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Article

An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information

by
Chenlin Li
1,2 and
Baozhu Jia
1,2,3,*
1
Architecture and Shipping College, Guangdong Ocean University, Zhanjiang 524088, China
2
Technical Research Center for Ship Intelligence and Safety Engineering of Guangdong Province, Zhanjiang 524088, China
3
South China Sea Marine Ranch Intelligent Equipment Guangdong Key Laboratory, No. 5 Haibin Avenue, Xiashan District, Zhanjiang 524088, China
*
Author to whom correspondence should be addressed.
J. Mar. Sci. Eng. 2025, 13(8), 1525; https://doi.org/10.3390/jmse13081525
Submission received: 10 June 2025 / Revised: 31 July 2025 / Accepted: 5 August 2025 / Published: 8 August 2025
(This article belongs to the Section Ocean Engineering)

Abstract

Reliable operation of marine equipment is crucial for ensuring vessel performance and safeguarding the safety of personnel and the marine environment. However, the complexity of evaluation criteria and the subjectivity inherent in expert judgments pose significant challenges for effective reliability assessment. To address these challenges, this study proposes an extended VIKOR method within a group decision-making (GDM) framework based on picture fuzzy numbers. The method first collects expert evaluations through questionnaires and voting to construct individual decision matrices, and then it applies a newly developed entropy-based approach to determine attribute weights, resulting in a group-weighted decision matrix. Subsequently, an extended VIKOR model is introduced, where the group utility measure is derived from one positive reference matrix and two negative reference matrices, while the group regret measure is based on two negative reference matrices. To improve assessment precision, this study also introduces a novel normalized projection measure to evaluate the closeness between decision matrices. Finally, two ranking strategies are developed, for static and dynamic environments, respectively. The proposed method is validated through a case study on marine equipment reliability assessment, confirming its effectiveness and feasibility. This study provides valuable insights for both theoretical research and practical applications in maritime engineering.
Keywords: marine equipment reliability assessment; extended VIKOR method; entropy-based weight method; normalization projection; picture fuzzy number marine equipment reliability assessment; extended VIKOR method; entropy-based weight method; normalization projection; picture fuzzy number

Share and Cite

MDPI and ACS Style

Li, C.; Jia, B. An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information. J. Mar. Sci. Eng. 2025, 13, 1525. https://doi.org/10.3390/jmse13081525

AMA Style

Li C, Jia B. An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information. Journal of Marine Science and Engineering. 2025; 13(8):1525. https://doi.org/10.3390/jmse13081525

Chicago/Turabian Style

Li, Chenlin, and Baozhu Jia. 2025. "An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information" Journal of Marine Science and Engineering 13, no. 8: 1525. https://doi.org/10.3390/jmse13081525

APA Style

Li, C., & Jia, B. (2025). An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information. Journal of Marine Science and Engineering, 13(8), 1525. https://doi.org/10.3390/jmse13081525

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