A novel reliability calculation method under neutrosophic environments

Kuei-Hu Chang ()
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Kuei-Hu Chang: R.O.C. Military Academy

Annals of Operations Research, 2022, vol. 315, issue 2, No 38, 1599-1615

Abstract: Abstract System reliability design and evaluation have a significant effect on the competitiveness of products and the sustainable development of enterprises. In the initial stage of system design, it must be discussed the truth-membership function, indeterminacy-membership function and falsity-membership function of basic failure events from different perspectives which belong to neutrosophic environments. However, some of the failure information provided by different experts for system components in the process of system reliability design and evaluation simultaneously that include complete, uncertain and inconsistent information; this makes system reliability design and evaluation more difficult. In order to effectively deal with this issue, this paper proposes a novel reliability calculation method based on the neutrosophic set that are generalized from crisp sets, fuzzy sets and intuitionistic fuzzy sets. The proposed method provides 4 calculation results in aspects of reliability that include reliability interval of the truth-membership function, reliability interval of the indeterminacy membership function, reliability interval of the falsity-membership function, and the influence degree of each basic failure event for system failure. These results provide a reference for the allocation of available resources and future maintenance strategies. In order to demonstrate the applicability and practicability of the proposed method, an illustrative example of a milk manufacturing unit is provided, and simulation results are compared with those obtained using other reliability calculation methods.

Keywords: Neutrosophic set; Neutrosophic environment; Single valued neutrosophic sets; Triangular neutrosophic numbers; Reliability calculation; Fault tree analysis (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-020-03890-4

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