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Generalized OWA operators for uncertain queuing modeling with application in healthcare

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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

    Article  Google Scholar 

  • Beliakov G (2005) Learning weights in the generalized OWA operators. Fuzzy Optim Decis Mak 4(2):119–130

    Article  MathSciNet  Google Scholar 

  • Blanco-Mesa F, Merigó JM, Gil-Lafuente AM (2017) Fuzzy decision making: a bibliometric-based review. J Intell Fuzzy Syst 32(3):2033–2050

    Article  Google Scholar 

  • Blanco-Mesa F, León-Castro E, Merigó JM (2019a) A bibliometric analysis of aggregation operators. Appl Soft Comput J 81:105488

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  MathSciNet  Google Scholar 

  • Emrouznejad A, Marra M (2016) Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int J Intell Syst 29(11):994–1014

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Grabisch M, Marichal J-L, Mesiar R, Pap E (2009) Aggregation functions. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Karayiannis NB (2000) Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators. IEEE Trans Neural Netw 11(5):1093–1105

    Article  Google Scholar 

  • 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

    Chapter  Google Scholar 

  • Merigó JM (2010) Fuzzy decision making with immediate probabilities. Comput Ind Eng 58(4):651–657

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Merigó JM, Lafuente AG (2010) New decision-making techniques and their application in the selection of financial products. Inf Sci 180(11):2085–2094

    Article  MathSciNet  Google Scholar 

  • Merigó JM, Lafuente AG (2008) The generalized adequacy coefficient and its application in strategic decision making. Fuzzy Econ Rev 13(2):17

    Article  Google Scholar 

  • Merigó JM, Zhou LG, Yu D, Alrajeh N, Alnowibet K (2018) Probabilistic OWA distances applied to asset management. Soft Comput 22(15):4855–4878

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • Tang X, Wei G (2019) Multiple attribute decision-making with dual hesitant pythagorean fuzzy information. Cogn Comput 11(2):193–211

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Torra V, Narukawa Y (2007) Modeling decisions: information fusion and aggregation operators. Springer, Berlin

    Book  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Xu Z (2009) Fuzzy harmonic mean operators. Int J Intell Syst 24(2):152–172

    Article  Google Scholar 

  • Xu Z (2010) Choquet integrals of weighted intuitionistic fuzzy information. Inf Sci 180(5):726–736

    Article  MathSciNet  Google Scholar 

  • Xu Z, Da Q-L (2002) The uncertain OWA operator. Int J Intell Syst 17(6):569–575

    Article  Google Scholar 

  • Xu Z, Da Q-L (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969

    Article  Google Scholar 

  • Yager R (1988a) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18:183–190

    Article  Google Scholar 

  • Yager R (1988b) Families of OWA operators. Fuzzy Sets Syst 59(125448):49–73

    MathSciNet  Google Scholar 

  • Yager RR (2004) Generalized OWA aggregation operators. Fuzzy Optim Decis Mak 3(1):93–107

    Article  MathSciNet  Google Scholar 

  • 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

    Article  Google Scholar 

  • Yager RR (2009b) Prioritized OWA aggregation. Fuzzy Optim Decis Mak 8(3):245–262

    Article  MathSciNet  Google Scholar 

  • Yager RR (2009c) On the dispersion measure of OWA operators. Inf Sci 179(22):3908–3919

    Article  MathSciNet  Google Scholar 

  • 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

    Google Scholar 

Download references

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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Correspondence to Jose M. Merigo.

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Communicated by V. Loia.

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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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