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.

Fuzzy System Reliability Analysis Based on Confidence Interval

2012 ◽  
Vol 433-440 ◽  
pp. 4908-4914 ◽  
Author(s):  
Ezzatallah Baloui Jamkhaneh ◽  
Azam Nozari
Keyword(s):  
Confidence Interval ◽  
System Reliability ◽  
Fuzzy System ◽  
Statistical Data ◽  
Parallel Systems ◽  
Fuzzy Data ◽  
Statistical Methodology ◽  
Fuzzy Reliability ◽  
Numerical Examples ◽  
Cut Set

This paper proposes a new method for analyzing the fuzzy system reliability of a parallel-series and series-parallel systems using fuzzy confidence interval, where the reliability of each component of each system is unknown. To compute system reliability, we are estimated reliability of each component of the systems using fuzzy statistical data with both tools appropriate for modeling fuzzy data and suitable statistical methodology to handle these data. Numerical examples are given to compute fuzzy reliability and its cut set and the calculating was performed by using programming in software R.

Reliability Analysis for Environment Systems Using Dual Hesitant Fuzzy Set

2019 ◽  
pp. 162-173 ◽  
Author(s):  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Reliability Function ◽  
Hesitant Fuzzy Set ◽  
Electronic Systems ◽  
Hesitant Fuzzy Sets ◽  
Fuzzy Reliability ◽  
Dual Hesitant Fuzzy Set

In this chapter, we deal with dual hesitant fuzzy set theory and compute the fuzzy reliability with lifetime components of different electronic systems, such as series and parallel systems from a Markov chain technique. In dual hesitant fuzzy sets, we have membership and non-membership degree function whereas hesitant fuzzy sets only have membership function. In this chapter we also discuss the Weibull distribution and reliability function of the proposed systems. A numerical example is also given in the end of proposed algorithm.

scholarly journals Study on Posbist Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Subarna Bhattacharjee ◽  
Asok K. Nanda ◽  
S. S. Alam
Keyword(s):  
Probability Theory ◽  
Distribution Function ◽  
Possibility Theory ◽  
Reliability Theory ◽  
Lifetime Distribution ◽  
Possibility Distribution ◽  
Fuzzy Reliability ◽  
Fuzzy State ◽  
State Assumption

The probability theory, in general, with the help of the dichotomous state develops the theory of reliability. Recently, the fuzzy reliability has been developed based on the concept of possibility distribution and fuzzy-state assumption. In this paper, we derive the possibility distribution function and discuss the properties of a k-out-of-n (1≤k≤n) system based on the assumption of the possibility theory and keeping the dichotomous state of the system unchanged when the lifetime distribution is either normal, Cauchy, or exponential. A few results contrary to the conventional reliability theory are obtained.

scholarly journals Fuzzy Reliability Based on Hesitant and Dual Hesitant Fuzzy Set Evaluation

2020 ◽  
Vol 6 (1) ◽  
pp. 166-179
Author(s):  
Akshay Kumar ◽  
Soni Bisht ◽  
Nupur Goyal ◽  
Mangey Ram
Keyword(s):  
Weibull Distribution ◽  
Membership Function ◽  
Fuzzy Set ◽  
Reliability Function ◽  
Aggregation Operator ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Reliability ◽  
Numerical Examples ◽  
Dual Hesitant Fuzzy Set

In this study, we calculate hesitant and dual hesitant fuzzy reliability of linear and circular consecutive 2-out-of-4:G system from reliability function and Weibull distribution. After that, we introduced some basic methods for investigating the fuzzy reliability in the form of upper and lower membership and non- membership function having an aggregation operator with equal weights. At last, two numerical examples are also illustrated with the considered technique.

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.

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.

Study on Multi-Objective Synergy of Construction Project Based on Reliability Theory

2014 ◽  
Vol 912-914 ◽  
pp. 1751-1754
Author(s):  
Yu Fang Shi ◽  
Xiu Fen Wang
Keyword(s):  
Project Management ◽  
System Reliability ◽  
Reliability Index ◽  
Construction Project ◽  
Reliability Function ◽  
Reliability Theory ◽  
Time Cost ◽  
Management Efficiency ◽  
Objective System ◽  
Definition Of

On the basis of analysing objective hierarchy and synergy relationship, objective system of construction project is built. Then based on system reliability theory, the reliability index is introduced and definition of objective system synergy of construction project is proposed. Taking time, cost and quality as example, constructing multi-objectives reliability function and the reliability synergy model of working procedures even the whole construction project objective system is built. The method discovered a new way for objective synergy of construction project and contributed to project management efficiency.

The Comparison Between the Bayes Estimator and the Maximum Likelihood Estimator of the Reliability Function for Negative Exponential Distribution

2018 ◽  
pp. 439
Author(s):  
Hazim Mansour Gorgees ◽  
Bushra Abdualrasool Ali ◽  
Raghad Ibrahim Kathum
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimator ◽  
Exponential Distribution ◽  
Reliability Function ◽  
Bayes Estimator ◽  
Likelihood Estimator ◽  
Monte Carlo Simulation Technique ◽  
Negative Exponential Distribution ◽  
Negative Exponential ◽  
Better Than

     In this paper, the maximum likelihood estimator and the Bayes estimator of the reliability function for negative exponential distribution has been derived, then a Monte –Carlo simulation technique was employed to compare the performance of such estimators. The integral mean square error (IMSE) was used as a criterion for this comparison. The simulation results displayed that the Bayes estimator performed better than the maximum likelihood estimator for different samples sizes.

Algorithms and Formulae for Conversion Between System Signatures and Reliability Functions

2015 ◽  
Vol 52 (02) ◽  
pp. 490-507
Author(s):  
Jean-Luc Marichal
Keyword(s):  
System Reliability ◽  
Reliability Function ◽  
Efficient Algorithms ◽  
System Designs ◽  
Independent And Identically Distributed

The concept of a signature is a useful tool in the analysis of semicoherent systems with continuous, and independent and identically distributed component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For such systems, we provide conversion formulae between the signature and the reliability function through the corresponding vector of dominations and we derive efficient algorithms for the computation of any of these concepts from any other. We also show how the signature can be easily computed from the reliability function via basic manipulations such as differentiation, coefficient extraction, and integration.

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