Abstract
To avoid the decrease of system reliability due to insufficient component maintenance and the resource waste caused by excessive component maintenance, identifying the critical components of complex products is an effective way to improve the efficiency of maintenance activities. Existing studies on identifying critical components of complex products are mainly from two aspects i.e., topological properties and functional properties, respectively. In this paper, we combine these two aspects to establish a hybrid intuitionistic fuzzy set to incorporate the different types of attribute values. Considering the mutual correlation between attributes, a combination of AHP (Analytic Hierarchy Process) and Improved Mahalanobis-Taguchi System (MTS) is used to determine the λ-Shapley fuzzy measures for attributes. Then, the λ-Shapley Choquet integral intuitionistic fuzzy TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method is proposed for calculating the closeness degrees of components to generate their ranking order. Finally, a case study which is about the right gear of airbus 320 is taken as an example to verify the feasibility and effectiveness of this method. This novel methodology can effectively solve the critical components identification problem with different types of evaluation information and completely unknown weight information of attributes, which provides the implementation of protection measures for the system reliability of complex products.
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References
Atanassov K (1986). Intuitionistic fuzzy-sets. Fuzzy Sets and Systems 20(1): 87–96.
Bustince H, Burillo P (1995). Correlation of interval-valued intuitionistic fuzzy-sets. Fuzzy Sets and Systems 74(2): 237–244.
Chang Z, Cheng L (2015). Multi-attribute decision making method based on Mahalanobis-Taguchi system and fuzzy integral. Journal of Industrial Engineering/Engineering Management 03: 12–120.
Chang Z, Cheng L, Cui L (2016). Interval Choquet fuzzy integral multi-attribute decision making method based on Mahalanobis-Taguchi system. Control and Decision 31(1): 180–186.
Cheng L, Yaghoubi V, Van Paepegem W, Kersemans M (2021). Mahalanobis classification system (MCS) integrated with binary particle swarm optimization for robust quality classification of complex metallic turbine blades. Mechanical Systems and Signal Processing 146.
He D, Luo A, Deng J, Tan W (2018). Optimization model of preventive maintenance decision-making for train bogie key components. Computer Integrated Manufacturing Systems 24(5): 1155–1161.
Lee Y, Teng H (2009). Predicting the financial crisis by Mahalanobis-Taguchi system - examples of Taiwan’s electronic sector. Expert Systems with Applications 36(4): 7469–7478.
Li Y, Wang X, Li X (2017). Design change impact assessment for complex product based on complex networks propagation dynamics. Computer Integrated Manufacturing Systems 23(7): 1429–1438.
Lin L, Yuan X, Xia Z (2007). Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets. Journal of Computer and System Sciences 73(1): 84–88.
Lin S, Jia L, Wang Y, Zhang D (2017). Identifying critical components of complex electromechanical system and its application. Systems Engineering - Theory & Practice 37(7): 1892–1902.
Lin S, Jia L, Wang Y (2019). Identification of critical components of high-speed train system based on interval-value intuitionistic hesitant fuzzy set. Control Theory & Applications 36(2): 295–306.
Lu Y, Ma R, Li G, Cui D, Sun K (2018). Reliability optimization design of bevel gear drive system based on large-scale double-toothed roll crusher. 4th International Conference on Applied Materials and Manufacturing Technology. Nanchang, China, May 25–27, 2018.
Meng F, Zhang Q, Cheng H (2013). Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized λ-Shapley index. Knowledge-Based Systems 37: 237–249.
Niu J, Cheng L (2012). Classification using improved Mahalanobis-Taguchi system based on omni-optimizer. Systems Engineering - Theory & Practice 32(6): 1324–1336.
Pal J, Maiti J (2010). Development of a hybrid methodology for dimensionality reduction in Mahalanobis-Taguchi system using Mahalanobis distance and binary particle swarm optimization. Expert Systems with Applications 37(2): 1286–1293.
Qin J, Liu X (2013). Study on interval intuitionistic fuzzy multi-attribute group decision making method based on Choquet integral. First International Conference on Information Technology and Quantitative Management. Suzhou, China, May 16–17, 2013.
Qu G, Zhang H, Liu Z, Zhang Z, Zhang Q (2016). Group decision making based on λ-Shapley Choquet integral novel intuitionistic fuzzy TOPSIS method. Systems Engineering - Theory & Practice 36(3): 726–742.
Sugeno M (1974). Theory of Fuzzy Integral and Its Application. Tokyo Institute of Technology, Tokyo.
Taguchi G, Jugulum R (2002). The Mahalanobis-Taguchi Strategy - A Pattern Technology System. New York: Wiley.
Wang S, Du Y, Deng Y (2017). A new measure of identifying influential nodes: Efficiency centrality. Communications in Nonlinear Science and Numerical Simulation 47: 151–163.
Wang Y, Xu Z S (2018). Evaluation of the human settlement in Lhasa with intuitionistic fuzzy analytic hierarchy process. International Journal of Fuzzy Systems 20(1): 9–44.
Xu Z S (2007). Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making. Fuzzy Optimization and Decision Making 6(2): 109–121.
Xu Z S, Yager R (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems 35(4): 417–433.
Xu Z S, Chen J, Wu J (2008). Clustering algorithm for intuitionistic fuzzy sets. Information Sciences 178(19): 3775–3790.
Xu P, Li Y, Mo Y, Wand Z (2018). Identification of key parts within complex mechanical products based on complex networks. Modular Machine Tool & Automatic Manufacturing Technique 536(10): 56–59.
Xu Z S (2013). Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems 15(6): 1179–1187.
Yu, Q, Hou F, Cao J, Liao Y (2019). Method for multiple attribute decision making based on shapley value and cross-entropy with hesitant fuzzy set. Operations Research and Management Science 28(11): 60–67.
Zhang S, Liu, S (2011). A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Systems with Applications 38(9): 11401–11405.
Zhang S, Zeng Q (2014). Components importance degree evaluation of large crane based FMEA and variable weight AHP. Journal of Chongqing University of Technology(Natural Science) 28(5): 34–38.
Zhang X, Xu Z S, Wang H (2015). Heterogeneous multiple criteria group decision making with incomplete weight information: A deviation modeling approach. Information Fusion 25: 49–62.
Zhao S, Han G, Wang W (2016). Artillery testability classification assessment based on fuzzy hierarchy evaluation. Journal of Ordnance Equipment Engineering 37(02): 78–83.
Acknowledgments
The work was supported by National Natural Science Foundation of China under Grant Nos.71471146, 71501158 and 71871182; General Program of Humanities and Social Sciences Research of Ministry of Education of China under Grant No. 20XJA630003; Fundamental Research Funds for the Central Universities under Grant No.3102020JC06 and Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University under Grant No.CX2021095. The authors would like to thank the referees for their efforts to improve the quality of this paper.
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Naiding Yang is a professor and doctoral mentor of School of Management, Northwestern Polytechnical University, Xi’an, China. His research interests include management system engineering, risk management, decision analysis. He is the executive director of Emergency Management Institute of Northwestern Polytechnical University, and a member of Systems Engineering Society of China, Management Science and Engineering Society of China, Project Management Research Committee China, etc.
Mingzhen Zhang is a Ph.D. candidate of School of Management, Northwestern Polytechnical University, Xi’an, China. Her research interests include complex product systems, decision analysis and evolutionary game.
Fangmei Wangdu is a Ph.D. candidate of School of Management, Northwestern Polytechnical University, Xi’an, China. Her research interests include complex products, knowledge heterogeneity, innovation performance.
Ruimeng Li is a lecturer in School of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing, China. She received her PHD in management science and engineering from Northwestern Polytechnical University. Her research interests are management system engineering and project risk management.
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Yang, N., Zhang, M., Wangdu, F. et al. Identification of Critical Components of Complex Product Based on Hybrid Intuitionistic Fuzzy Set and Improved Mahalanobis-Taguchi System. J. Syst. Sci. Syst. Eng. 30, 533–551 (2021). https://doi.org/10.1007/s11518-021-5503-7
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DOI: https://doi.org/10.1007/s11518-021-5503-7