Abstract
The weighted averaging operators are one of the popular methods for aggregating information. In recent years, ordered weighted averaging operators (OWA) have attained a great attention by researchers. These OWA operators due to their versatility are very useful to model many real world situations. Several extensions of OWA operators are presented in the literature which can handle a situation with uncertainty. Although many queuing models have been proposed in numerous healthcare studies, the inclusion of OWA operators is still rare. In this research study, we propose a novel method using the uncertain generalized ordered weighted average and illustrate its application to the uncertain queue modeling in a hospital emergency room; where incoming flux of patients and the required level of service for each patient is unknown and uncertain. The model with multilateral decision making process has been described which will provide several alternatives to decision makers to select the best alternative for their challenging situations. The proposed method has resulted an improved performance of the queuing system, increased customer satisfaction as well as a significant reduction in the operational cost. This study will enable decision makers to operate a flexible and cost-effective system in the event of uncertainty, uncontrollable and unpredicted situations.
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References
Ahn BS (2007) The OWA aggregation with uncertain descriptions on weights and input arguments. IEEE Trans Fuzzy Syst 15(6):1130–1134
Beliakov G (2005) Learning weights in the generalized OWA operators. Fuzzy Optim Decis Mak 4(2):119–130
Blanco-Mesa F, Merigó JM, Gil-Lafuente AM (2017) Fuzzy decision making: a bibliometric-based review. J Intell Fuzzy Syst 32(3):2033–2050
Blanco-Mesa F, León-Castro E, Merigó JM (2019a) A bibliometric analysis of aggregation operators. Appl Soft Comput J 81:105488
Blanco-Mesa F, Leon-Castro E, Merigó JM, Xu ZS (2019b) Bonferroni means with induced OWA operators. Int J Intell Syst 34(1):3–23
Cheng C-H, Wang J-W, Wu M-C (2009) OWA-weighted based clustering method for classification problem. Expert Syst Appl 36(3):4988–4995
Dujmović JJ (1974) Weighted conjunctive and disjunctive means and their application in system evaluation. Publikacije Elektrotehničkog fakulteta. Serija Matematika i fizika, pp 147–158
Dyckhoff H, Pedrycz W (1984) Generalized means as model of compensative connectives. Fuzzy Sets Syst 14(2):143–154
Emrouznejad A, Marra M (2016) Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int J Intell Syst 29(11):994–1014
Fahmi A, Abdullah S, Amin F, Asada A, Khan WA (2018) Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making. J Intell Fuzzy Syst 35(2):2485–2499
Grabisch M, Marichal J-L, Mesiar R, Pap E (2009) Aggregation functions. Cambridge University Press, Cambridge
Holt J, Leach AW (2019) Linguistic variables as fuzzy sets to model uncertainty in the combined efficacy of multiple phytosanitary measures in pest risk analysis. Ecol Model 406:73–79
Kacprzyk J, Zadrożny S (2009) Towards a general and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via the ordered weighted average operators. Int J Intell Syst 24(1):4–26
Kacprzyk J, Yager RR, Merigó JM (2019) Towards human centric aggregation via the ordered weighted aggregation operators and linguistic data summaries: a new perspective on Zadeh’s inspirations. IEEE Comput Intell Mag 14(1):16–30
Karayiannis NB (2000) Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators. IEEE Trans Neural Netw 11(5):1093–1105
Levy Y, Yechiali U (1976) An M/M/s queue with servers’ vacations. INFOR: Inform Sys Oper Res 14(2):153–163
Little JD, Graves SC (2008) Little’s law. Building intuition. Springer, Berlin, pp 81–100
Merigó JM (2010) Fuzzy decision making with immediate probabilities. Comput Ind Eng 58(4):651–657
Merigó JM, Casanovas M (2011) The uncertain generalized OWA operator and its application in financial decision making. Int J Inf Technol Decis Mak 10(2):211–230
Merigó JM, Lafuente AG (2010) New decision-making techniques and their application in the selection of financial products. Inf Sci 180(11):2085–2094
Merigó JM, Lafuente AG (2008) The generalized adequacy coefficient and its application in strategic decision making. Fuzzy Econ Rev 13(2):17
Merigó JM, Zhou LG, Yu D, Alrajeh N, Alnowibet K (2018) Probabilistic OWA distances applied to asset management. Soft Comput 22(15):4855–4878
Paksoy T, Çalik A, Yildizbaşi A, Huber S (2019) Risk management in Lean and Green supply chain: a novel fuzzy linguistic risk assessment approach. In: International series in operations research and management science, vol 273. Springer, Cham
Servi LD, Finn SG (2002) M/M/1 queues with working vacations (m/m/1/wv). Perform Evaluat 50(1):41–52
Sindhu MS, Rashid T, Kashif A, Guirao LG (2019) Multiple criteria decision making based on probabilistic interval-valued hesitant fuzzy sets by using LP methodology. Discrete Dyn Nat Soc 1–12
Som BK (2016) Decision making uncertain environment—a queuing theory approach. Int J Adv Eng Manag Sci (IJAEMS) 2(6):808–816
Tang X, Wei G (2019) Multiple attribute decision-making with dual hesitant pythagorean fuzzy information. Cogn Comput 11(2):193–211
Tang X, Wei G, Gao H (2019) Models for multiple attribute decision making with interval-valued pythagorean fuzzy muirhead mean operators and their application to Green suppliers selection. Informatica 30(1):153–186
Torra V, Narukawa Y (2007) Modeling decisions: information fusion and aggregation operators. Springer, Berlin
Wang R, Wang J, Gao H, Wei G (2019a) Methods for MADM with picture fuzzy muirhead mean operators and their application for evaluating the financial investment risk. Symmetry 11(1):1–21
Wang J, Gao H, Wei G (2019b) The generalized Dice similarity measures for Pythagorean fuzzy multiple attribute group decision making. Int J Intell Syst 34(6):1158–1183
Xu Z (2009) Fuzzy harmonic mean operators. Int J Intell Syst 24(2):152–172
Xu Z (2010) Choquet integrals of weighted intuitionistic fuzzy information. Inf Sci 180(5):726–736
Xu Z, Da Q-L (2002) The uncertain OWA operator. Int J Intell Syst 17(6):569–575
Xu Z, Da Q-L (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969
Yager R (1988a) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18:183–190
Yager R (1988b) Families of OWA operators. Fuzzy Sets Syst 59(125448):49–73
Yager RR (2004) Generalized OWA aggregation operators. Fuzzy Optim Decis Mak 3(1):93–107
Yager RR (2009a) Weighted maximum entropy OWA aggregation with applications to decision making under risk. IEEE Trans Syst Man Cybern Part A Syst Hum 39(3):555–564
Yager RR (2009b) Prioritized OWA aggregation. Fuzzy Optim Decis Mak 8(3):245–262
Yager RR (2009c) On the dispersion measure of OWA operators. Inf Sci 179(22):3908–3919
Zhang S, Gao H, Wei G, Wei Y, Wei C (2019) Evaluation based on distance from average solution method for multiple criteria group decision making under picture 2-tuple linguistic environment. Mathematics 7(243):1–16
Acknowledgments
The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No (RG- 1436-040). Valuable comments given by the reviewers is also appreciated.
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Ahmad, S., Alnowibet, K., Alqasem, L. et al. Generalized OWA operators for uncertain queuing modeling with application in healthcare. Soft Comput 25, 4951–4962 (2021). https://doi.org/10.1007/s00500-020-05507-1
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DOI: https://doi.org/10.1007/s00500-020-05507-1