Abstract
The consecutive k-out-of-n: F structure is broadly applicable in industrial and military frameworks. Without lifetime information about the entire design, it is appealing to use fuzzy earlier beliefs on its segments. In this paper the fuzzy Bayesian reliability assessment of the linear (circular) consecutive k-out-of-n: F system is proposed under the squared error loss function. The parameters are known as fuzzy random variables in the process of obtaining fuzzy Bayesian reliability. The conventional strategy for estimating Bayesian reliability will be utilized to construct the fuzzy Bayesian point estimator of the proposed system by applying the Resolution Identity theorem. A comparative study of the derived result with the literature is presented.
 HIGHLIGHTS
 
 Reliability Estimate of Consecutive k-out-of-n: F system
 Parameters are known as fuzzy random variables
 Applied Resolution Identity Theorem to estimate fuzzy Bayesian reliability
 Fuzzy Bayesian system reliability is calculated
 Fuzzy mean time to failure is calculated
 
 GRAPHICAL ABSTRACT
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