Abstract
Due to the fuzziness of healthcare, the probabilistic linguistic term set (PLTS) is the appropriate technique to assist health experts express their evaluations in the patient prioritization problem. This paper proposes a new method based on the integration of prioritized averaging (PA) and Maclaurin symmetric mean (MSM) operator within the probabilistic linguistic environment. According to the prioritization relationship of the experts and the criteria set, we employ the PA to define the priority degrees. Keeping to the merits of the PA and MSM operators, we develop some novel aggregation operators for probabilistic linguistic information. Particularly, we develop the probabilistic linguistic prioritized Maclaurin symmetric mean (PLPMSM) and probabilistic linguistic prioritized dual Maclaurin symmetric mean (PLPDMSM) operators. Some accompanying properties and useful remarks of these operators are examined. Moreover, we formulate a new ranking procedure for probabilistic linguistic multi-criteria group decision making (PLMCGDM) based on the extended WASPAS method. A patients’ prioritization problem is analyzed to depict the usefulness and robustness of the proposed method.
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Akram M, Alsulami S, Khan A, Karaaslan F (2020) Multi-criteria group decision-making using spherical fuzzy prioritized weighted aggregation operators. Int J Comput Intell Syst 13(1):1429–1446
Ashour OM, Kremer GEO (2016) Dynamic patient grouping and prioritization: a new approach to emergency department flow improvement. Health Care Manag Sci 19(2):192–205
Bai CZ, Zhang R, Qian LX, Wu YN (2017) Comparisons of probabilistic linguistic term sets for multi-criteria decision making. Knowl-Based Syst 119:284–291
Davodabadi A, Daneshian B, Saati S, Razavyan S (2021) Prioritization of patients in ICU: composite approach of multiple-criteria decision-making and discrete event simulation. Brazil J Oper Prod Manag 18(1):2021975. https://doi.org/10.14488/BJOPM.2021.008
Detemple D, Robertson J (1979) On generalized symmetric means of two variables. Univ Beograd Publ Elektrotehn Fak 634(/677):236–238
Dong JY, Wan SP (2016) A new method for prioritized multi-criteria group decision making with triangular intuitionistic fuzzy numbers. J Intell Fuzzy Syst 30:1719–1733
Du Y, Liu D (2021) A novel approach for probabilistic linguistic multiple attribute decision making based on dual muirhead mean operators and VIKOR. Int J Fuzzy Syst 23(1):243–261. https://doi.org/10.1007/s40815-020-00897-8
Fahmi A, Yaqoob N, Chammam W (2021) Maclaurin symmetric mean aggregation operators based on cubic Pythagorean linguistic fuzzy number. J Ambient Intell Human Comput 12(2):1925–1942
Gou XJ, Xu ZS (2016) Novel basic operational laws for linguistic terms, hesitant fuzzy linguistic term sets and probabilistic linguistic term sets. Inf Sci 372:407–427
Kalender ZT, Tozan H, Vayvay O (2020) Prioritization of medical errors in patient safety management: Framework using interval-valued intuitionistic fuzzy sets. Healthcare 8:265. https://doi.org/10.3390/healthcare8030265
Kirchhoffer D (2020) Dignity, autonomy, and allocation of scarce medical resources during COVID-19. Bioeth Inq 17:691–696. https://doi.org/10.1007/s11673-020-09998-3
Kobina A, Darko AP (2019) Probabilistic linguistic aggregation operators based on Einstein t-norm and t-conorm and their application in multi-criteria group decision making. Symmetry 11(1):39. https://doi.org/10.3390/sym11010039
Krishankumar R, Saranya R, Nethra RP, Ravichandran KS, Kar S (2019) A decision-making framework under probabilistic linguistic term set for multi-criteria group decision-making problem. J Intell Fuzzy Syst 36(6):5783–5795. https://doi.org/10.3233/JIFS-181633
Liang DC, Kobina A, Quan W (2018) Grey relational analysis method for probabilistic linguistic multi-criteria group decision-making based on geometric Bonferroni mean. Int J Fuzzy Syst 20(7):2234–2244
Liang D, Dai Z, Wang M (2021) Assessing customer satisfaction of O2O takeaway based on online reviews by integrating fuzzy comprehensive evaluation with AHP and probabilistic linguistic term sets. Appl Soft Comput 98:106847
Liao H, Jiang L, Lev B, Fujita H (2019) Novel operations of PLTSs based on the disparity degrees of linguistic terms and their use in designing the probabilistic linguistic ELECTRE III method. Appl Soft Comput 80:450–464
Liu PD, Zhang XH (2018) Some Maclaurin symmetric mean operators for single-valued trapezoidal neutrosophic numbers and their applications to group decision making. Int J Fuzzy Syst 20(1):45–61
Luo Y, Zhang X, Qin Y, Yang Z, Liang Y (2021) Tourism attraction selection with sentiment analysis of online reviews based on probabilistic linguistic term sets and the IDOCRIW-COCOSO Model. Int J Fuzzy Syst 23(1):295–308
Maclaurin C (1729) A second letter to Martin Folkes, Esq.; concerning the roots of equations, with demonstration of other rules of algebra. Philos Trans R Soc Lond Ser A 36:59–96
Mishra AR, Rani P (2018) Interval-valued intuitionistic fuzzy WASPAS method: Application in reservoir flood control management policy. Group Decis Negot 27(6):1047–1078
Mishra AR, Singh RK, Motwani D (2018) Multi-criteria assessment of cellular mobile telephone service providers using intuitionistic fuzzy WASPAS method with similarity measures. Granular Computing. https://doi.org/10.1007/s41066-018-0114-5
Mu Z, Zeng S, Wang P (2021) Novel approach to multi-attribute group decision-making based on interval-valued Pythagorean fuzzy power Maclaurin symmetric mean operator. Comput Ind Eng 155:107049
Pang Q, Wang H, Xu ZS (2016) Probabilistic linguistic term sets in multi-attribute group decision making. Inf Sci 369:128–143
Qin JD, Liu XW (2015) Approaches to uncertain linguistic multiple attribute decision making based on dual Maclaurin symmetric mean. J Intell Fuzzy Syst 29:171–186
Riaz M, Pamucar D, Athar Farid HM, Raza M (2020) Q-rung orthopair fuzzy prioritized aggregation operators and their application towards green supplier chain management. Symmetry 12(6):976
Rodriguez RM, Martinez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20:109–119
Sun RX, Hu JH, Zhou JD, Chen XH (2018) A hesitant fuzzy linguistic projection-based MABAC method for patients’ prioritization. Int J Fuzzy Syst 20(7):2144–2160
Wan SP, Dong JY, Yang DY (2015) Trapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making. Iran J Fuzzy Syst 12(4):1–32
Wang L, Rong L, Teng F, Liu P (2021) Teaching performance evaluation based on the proportional hesitant fuzzy linguistic prioritized choquet aggregation operator. Int J Comput Intell Syst 14(1):635–650
Yager RR (2008) Prioritized aggregation operators. Int J Approx Reason 48(1):263–274
Zavadskas EK, Turskis Z, Antucheviciene J, Zakarevicius A (2012) Optimization of weighted aggregated sum product assessment. Electron Electr Eng 6:3–6
Zavadskas EK, Kalibatas D, Kalibatiene D (2016) A multi-attribute assessment using WASPAS for choosing an optimal indoor environment. Arch Civil Mech Eng 16:76–85
Zhang C, Wu XL, Wu D, Liao HC, Luo L, Herrera-Viedma E (2018) An intuitionistic multiplicative ORESTE method for patients’ prioritization of hospitalization. Int J Environ Res Publ Health 15(4):777. https://doi.org/10.3390/ijerph15040777
Zhang FY, Luo L, Liao HC, Zhu T, Shi YC, Shen WW (2016) Inpatient admission assessment in West China Hospital based on hesitant fuzzy linguistic VIKOR method. Int J Fuzzy Syst 30:3143–3154
Zhang XL (2016) A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making. Int J Intell Syst 31:593–611
Zhou X, Ji F, Wang L, Ma Y, Fujita H (2020) Particle swarm optimization for trust relationship based social network group decision making under a probabilistic linguistic environment. Knowl-Based Syst 200:105999. https://doi.org/10.1016/j.knosys.2020.105999
Zolnoori M, McDonald M, Barron Y, Cato K, Sockolow P, Sridharan S, Onorato N, Bowles K, Topaz M (2021) Improving patient prioritization during hospital-homecare transition: Protocol for a mixed methods study of a clinical decision support tool implementation. JMIR Res Protoc 10(1):e20184. https://doi.org/10.2196/20184
Acknowledgements
This work is partially supported by the National Natural Science Foundation of China (No. 72071030), the National Key R&D Program of China (No. 2020YFB1711900), the Planning Fund for the Humanities and Social Sciences of Ministry of Education of China (No. 19YJA630042) and the Social Science Planning Project of the Sichuan Province (No. SC20C007).
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Darko, A.P., Liang, D. Probabilistic linguistic WASPAS method for patients’ prioritization by developing prioritized Maclaurin symmetric mean aggregation operators. Appl Intell 52, 9537–9555 (2022). https://doi.org/10.1007/s10489-021-02807-3
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DOI: https://doi.org/10.1007/s10489-021-02807-3