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Article

A Product Lifecycle Management-Oriented Fuzzy MCDM Model for Prioritizing Virtual Reality and Augmented Reality Applications in Industrial Design and Manufacturing: Design Optimization and Robustness Analysis

1
Fine Arts and Design, Guangzhou University, Guangzhou 510006, China
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Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana 141006, Punjab, India
3
Jadara Research Center, Jadara University, Irbid 21110, Jordan
4
Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India
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5 Ningbo Yaoyao Creative Design Co., Ltd., Ningbo 315000, China
*
Authors to whom correspondence should be addressed.
Mathematics 2026, 14(10), 1646; https://doi.org/10.3390/math14101646
Submission received: 29 March 2026 / Revised: 18 April 2026 / Accepted: 28 April 2026 / Published: 12 May 2026
(This article belongs to the Special Issue Advances in Fuzzy Intelligence and Non-Classical Logical Computing)

Abstract

This study addresses the challenge of prioritizing Virtual Reality (VR) and Augmented Reality (AR) applications in Product Lifecycle Management (PLM) under multiple conflicting criteria. A comprehensive fuzzy Multi-Criteria Decision-Making (FMCDM) framework is proposed to support robust and unbiased decision-making. The methodology integrates multiple objective weighting techniques, including Entropy, Criteria Importance Through Intercriteria Correlation (CRITIC), Method based on the Removal Effects of Criteria (MEREC), and Standard Deviation, which are aggregated using the Bonferroni operator to obtain balanced criterion weights. The Fuzzy Measurement of Alternatives and Ranking according to Compromise Solution (MARCOS) method is employed as the primary ranking approach, supported by comparative methods such as Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), VIšekriterijumsko KOmpromisno Rangiranje (VIKOR), Evaluation based on Distance from Average Solution (EDAS), Weighted Aggregated Sum Product Assessment (WASPAS), and Multi-Objective Optimization on the basis of Ratio Analysis (MOORA) for validation. The results indicate that Virtual Reality Digital Prototyping and Design Review (A3) is the most preferred alternative, achieving the highest utility value (0.95267), followed by Augmented Reality-Assisted Assembly and Inspection Guidance (A1) and Augmented Reality-Supported Maintenance and Operator Training (A4). A high Stability Index of 0.9133 confirms robustness, and sensitivity analysis shows stable rankings. The framework provides a reliable and scalable decision-support system for smart manufacturing.
Keywords: fuzzy multi-criteria decision-making; virtual reality; augmented reality; product lifecycle management; MARCOS; Bonferroni aggregation; objective weighting; rank aggregation; sensitivity analysis; stability index fuzzy multi-criteria decision-making; virtual reality; augmented reality; product lifecycle management; MARCOS; Bonferroni aggregation; objective weighting; rank aggregation; sensitivity analysis; stability index

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MDPI and ACS Style

Ouyang, L.; Lai, Y.; Kumar, R.; Chen, Y. A Product Lifecycle Management-Oriented Fuzzy MCDM Model for Prioritizing Virtual Reality and Augmented Reality Applications in Industrial Design and Manufacturing: Design Optimization and Robustness Analysis. Mathematics 2026, 14, 1646. https://doi.org/10.3390/math14101646

AMA Style

Ouyang L, Lai Y, Kumar R, Chen Y. A Product Lifecycle Management-Oriented Fuzzy MCDM Model for Prioritizing Virtual Reality and Augmented Reality Applications in Industrial Design and Manufacturing: Design Optimization and Robustness Analysis. Mathematics. 2026; 14(10):1646. https://doi.org/10.3390/math14101646

Chicago/Turabian Style

Ouyang, Linzi, Yuling Lai, Raman Kumar, and Yao Chen. 2026. "A Product Lifecycle Management-Oriented Fuzzy MCDM Model for Prioritizing Virtual Reality and Augmented Reality Applications in Industrial Design and Manufacturing: Design Optimization and Robustness Analysis" Mathematics 14, no. 10: 1646. https://doi.org/10.3390/math14101646

APA Style

Ouyang, L., Lai, Y., Kumar, R., & Chen, Y. (2026). A Product Lifecycle Management-Oriented Fuzzy MCDM Model for Prioritizing Virtual Reality and Augmented Reality Applications in Industrial Design and Manufacturing: Design Optimization and Robustness Analysis. Mathematics, 14(10), 1646. https://doi.org/10.3390/math14101646

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