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A novel reliability calculation method under neutrosophic environments

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  • Kuei-Hu Chang

    (R.O.C. Military Academy
    Asia University)

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.

Suggested Citation

  • Kuei-Hu Chang, 2022. "A novel reliability calculation method under neutrosophic environments," Annals of Operations Research, Springer, vol. 315(2), pages 1599-1615, August.
    • Handle: RePEc:spr:annopr:v:315:y:2022:i:2:d:10.1007_s10479-020-03890-4
    DOI: 10.1007/s10479-020-03890-4
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    References listed on IDEAS

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    1. Guopeng Song & Hao Chen & Bo Guo, 2014. "A Layered Fault Tree Model for Reliability Evaluation of Smart Grids," Energies, MDPI, vol. 7(8), pages 1-23, July.
    2. Juan-juan Peng & Jian-qiang Wang & Jing Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2342-2358, July.
    3. Edmundas Kazimieras Zavadskas & Romualdas Baušys & Marius Lazauskas, 2015. "Sustainable Assessment of Alternative Sites for the Construction of a Waste Incineration Plant by Applying WASPAS Method with Single-Valued Neutrosophic Set," Sustainability, MDPI, vol. 7(12), pages 1-14, December.
    4. Kuei-Hu Chang, 2019. "A novel supplier selection method that integrates the intuitionistic fuzzy weighted averaging method and a soft set with imprecise data," Annals of Operations Research, Springer, vol. 272(1), pages 139-157, January.
    5. Meilin Wen & Rui Kang, 2016. "Reliability analysis in uncertain random system," Fuzzy Optimization and Decision Making, Springer, vol. 15(4), pages 491-506, December.
    6. Kuei-Hu Chang & Yung-Chia Chang & Kai Chain & Hsiang-Yu Chung, 2016. "Integrating Soft Set Theory and Fuzzy Linguistic Model to Evaluate the Performance of Training Simulation Systems," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-29, September.
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