Time-dependent intuitionistic fuzzy system reliability analysis
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METHODOLOGIES AND APPLICATION
Time-dependent intuitionistic fuzzy system reliability analysis Mohammad Ghasem Akbari1 · Gholamreza Hesamian2
© Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The purpose of the present paper is to provide a method for constructing time-dependent reliability systems based on intuitionistic fuzzy random variables. A lifetime variable cannot be precisely recorded due to machine errors, experimentation pitfalls, personal judgments, estimation errors or other unexpected sources of error. In order to satisfy the purpose of this paper, an intuitionistic fuzzy random variable with exact parameters was introduced and adopted to evaluate the reliability functions of a k-out-of-n system, with some reliability evaluation criteria discussed and interpreted. Numerical evaluations were further presented to illustrate the calculation of the system reliability criteria in the form of intuitionistic fuzzy numbers. Finally, a number of potential engineering applications of the proposed method were presented. Keywords Intuitionistic fuzzy random variable · Intuitionistic fuzzy reliability system · Intuitionistic fuzzy system component
1 Introduction The reliability analysis refers to an important research topic in the field of engineering and applied science. Classical reliability assessment methods are based mainly on crisp or precise information, making them inadequate for capturing the uncertainty associated with the human judgment. In practice, however, there are underlying systems whose information may not be necessarily crisp but rather somehow vague. Therefore, a reliability analysis shall often deal with the uncertainties associated with components, parameters, phenomena and underlying assumptions. Since the introduction of the fuzzy set by Zadeh (1965), assessment of reliability systems based under uncertainty has been extensively investigated by many authors. Over the past decades, different approaches and theories have been proposed for treating the imprecision and uncertainties to end up generalizing the classical reliability systems to vague Communicated by V. Loia.
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Gholamreza Hesamian [email protected] Mohammad Ghasem Akbari [email protected]
1
Department of Statistics, University of Birjand, Birjand 615-97175, Iran
2
Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran
environments/systems of interest. Panda (2016) proposed a method for evaluating the fuzzy reliability of multistage interconnection networks in terms of fuzzy probability of disjoint terms of all path sets. He et al. (2017) introduced a reliability analysis method for multi-state systems on the basis of triangular fuzzy variety subset Bayesian network considering fuzziness, multi-state nature and variety of failure probability over time. Mahapatra and Roy (2012) used Zadeh’s extension principle and interval arithmetic operation on fuzzy numbers to develop a method for evaluating the reliability of a system composed of components with fuzzy reliability. Develo
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