Abstract
The reliability allocation of machine tools which is a multi-attribute decision-making problem has great significance in designment of machine tools. This paper integrates the intuitionistic trapezoidal fuzzy numbers and performance sorting technique based on similar ideal solutions to achieve the flexible allocation of machine tools reliability. Firstly, intuitionistic trapezoidal fuzzy numbers are employed to integrate decisions made by multiple decision-makers and fuzzy information of their preferences. Then, intuitionistic trapezoid fuzzy numbers’ expectations are treated as the weights of criteria. Finally, performance sorting technique based on similar ideal solutions is used to obtain the reliability allocation weight of every subsystem. To investigate the efficacy and simplicity of the provided approach, reliability distribution in a CNC machine tool is introduced as an example to explain its specific contents. It can be concluded that the provided method is more precise and convenient by comparing the results of this approach with those obtained by analytic hierarchy process method.
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The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.
References
He XC (2016) Recent development in reliability analysis of NC machine tools. Int J Adv Manuf Technol 85(1-4):115–131
Yang Z, Zhu YP, Ren HR et al (2015) Comprehensive reliability allocation method for CNC lathes based on cubic transformed functions of failure mode and effects analysis. Chin J Mech Eng 28(2):315–324
Cheng Q, Qi B, Liu Z et al (2019) An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions [J]. Mech Mach Theory 134:1–23
Fan Y, Zhimin X (2020) Multidisciplinary reliability analysis of turbine blade with shape uncertainty by Kriging model and free-form deformation methods. Proc Inst Mech Eng 234(4). https://doi.org/10.1177/1748006X19901041
Chang K-H (2017) A more general reliability allocation method using the hesitant fuzzy linguistic term set and minimal variance OWGA weights. Appl Soft Comput 56:589–596. https://doi.org/10.1016/j.asoc.2016.07.008
Liang XF, Chen LY, Yi H, Li D (2015) Integrated allocation of warship reliability and maintainability based on top-level parameters. Ocean Eng 110:195–204. https://doi.org/10.1016/j.oceaneng.2015.09.056
Liu Y, Fan J, Mu D (2015) Reliability allocation method based on multidisciplinary design optimization for electromechanical equipment. Proc Inst Mech Eng C J Mech Eng Sci 229(14):2573–2585. https://doi.org/10.1177/0954406214560597
Zhang Z, Cai L, Cheng Q, Liu Z, Gu P (2019) A geometric error budget method to improve machining accuracy reliability of multi-axis machine tools. J Intell Manuf 30:495–519. https://doi.org/10.1007/s10845-016-1260-8
Eidi A et al (2017) Implementation of AHP-based reliability allocation for control and monitoring subsystem [J]. Int J Reliab Saf 11(3/4):268–278
Feng Y, Hong Z, Cheng J, Tian G, Zhang H, Tan J (2017) Environmental-friendly reliability allocation for product platform based on expert measurement and ICN [J]. Comput Electr Eng 64
Kim KO, Yoonjung Y, Zuo Ming J (2013) A new reliability allocation weight for reducing the occurrence of severe failure effects. Reliab Eng Syst Saf 117:81–88
Chang YC, Chang KH, Liaw CS (2009) Innovative reliability allocation using the maximal entropy ordered weighted averaging method. Comput Ind Eng 57(4):1274–1281
Kamal M et al (2021) Neutrosophic fuzzy goal programming approach in selective maintenance allocation of system reliability [J]. Complex Intell Syst:1–15
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–356
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Kumar K, Chen S-M (2021) Multiattribute decision making based on interval-valued intuitionistic fuzzy values, score function of connection numbers, and the set pair analysis theory. Inf Sci 551:100–112. https://doi.org/10.1016/j.ins.2020.11.032
Sriramdas V, Chaturvedi SK, Gargama H (2014) Fuzzy arithmetic based reliability allocation approach during early design and development. Expert Syst Appl 41(7):3444–3449
Sivaraman G, Vishnukumar P, Raj MEA (2020) MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers. Soft Comput 24:4283–4293. https://doi.org/10.1007/s00500-019-04193-y
Shakeel M, Abdullah S, Aslam M, Jamil M (2020) Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making. Soft Comput 24:7319–7334. https://doi.org/10.1007/s00500-019-04356-x
Velu LGNA, Selvaraj J, Ponnialagan D (2017) A new ranking principle for ordering trapezoidal intuitionistic fuzzy numbers. Complexity.:1–24
Zhou G et al (2018) A reliability optimization allocation method for the hydraulic system of CNC honing machine considering the operating condition information [J]. Proc Inst Mech Eng C J Mech Eng Sci 232(12):2244–2264
Li ZK, Hong ZX, Feng YX (2016) A Fuzzy arithmetic and DEMATEL integrated method for product reliability allocation in early design stage. 2015 Advanced Design Concepts and Practice (ADCP 2015), pp 284-293
Cheng Q, Qi B, Liu Z, Zhang C, Xue D (2019) An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions. Mech Mach Theory 134:1–23
Ramezani F, Lu J (2012) A new approach for choosing the most appropriate fuzzy ranking algorithm for solving MADM problems, in: Studies in Computational Intelligence. Studies in Computational Intelligence, pp 13–24. https://doi.org/10.1007/978-3-642-24806-1_2
Dutta B, Dao SD, Martínez L, Goh M (2021) An evolutionary strategic weight manipulation approach for multi-attribute decision making: TOPSIS method. Int J Approx Reason 129:64–83. https://doi.org/10.1016/j.ijar.2020.11.004
Vandani B, Mousavi SM, Tavakkoli-Moghaddam R (2011) Group decision making based on novel fuzzy modified TOPSIS method. Appl Math Model 35(9):4257–4269
Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28(12):1162–1171
Kutlu Gündoğdu F, Duleba S, Moslem S, Aydın S (2021) Evaluating public transport service quality using picture fuzzy analytic hierarchy process and linear assignment model. Appl Soft Comput 100:106920. https://doi.org/10.1016/j.asoc.2020.106920
Wang Y-J (2020) Utilization of trapezoidal intuitionistic fuzzy numbers and extended fuzzy preference relation for multi-criteria group decision-making based on individual differentiation of decision-makers. Soft Comput 24:397–407. https://doi.org/10.1007/s00500-019-03921-8
Uluçay V, Deli I, Şahin M (2019) Intuitionistic trapezoidal fuzzy multi-numbers and its application to multi-criteria decision-making problems. Complex Intell Syst 5:65–78. https://doi.org/10.1007/s40747-018-0074-z
Ertuğrul İ, Karakaşoğlu N (2008) Comparison of fuzzy AHP and fuzzy TOPSIS methods for facility location selection. Int J Adv Manuf Technol 39:783–795. https://doi.org/10.1007/s00170-007-1249-8
Sen B, Hussain SAI, Mia M, Mandal UK, Mondal SP (2019) Selection of an ideal MQL-assisted milling condition: an NSGA-II-coupled TOPSIS approach for improving machinability of Inconel 690. Int J Adv Manuf Technol 103:1811–1829. https://doi.org/10.1007/s00170-019-03620-6
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This study was funded by the National Natural Science Foundation of China (No. 51975012), the National Science and Technology Major Special Project (No. 2018ZX04033001), and Beijing Nova Programme Interdisciplinary Cooperation Project (No. Z191100001119010).
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Qiang Cheng: methodology, validation, investigation, formal analysis, writing–review and editing. Chang Wang: writing, methodology, and investigation. Dongyang Sun: resources and overseeing of analysis. Hongyan Chu: supervision and review of experimental setup.
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Cheng, Q., Wang, C., Sun, D. et al. A new reliability allocation method for machine tools using the intuitionistic trapezoidal fuzzy numbers and TOPSIS. Int J Adv Manuf Technol 124, 3689–3700 (2023). https://doi.org/10.1007/s00170-021-07331-9
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DOI: https://doi.org/10.1007/s00170-021-07331-9