Abstract
Uncertain and fuzzy linguistic variables are oftenly used to express evaluation information of experts in group decision making approaches. To recognize the limits of human cognition and subjectivity of human evaluations, several fuzzy numbers based approaches have been studied to select remanufacturing alternatives in decision making processes, however these methods have certain deficiencies such as lacking manipulation tools of diverse information, additional adjustments and suppositions, ignoring randomness in experts’ judgements and lack of mechanism tools to evaluate interrelationship among remanufacturing criteria. The accurate analysis of engineering characteristics in remanufacturing phase is vital for worn and aged products as it can effectively determine the orientation of subsequent remanufacturing practice strategies. In this research paper, a novel remanufacturing machine tool assessment approach is proposed by integrating dual interval rough integrated cloud model with complex proportional assessment (COPRAS) method. The dual interval rough integrated cloud COPRAS method is constructed using hybrid weighting scheme by computing subjective and objective weights with an effective new variance formula for interval clouds. The alternatives are ranked based on maximizing and minimizing indices, and relative significant coefficients. Finally, the proposed hybrid COPRAS method is illustrated with an example of remanufacturing of machine tool models for gear hobbing machines, machining centers and lathe. An improved modified version of dual interval rough integrated TOPSIS method is also proposed and compared with hybrid COPRAS method. The cost factor of remanufacturing criteria is added in the normalization method to get more appropriate and reliable results. The ranking results are analyzed for both considering and ignoring the cost criteria. The efficacy out-performance of proposed methods is compared with existing approaches based on fuzzy numbers, rough numbers and their hybrid models.
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References
Akram M, Zafar F (2018) Multi-criteria decision-making methods under soft rough fuzzy knowledge. J Intell Fuzzy Syst 35(3):3507–3528
Akram M, Zahid S (2023) Group decision-making method with Pythagorean fuzzy rough number for the evaluation of best design concept. Granul Comput. https://doi.org/10.1007/s41066-023-00391-0
Akram M, Kahraman C, Zahid K (2021a) Extension of TOPSIS model to the decision-making under complex spherical fuzzy information. Soft Comput 25(16):10771–10795
Akram M, Peng X, Sattar A (2021b) A new decision-making model using complex intuitionistic fuzzy Hamacher aggregation operators. Soft Comput 25(10):7059–7086
Akram M, Niaz Z, Feng F (2022) Extended CODAS method for multi-attribute group decision-making based on 2-tuple linguistic Fermatean fuzzy Hamacher aggregation operators. Granul Comput 8(3):441–466
Akram M, Shahzadi S, Bibi R, Santos-García G (2023a) Extended group decision-making methods with 2-tuple linguistic Fermatean fuzzy sets. Soft Comput. https://doi.org/10.1007/s00500-023-08158-0
Akram M, Noreen U, Deveci M (2023b) Enhanced ELECTRE II method with 2-tuple linguistic m-polar fuzzy sets for multi-criteria group decision making. Expert Syst Appl 213(C):119237
Ansari ZN, Kant R, Shankar R (2020) Evaluation and ranking of solutions to mitigate sustainable remanufacturing supply chain risks: a hybrid fuzzy SWARA-fuzzy COPRAS framework approach. Int J Sustain Eng 13(6):473–494
Cao H, Chen X, Xu L, Ma E (2014) A reuse-oriented redesign method of used machine tool based on matter-element theory. Int J Precis Eng Manuf 15(5):921–928
Chakraborty K, Mondal S, Mukherjee K (2017) Analysis of product design characteristics for remanufacturing using fuzzy AHP and axiomatic design. J Eng Design 28(5):338–368
Chen Z, Ming X (2020) A rough-fuzzy approach integrating best-worst method and data envelopment analysis to multi-criteria selection of smart product service module. Appl Soft Comput 94:106479
Deng Q, Liu X, Liao H (2015) Identifying critical factors in the eco-efficiency of remanufacturing based on the fuzzy DEMATEL method. Sustainability 7(11):15527–15547
Deveci M, Özcan E, John R, Pamucar D, Karaman H (2021) Offshore wind farm site selection using interval rough numbers based best worst method and MARCOS. Appl Soft Comput 109:107532
Deveci M, Erdogan N, Pamucar D, Kucuksari S, Cali U (2023) A rough Dombi Bonferroni based approach for public charging station type selection. Appl Energy 345:121258
Ding J, Chen W, Wang W (2020) Production and carbon emission reduction decisions for remanufacturing firms under carbon tax and take-back legislation. Comput Ind Eng 143:106419
Du Y, Zheng Y, Wu G, Tang Y (2020) Decision-making method of heavy-duty machine tool remanufacturing based on AHP-entropy weight and extension theory. J Clean Prod 252:119607
Du Y, Wu G, Tang Y, Liu S (2022) A two-stage reliability allocation method for remanufactured machine tools integrating neural networks and remanufacturing coefficient. Comput Ind Eng 163:107834
Ecer F, Pamucar D, Mardani A, Alrasheedi M (2021) Assessment of renewable energy resources using new interval rough number extension of the level based weight assessment and combinative distance-based assessment. Renew Energy 170:1156–1177
Farrokhizadeh E, Seyfi-Shishavan SA, Gündoğdu FK, Donyatalab Y, Kahraman C, Seifi SH (2021) A spherical fuzzy methodology integrating maximizing deviation and TOPSIS methods. Eng Appl Artif Intell 101:104212
Fouladgar MM, Yazdani-Chamzini A, Lashgari A, Zavadskas EK, Turskis Z (2012) Maintenance strategy selection using AHP and COPRAS under fuzzy environment. Int J Strateg Prop Manag 16(1):85–104
Gokasar I, Deveci M, Isik M, Daim T, Zaidan AA, Smarandache F (2023) Evaluation of the alternatives of introducing electric vehicles in developing countries using Type-2 neutrosophic numbers based RAFSI model. Technol Forecast Soc Change 192:122589
Govindan K, Kadziński M, Ehling R, Miebs G (2019) Selection of a sustainable third-party reverse logistics provider based on the robustness analysis of an outranking graph kernel conducted with ELECTRE I and SMAA. Omega 85:1–15
He YH, Wang LB, He ZZ, Xie M (2016) A fuzzy TOPSIS and rough set based approach for mechanism analysis of product infant failure. Eng Appl Artif Intell 47:25–37
Hezam IM, Mishra AR, Rani P, Saha A, Smarandache F, Pamucar D (2023) An integrated decision support framework using single-valued neutrosophic-MASWIP-COPRAS for sustainability assessment of bioenergy production technologies. Expert Syst Appl 211:118674
Huang G, Xiao L, Zhang G (2021a) Assessment and prioritization method of key engineering characteristics for complex products based on cloud rough numbers. Adv Eng Inform 49:101309
Huang G, Xiao L, Zhang G (2021b) Decision-making model of machine tool remanufacturing alternatives based on dual interval rough number clouds. Eng Appl Artif Intell 104:104392
Irfan M, Elavarasan RM, Ahmad M, Mohsin M, Dagar V, Hao Y (2022) Prioritizing and overcoming biomass energy barriers: application of AHP and G-TOPSIS approaches. Technol Forecast Soc Change 177:121524
Jiang Z, Zhou T, Zhang H, Wang Y, Cao H, Tian G (2016) Reliability and cost optimization for remanufacturing process planning. J Clean Prod 135:1602–1610
Jiang X, Song B, Li L, Dai M, Zhang H (2019) The customer satisfaction-oriented planning method for redesign parameters of used machine tools. Int J Prod Res 57(4):1146–1160
Jin M, Nie J, Yang F, Zhou Y (2017) The impact of third-party remanufacturing on the forward supply chain: a blessing or a curse? Int J Prod Res 55(22):6871–6882
Kaur G, Garg H (2019) Generalized cubic intuitionistic fuzzy aggregation operators using t-norm operations and their applications to group decision-making process. Arab J Sci Eng 44(3):2775–2794
Kazancoglu Y, Ozkan-Ozen YD (2020) Sustainable disassembly line balancing model based on triple bottom line. Int J Prod Res 58(14):4246–4266
Khan A, Ahmad U, Shahzadi S (2023) A new decision analysis based on 2-tuple linguistic q-rung picture fuzzy ITARA-VIKOR method. Soft Comput. https://doi.org/10.1007/s00500-023-08263-0
Kumar P, Tandon P (2022) Design decision in the manufacturing environment using an improved multiple-criteria performance evaluation method. Arab J Sci Eng 47(3):1–12
Li D, Du Y (2017) Artificial intelligence with uncertainty. CRC Press, Boca Raton
Li D, Haijun M, Xuemei S (1995) Membership clouds and membership cloud generators. J Comput Res Dev 32(6):15–20
Li D, Liu C, Gan W (2009) A new cognitive model: cloud model. Int J Intell Syst 24(3):357–375
Li J, Fang H, Song W (2019a) Modified failure mode and effects analysis under uncertainty: a rough cloud theory-based approach. Appl Soft Comput 78:195–208
Li J, Fang H, Song W (2019b) Sustainable supplier selection based on SSCM practices: a rough cloud TOPSIS approach. J Clean Prod 222:606–621
Li H, Wang W, Fan L, Li Q, Chen X (2020) A novel hybrid MCDM model for machine tool selection using fuzzy DEMATEL, entropy weighting and later defuzzification. VIKOR Appl Soft Comput 91:106207
Liu L, Cheng W, Li B, Wang R (2016) Analysis of the mechanical dynamic performance for the CNC machine spindle remanufacturing. Integr Ferroelectr 170(1):65–72
Liu HC, Li Z, Song W, Su Q (2017) Failure mode and effect analysis using cloud model theory and PROMETHEE method. IEEE Trans Reliab 66(4):1058–1072
Liu HC, Wang LE, Li Z, Hu YP (2018) Improving risk evaluation in FMEA with cloud model and hierarchical TOPSIS method. IEEE Trans Fuzzy Syst 27(1):84–95
Liu P, Gao H, Fujita H (2021) The new extension of the MULTIMOORA method for sustainable supplier selection with intuitionistic linguistic rough numbers. Appl Soft Comput 99:106893
Mei M, Chen Z (2021) Evaluation and selection of sustainable hydrogen production technology with hybrid uncertain sustainability indicators based on rough-fuzzy BWM-DEA. Renew Energy 165:716–730
Mishra AR, Liu P, Rani P (2022) COPRAS method based on interval-valued hesitant Fermatean fuzzy sets and its application in selecting desalination technology. Appl Soft Comput 119:108570
Mubin A, Utama DM, Nusantara RC (2022) Manufacturing sustainability assessment comprising physical and mental workload: an integrated modified SVSM and AHP approach. Process Integr Optim Sustain. https://doi.org/10.1007/s41660-022-00300-z
Pamučar D, Mihajlović M, Obradović R, Atanasković P (2017) Novel approach to group multi-criteria decision making based on interval rough numbers: hybrid DEMATEL-ANP-MAIRCA model. Expert Syst Appl 88:58–80
Pamučar D, Stević Ž, Zavadskas EK (2018) Integration of interval rough AHP and interval rough MABAC methods for evaluating university web pages. Appl Soft Comput 67:141–163
Pamučar D, Chatterjee K, Zavadskas EK (2019) Assessment of third-party logistics provider using multi-criteria decision-making approach based on interval rough numbers. Comput Ind Eng 127:383–407
Qiao H, Su Q (2021) Impact of government subsidy on the remanufacturing industry. Waste Manag 120:433–447
Salimian S, Mousavi SM (2022) A multi-criteria decision-making model with interval-valued intuitionistic fuzzy sets for evaluating digital technology strategies in COVID-19 pandemic under uncertainty. Arab J Sci Eng. https://doi.org/10.1007/s13369-022-07168-8
Sarwar M (2020) Decision-making approaches based on color spectrum and D-TOPSIS method under rough environment. Comput Appl Math 39(4):1–32
Sarwar M (2023a) Decision making model for design concept evaluation based on interval rough integrated cloud VIKOR. J Ambient Intell Humaniz Comput 14(4):3875–3897
Sarwar M (2023b) Improved assessment model for health-care waste management based on dual 2-tuple linguistic rough number clouds. Eng Appl Artif Intell 123:106255
Sarwar M, Akram M, Liu P (2021) An integrated rough ELECTRE II approach for risk evaluation and effects analysis in automatic manufacturing process. Artif Intell Rev 54(6):4449–4481
Sarwar M, Akram M, Shahzadi S (2023a) Distance measures and \(\delta \)-approximations with rough complex fuzzy models. Granul Comput 8(5):893–916
Sarwar M, Ali G, Chaudhry NR (2023b) Decision-making model for failure modes and effect analysis based on rough fuzzy integrated clouds. Appl Soft Comput 136:110148
Sengupta A, Pal TK (2000) On comparing interval numbers. Eur J Oper Res 127(1):28–43
Shahzadi S, Sarwar M, Akram M (2020) Decision-making approach with fuzzy type-2 soft graphs. J Math 2020:8872446
Song S, Liu M, Ke Q, Huang H (2015) Proactive remanufacturing timing determination method based on residual strength. Int J Prod Res 53(17):5193–5206
Song Y, Yao H, Yao S, Yu D, Shen Y (2017) Risky multicriteria group decision making based on cloud prospect theory and regret feedback. Math Probl Eng 2017:9646303
Song W, Zhu Y, Zhou J, Chen Z, Zhou J (2021) A new rough cloud AHP method for risk evaluation of public-private partnership projects. Soft Comput 26(4):2045–2062
Wan SP, Xu GL, Dong JY (2017) Supplier selection using ANP and ELECTRE II in interval 2-tuple linguistic environment. Inf Sci 385:19–38
Wang P, Liu Y, Ong SK, Nee AYC (2014) Modular design of machine tools to facilitate design for disassembly and remanufacturing. In: 21st Cirp conference on life cycle engineering, vol 15, pp 443–448
Wang X, Fang H, Song W (2020) Technical attribute prioritisation in QFD based on cloud model and grey relational analysis International. J Prod Res 58(19):5751–5768
Wu Z, Xu J (2016) Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65:28–40
Xiao L, Huang G, Zhang G (2021) Improved assessment model for candidate design schemes with an interval rough integrated cloud model under uncertain group environment. Eng Appl Artif Intell 104:104352
Yang X, Yan L, Zeng L (2013) How to handle uncertainties in AHP: the cloud Delphi hierarchical analysis. Inf Sci 222:384–404
Yuan Y, Xu Z, Zhang Y (2022) The DEMATEL-COPRAS hybrid method under probabilistic linguistic environment and its application in third party logistics provider selection. Fuzzy Optim Decis Making 21(1):137–156
Zafar F, Akram M (2018) A novel decision-making method based on rough fuzzy information. Int J Fuzzy Syst 20(3):1000–1014
Zavadskas EK, Kaklauskas A, Turskis Z, Tamosaitiene J (2008) Contractor selection multi-attribute model applying COPRAS method with grey interval numbers. In: 20th International conference/euro mini conference on continuous optimization and knowledge-based technologies (EurOPT 2008), pp 241–247
Zhai LY, Khoo LP, Zhong ZW (2009) Design concept evaluation in product development using rough sets and grey relation analysis. Expert Syst Appl 36(3):7072–7079
Zhan J, Masood Malik H, Akram M (2019) Novel decision-making algorithms based on intuitionistic fuzzy rough environment. Int J Mach Learn Cybern 10(6):1459–1485
Zhang X, Zhang H, Jiang Z, Wang Y (2015) An integrated model for remanufacturing process route decision. Int J Comput Integr Manuf 28(5):451–459
Zhang X, Zhang S, Zhang L, Xue J, Sa R, Liu H (2019) Identification of product’s design characteristics for remanufacturing using failure modes feedback and quality function deployment. J Clean Prod 239:117967
Zhang S, Xiang M, Xu Z, Wang L, Zhang C (2020) Evaluation of water cycle health status based on a cloud model. J Clean Prod 245:118850
Zhang X, Li Z, Wang Y, Yan W (2021) An integrated multicriteria decision-making approach for collection modes selection in remanufacturing reverse logistics. Processes 9(4):631
Zhu GN, Hu J, Ren H (2020) A fuzzy rough number-based AHP-TOPSIS for design concept evaluation under uncertain environments. Appl Soft Comput 91:106228
Zhu GN, Ma J, Hu J (2021) Evaluating biological inspiration for biologically inspired design: an integrated DEMATEL-MAIRCA based on fuzzy rough numbers. Int J Intell Syst 36(10):6032–6065
Zhu GN, Ma J, Hu J (2022) A fuzzy rough number extended AHP and VIKOR for failure mode and effects analysis under uncertainty. Adv Eng Inform 51:101454
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Sarwar, M., Ali, G., Shahzadi, S. et al. Dual interval rough integrated cloud COPRAS method: a novel hybrid assessment model for remanufacturing system selection. Soft Comput (2023). https://doi.org/10.1007/s00500-023-09327-x
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DOI: https://doi.org/10.1007/s00500-023-09327-x