyword(s):  
Reliability Analysis ◽  
Random Variable ◽  
Reliability Theory ◽  
Fuzzy Reliability ◽  
Normally Distributed

Cut angle is one of the best important parameters of chimney demolished by controlled blasting. The suitable angle is effected by a lot of factors. But mechanical principle is not entirely clear. The theoretical value of angle is usually designed by experience formula . At the same time, the factual angle made by blasting is also fuzzy and random. So in this paper, the formula to calculate fuzzy reliability of cut angle is derived according to fuzzy reliability theory. It provides an credible parameter for engineering blasting designer. Linear memberships function is adopted for theory value of cut angle and the factual blasting angle is a random variable which is suggested to be normally distributed. At last, an engineering example is given to verify the method of this paper.

Time-Dependent Reliability Analysis Through Response Surface Method

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
Dequan Zhang ◽  
Xu Han ◽  
Chao Jiang ◽  
Jie Liu ◽  
Qing Li
Keyword(s):  
Reliability Analysis ◽  
Response Surface ◽  
Structural Reliability ◽  
Time Dependent ◽  
Gaussian Stochastic Process ◽  
Reliability Indices ◽  
Novel Approach ◽  
Reliability Method ◽  
Optimal Linear ◽  
Uncertain Structures

In time-dependent reliability analysis, the first-passage method has been extensively used to evaluate structural reliability under time-variant service circumstances. To avoid computing the outcrossing rate in this method, surrogate modeling may provide an effective alternative for calculating the time-dependent reliability indices in structural analysis. A novel approach, namely time-dependent reliability analysis with response surface (TRARS), is thus introduced in this paper to estimate the time-dependent reliability for nondeterministic structures under stochastic loads. A Gaussian stochastic process is generated by using the expansion optimal linear estimation (EOLE) method which has proven to be more accurate and efficient than some series expansion discretization techniques. The random variables and maximum responses of uncertain structures are treated as the input and output parameters, respectively. Through introducing the response surface (RS) model, a novel iterative procedure is proposed in this study. A Bucher strategy is adopted to generate the initial sample points, and a gradient projection technique is used to generate new sampling points for updating the RS model in each iteration. The time-dependent reliability indices and probabilities of failure are thus obtained efficiently using the first-order reliability method (FORM) over a certain design lifetime. In this study, four demonstrative examples are provided for illustrating the accuracy and efficiency of the proposed method.

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