Skip to main content
Top
Published in: Granular Computing 3/2023

13-08-2022 | Original Paper

Preferred hospitalization of COVID-19 patients using intuitionistic fuzzy set-based matching approach

Authors: Amalendu Si, Sujit Das, Samarjit Kar

Published in: Granular Computing | Issue 3/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Preferable hospitalization of COVID-19 patients has become an urgent and challenging task to save lives amidst the unexpected rising of the 3rd wave, where fuzzy set and matching techniques are considered due to their inherent capability to deal with uncertain suitable pair selection. The matching technique has been widely used to solve decision-making problems due to its capability to determine the suitable pair between the objects of two disjoint sets, whereas fuzzy set is well known to manage uncertain situations. This paper extends the matching technique using fuzzy set and proposes a novel fuzzy matching approach to solve uncertain decision-making problems. We also extend the fuzzy matching approach in the framework of an intuitionistic fuzzy set. A relation between the matching technique and fuzzy set theory is established by developing the preference sequence of the elements. The fuzzy entropy is used to measure the closeness among the elements between two distinct sets. Applicability of the proposed approach is measured by providing an illustrative case study concerned with the preferred hospitalization of the COVID-19 patients. Finally, a comparative study is given to analyze the effectiveness of the proposed approach, where the intuitionistic fuzzy set-based matching approach shows better performance compared to fuzzy and conventional matching based approach. For experimentation purpose, this study uses 9424 patients and 234 hospitals with a total available capacity of 18,024 beds.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Amanathulla S, Bera B, Pal M (2021) Balanced picture fuzzy graph with application. Artif Intell Rev 54(7):5255–5281CrossRef Amanathulla S, Bera B, Pal M (2021) Balanced picture fuzzy graph with application. Artif Intell Rev 54(7):5255–5281CrossRef
go back to reference Axtell RL, Kimbrough SO (2008) The high cost of stability in two-sided matching: How much social welfare should be sacrificed in the pursuit of stability. In: Proceedings of the 2008 world congress on social simulation (WCSS-08) Axtell RL, Kimbrough SO (2008) The high cost of stability in two-sided matching: How much social welfare should be sacrificed in the pursuit of stability. In: Proceedings of the 2008 world congress on social simulation (WCSS-08)
go back to reference Cabalar AF, Cevik A, Gokceoglu C (2012) Some applications of adaptive neuro-fuzzy inference system (ANFIS) in geotechnical engineering. Comput Geotech 40:14–33CrossRef Cabalar AF, Cevik A, Gokceoglu C (2012) Some applications of adaptive neuro-fuzzy inference system (ANFIS) in geotechnical engineering. Comput Geotech 40:14–33CrossRef
go back to reference Cagman N, Enginoglu S, Citak F (2011) Fuzzy soft set theory and its applications. Iran J Fuzzy Syst 8(3):137–147MathSciNetMATH Cagman N, Enginoglu S, Citak F (2011) Fuzzy soft set theory and its applications. Iran J Fuzzy Syst 8(3):137–147MathSciNetMATH
go back to reference Chellamani P, Ajay D, Broumi S, Ligori T (2021) An approach to decision-making via picture fuzzy soft graphs. Granul Comput 7:527–548CrossRef Chellamani P, Ajay D, Broumi S, Ligori T (2021) An approach to decision-making via picture fuzzy soft graphs. Granul Comput 7:527–548CrossRef
go back to reference Das S, Malakar D, Kar S, Pal T (2018) A brief review and future outline on decision making using fuzzy soft set. Int J Fuzzy Syst Appl (IJFSA) 7(2):1–43 Das S, Malakar D, Kar S, Pal T (2018) A brief review and future outline on decision making using fuzzy soft set. Int J Fuzzy Syst Appl (IJFSA) 7(2):1–43
go back to reference Das S, Kar MB, Kar S (2013) Group multi-criteria decision making using intuitionistic multi-fuzzy sets. J Uncertain Anal Appl 1(1):1–16CrossRef Das S, Kar MB, Kar S (2013) Group multi-criteria decision making using intuitionistic multi-fuzzy sets. J Uncertain Anal Appl 1(1):1–16CrossRef
go back to reference De A, Kundu P, Das S, Kar S (2020) A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making. Soft Comput 24(1):131–154CrossRefMATH De A, Kundu P, Das S, Kar S (2020) A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making. Soft Comput 24(1):131–154CrossRefMATH
go back to reference De A, Das S, Kar S (2019) Multiple attribute decision making based on probabilistic interval-valued intuitionistic hesitant fuzzy set and extended TOPSIS method. J Intell Fuzzy Syst 37(4):5229–5248CrossRef De A, Das S, Kar S (2019) Multiple attribute decision making based on probabilistic interval-valued intuitionistic hesitant fuzzy set and extended TOPSIS method. J Intell Fuzzy Syst 37(4):5229–5248CrossRef
go back to reference Gorzałczany MB (1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst 21(1):1–17MathSciNetCrossRefMATH Gorzałczany MB (1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst 21(1):1–17MathSciNetCrossRefMATH
go back to reference Gupta R, Kumar S (2021) A new similarity measure between picture fuzzy sets with applications to pattern recognition and clustering problems. Granul Comput 7:561–576CrossRef Gupta R, Kumar S (2021) A new similarity measure between picture fuzzy sets with applications to pattern recognition and clustering problems. Granul Comput 7:561–576CrossRef
go back to reference Gusfield D, Irving RW (1989) The stable marriage problem: structure and algorithms. Cambridge MIT press, CambridgeMATH Gusfield D, Irving RW (1989) The stable marriage problem: structure and algorithms. Cambridge MIT press, CambridgeMATH
go back to reference Hung WL, Yang MS (2004) Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recogn Lett 25(14):1603–1611CrossRef Hung WL, Yang MS (2004) Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recogn Lett 25(14):1603–1611CrossRef
go back to reference Irving RW, Manlove DF (2008) Approximation algorithms for hard variants of the stable marriage and hospitals/residents problems. J Comb Optim 16(3):279–292MathSciNetCrossRefMATH Irving RW, Manlove DF (2008) Approximation algorithms for hard variants of the stable marriage and hospitals/residents problems. J Comb Optim 16(3):279–292MathSciNetCrossRefMATH
go back to reference Kadian R, Kumar S (2021) New fuzzy mean codeword length and similarity measure. Granul Comput 7:61–478 Kadian R, Kumar S (2021) New fuzzy mean codeword length and similarity measure. Granul Comput 7:61–478
go back to reference Kapoor G, Hauck S, Sriram A, Joshi J, Schueller E, Frost I, Balasubramanian R, Laxminarayan R, Nandi A (2020) State-wise estimates of current hospital beds, intensive care unit (ICU) beds and ventilators in India: Are we prepared for a surge in COVID-19 hospitalizations? https://doi.org/10.1101/2020.06.16.20132787 Kapoor G, Hauck S, Sriram A, Joshi J, Schueller E, Frost I, Balasubramanian R, Laxminarayan R, Nandi A (2020) State-wise estimates of current hospital beds, intensive care unit (ICU) beds and ventilators in India: Are we prepared for a surge in COVID-19 hospitalizations? https://​doi.​org/​10.​1101/​2020.​06.​16.​20132787
go back to reference Kaufmann A, Magens N (1975) Introduction to the theory of fuzzy subsets: fundamental theoretical elements. Academic press, Cambridge Kaufmann A, Magens N (1975) Introduction to the theory of fuzzy subsets: fundamental theoretical elements. Academic press, Cambridge
go back to reference Knuth DE (1997) Stable marriage and its relation to other combinatorial problems: an introduction to the mathematical analysis of algorithms. Am Math Soc Knuth DE (1997) Stable marriage and its relation to other combinatorial problems: an introduction to the mathematical analysis of algorithms. Am Math Soc
go back to reference Kumar A, Kaur A (2012) Optimization for different types of transportation problems with fuzzy coefficients in the objective function. J Intell Fuzzy Syst 23(5):237–248MathSciNetCrossRefMATH Kumar A, Kaur A (2012) Optimization for different types of transportation problems with fuzzy coefficients in the objective function. J Intell Fuzzy Syst 23(5):237–248MathSciNetCrossRefMATH
go back to reference Li X, Liu B (2006) Cross-entropy and generalized entropy for fuzzy variables. Techn Rep Li X, Liu B (2006) Cross-entropy and generalized entropy for fuzzy variables. Techn Rep
go back to reference Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179(1):220–233CrossRefMATH Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179(1):220–233CrossRefMATH
go back to reference Loo SG (1977) Measure of fuzziness. Cursos Congr Univ Santiago De Compostela 20:201–210MATH Loo SG (1977) Measure of fuzziness. Cursos Congr Univ Santiago De Compostela 20:201–210MATH
go back to reference De Luca A, Termini S (1972) A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control 20(4):301–312MathSciNetCrossRefMATH De Luca A, Termini S (1972) A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control 20(4):301–312MathSciNetCrossRefMATH
go back to reference Mishra SV, Gayen A, Haque SM (2020) COVID-19 and urban vulnerability in India. Habitat Int 103:102230CrossRef Mishra SV, Gayen A, Haque SM (2020) COVID-19 and urban vulnerability in India. Habitat Int 103:102230CrossRef
go back to reference Patra K (2022) Fuzzy risk analysis using a new technique of ranking of generalized trapezoidal fuzzy numbers. Granul Comput 7(1):127–140CrossRef Patra K (2022) Fuzzy risk analysis using a new technique of ranking of generalized trapezoidal fuzzy numbers. Granul Comput 7(1):127–140CrossRef
go back to reference Poulik S, Ghorai G (2021) New concepts of inverse fuzzy mixed graphs and its application. Granul Comput 7:549–559CrossRefMATH Poulik S, Ghorai G (2021) New concepts of inverse fuzzy mixed graphs and its application. Granul Comput 7:549–559CrossRefMATH
go back to reference Ren Z, Liao H, Liu Y (2020) Generalized Z-numbers with hesitant fuzzy linguistic information and its application to medicine selection for the patients with mild symptoms of the COVID-19. Comput Ind Eng 145:106517CrossRef Ren Z, Liao H, Liu Y (2020) Generalized Z-numbers with hesitant fuzzy linguistic information and its application to medicine selection for the patients with mild symptoms of the COVID-19. Comput Ind Eng 145:106517CrossRef
go back to reference Si A, Das S, Kar S (2019) An approach to rank picture fuzzy numbers for decision making problems. Decis Mak Appl Manag Eng 2(2):54–64CrossRef Si A, Das S, Kar S (2019) An approach to rank picture fuzzy numbers for decision making problems. Decis Mak Appl Manag Eng 2(2):54–64CrossRef
go back to reference Sotomayor MAO (1990) Two-sided matching: study in game-theoretic modeling and analysis. Cambridge University Press, CambridgeMATH Sotomayor MAO (1990) Two-sided matching: study in game-theoretic modeling and analysis. Cambridge University Press, CambridgeMATH
go back to reference Sun B, Tong S, Ma W, Wang T, Jiang C (2021) An approach to MCGDM based on multi-granulation Pythagorean fuzzy rough set over two universes and its application to medical decision problem. Artif Intell Rev 55:1887–1913CrossRef Sun B, Tong S, Ma W, Wang T, Jiang C (2021) An approach to MCGDM based on multi-granulation Pythagorean fuzzy rough set over two universes and its application to medical decision problem. Artif Intell Rev 55:1887–1913CrossRef
go back to reference Vajda S (1950) The mathematical theory of communication. Math Gaz 34(310):312–313CrossRef Vajda S (1950) The mathematical theory of communication. Math Gaz 34(310):312–313CrossRef
go back to reference Xu Z, Yager RR (2008) Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approx Reason 48(1):246–262CrossRefMATH Xu Z, Yager RR (2008) Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approx Reason 48(1):246–262CrossRefMATH
go back to reference Xuecheng L (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52(3):305–318MathSciNetCrossRefMATH Xuecheng L (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52(3):305–318MathSciNetCrossRefMATH
go back to reference Zadeh LA (1965a) Information and control. Fuzzy Sets 8(3):338–353 Zadeh LA (1965a) Information and control. Fuzzy Sets 8(3):338–353
go back to reference Zadeh LA (1965b) Fuzzy sets and systems. Proceedings of the Symposium on Systems Theory Polytechni(NY) 5:29–37 Zadeh LA (1965b) Fuzzy sets and systems. Proceedings of the Symposium on Systems Theory Polytechni(NY) 5:29–37
go back to reference Zimmermann H (2010) Fuzzy set theory. Wiley interdisciplinary reviews: computational statistics, 2(3):317–332 Zimmermann H (2010) Fuzzy set theory. Wiley interdisciplinary reviews: computational statistics, 2(3):317–332
Metadata
Title
Preferred hospitalization of COVID-19 patients using intuitionistic fuzzy set-based matching approach
Authors
Amalendu Si
Sujit Das
Samarjit Kar
Publication date
13-08-2022
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 3/2023
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-022-00339-w

Other articles of this Issue 3/2023

Granular Computing 3/2023 Go to the issue

Premium Partner