Abstract
In the face of aging population, public-funded private-run elderly care agencies can improve the quality of pension service while improving the utilization efficiency of pension resources. To ensure the operation effect of public-funded private-run elderly care agencies, it is necessary to select the appropriate operation mode. To solve this problem, this paper proposes a group decision-making method based on triangular intuitionistic fuzzy preference relations (TIFPRs). First, the multiplicative consistency definition of TIFPRs is given. Based on this definition, problems such as missing information determination, consistency judgment and correction are discussed by constructing the programming models. To ensure the decision-makers to achieve a higher consistency of the decision results, the problem of group consensus is further studied. Finally, through the operation mode selection of the public-funded private-run elderly care agencies, the rationality and effectiveness of the proposed method is illustrated.
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References
Amirkhanyan AA (2007) The smart-seller challenge: exploring the determinants of privatizing public nursing homes. J Publ Adm Res Theor 17(3):501–527
Bergman MA, Johansson P, Lundberg S, Spagnolo G (2016) Privatization and quality: evidence from elderly care in Sweden. J Health Econ 49:109–119
Chen FF, Yang CY (2019) A study on public-funded-private-run operational model of elderly care institutions from the perspective of the government responsibility: a case study of Shanghai. Soc Sec Stud 4:10–18
Chen DF, Zhang L, Jiao JS (2010) Triangle fuzzy number intuitionistic fuzzy aggregation operators and their application to group decision-making. In: International conference on artificial intelligence and computational intelligence, pp 350–357
Dong JY, Wan SP (2016) A new method for multi-attribute group decision-making with triangular intuitionistic fuzzy numbers. Kybernetes 45(1):158–180
Gao Y, Zhou DQ, Liu CC, Zhang L (2012) Triangular fuzzy number intuitionistic fuzzy aggregation operators and their application base on interaction. Syst Eng Theory Pract 32(9):1964–1972
Karaşan A, Kahraman C (2019) A novel intuitionistic fuzzy DEMATEL-ANP-TOPSIS integrated methodology for freight village location selection. J Intell Fuzzy Syst 36(2):1335–1352
Kou G, Peng Y, Chao XR, Herrera-Viedma E (2021) A geometrical method for consensus building in GDM with incomplete heterogeneous preference information. Appl Soft Comput 105:107224
Krejčí J (2019) On extension of multiplicative consistency to interval fuzzy preference relations. Oper Res 19(3):783–815
Liao HC, Xu ZS, Xia MM (2014) Multiplicative consistency of interval-valued intuitionistic fuzzy preference relation. J Intell Fuzzy Syst 27(6):2969–2985
Liu F, Yuan XH (2007) Fuzzy number intuitionistic fuzzy set. Fuzzy Syst Math 21(1):88–91
Liu YJ, Wu J, Liang CY (2015) Attitudinal ranking and correlated aggregating methods for multiple attribute group decision-making with triangular intuitionistic fuzzy Choquet integral. Kybernetes 44(10):1437–1454
Meng FY, Tang J, Wang P, Chen XH (2018) A programming-based algorithm for interval-valued intuitionistic fuzzy group decision-making. Knowl-Based Syst 144(15):122–143
Ming G, Willner S (2017) Swedish politicians’ preferences regarding the privatisation of elderly care. Local Gov Stud 43(1):1–21
Rong Y, Liu Y, Pei Z (2022) A novel multiple attribute decision-making approach for evaluation of emergency management schemes under picture fuzzy environment. Int J Mach Learn Cybern 13:633–661
Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York
Savas ES (2002) Competition and choice in New York City social services. Publ Admin Rev 62(1):82–91
Song H, Yu SH, Sun T (2020) Reducing the quality risk of elderly care services in government procurement from market-oriented private providers through ex ante policy design: lessons from the principal-agent theory analysis. BMC Health Serv Res 20:1135
Tang J, Meng FY, Zhang SL (2021) Consistency comparison analysis of decision-making with intuitionistic fuzzy preference relations. IEEE TrAns Eng Manag 68(4):926–940
Wan SP, Wang QY, Dong JY (2013) The extended VIKOR method for multi-attribute group decision-making with triangular intuitionistic fuzzy numbers. Knowl-Based Syst 52:65–77
Wan SP, Wang F, Lin LL, Dong JY (2016) Some new generalized aggregation operators for triangular intuitionistic fuzzy numbers and application to multi-attribute group decision-making. Comput Ind Eng 93:286–301
Wan SP, Lin LL, Dong JY (2017) MAGDM based on triangular Atanassov’s intuitionistic fuzzy information aggregation. Neural Comput Appl 28:2687–2702
Wang XF (2008) Fuzzy number intuitionistic fuzzy arithmetic aggregation operators. Int J Fuzzy Syst 10(2):104–111
Wang YJ, Yu H, Shi F (2019) Study on the security of information system authentication scheme based on the fuzzy number intuitionistic fuzzy information. J Intell Fuzzy Syst 37(2):1629–1637
Wei GW, Zhao XF, Lin R (2010) Some induced aggregating operators with fuzzy number intuitionistic fuzzy information and their applications to group decision-making. Int J Comput Intell Syst 3(1):84–95
Wu WY, Ni ZW, Jin FF, Song J (2022) Decision support model with Pythagorean fuzzy preference relations and its application in financial early warnings. Complex Intell Syst 8:443–466
Xu ZS (2007a) Intuitionistic preference relations and their application in group decision-making. Inf Sci 177(11):2363–2379
Xu ZS (2007b) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision-making. Control Decis 22(2):215–219
Xu B (2020) Methods for evaluating the computer network security with fuzzy number intuitionistic fuzzy dual Hamy mean operators. J Intell Fuzzy Syst 39(3):4427–4441
Xu ZS, Cai XQ (2009) Incomplete interval-valued intuitionistic fuzzy preference relations. Int J Gen Syst 38(8):871–886
Xu J, Dong JY, Wan SP, Yang DY, Zeng YF (2019) A heterogeneous multiattribute group decision-making method based on intuitionistic triangular fuzzy information. Complexity 3:9846582
Yang X, Jiang H, Zhang HK (2021) The operation mode and implementation effect evaluation of public-funded-private-run elderly care institutions. Soc Sec Stud. https://kns.cnki.net/kcms/detail/42.1792.f.20210914.1759.002.html
Yu DJ (2013) Prioritized information fusion method for triangular intuitionistic fuzzy set and its application to teaching quality evaluation. Int J Intell Syst 8(5):411–435
Zhang SL, Tang J, Meng FY, Yuan RP (2021) A group decision-making method with interval-valued intuitionistic fuzzy preference relations and its application in the selection of cloud computing vendors for SMEs. Informatica 32(1):163–193
Zhao BF, Zhang C, Jia BS, Zhai CX, Ren HZ, Guo JW (2016) Research on application of TIFNs-AHP to safety investment in coal enterprises. China Saf Sci J 26(3):145–150
Zhou XH, Yao J (2014) Triangular fuzzy number intuitionistic fuzzy power averaging operator and its application. Acta Anal Funct Appl 16(4):308–314
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 71571192) and the Changsha Municipal Natural Science Foundation (No. kq2202112).
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Communicated by Graçaliz Pereira Dimuro.
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Li, X., Zhang, S. & Meng, F. Operation mode selection of public-funded private-run elderly care agencies based on triangular intuitionistic fuzzy preference relations group decision-making. Comp. Appl. Math. 41, 346 (2022). https://doi.org/10.1007/s40314-022-02050-7
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DOI: https://doi.org/10.1007/s40314-022-02050-7
Keywords
- Group decision-making
- TIFPR
- Multiplicative consistency
- Consensus
- Public-funded private-run elderly care agencies