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Similarity Measure of q-Rung Orthopair Fuzzy Soft Sets and Its Application in Covid-19 Problem

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Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact

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Abstract

In this chapter, we introduce q-rung orthopair fuzzy soft sets (q-ROFSSs) and some basic properties. Also we define a similarity measure of q-ROFSSs and their properties are studied. Finally, we provide an application of q-ROFSSs in Covid-19.

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References

  1. Arora, P., Kumar, H., Panigrahi, B.K.: Prediction and analysis of COVID-19 positive cases using deep learning models: A descriptive case study of India. Chaos, Solit. Fractals 139, 110017 (2020)

    Google Scholar 

  2. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)

    Article  Google Scholar 

  3. Bustince, H., Burillo, P.: Vague sets are intuitionistic fuzzy sets. Fuzzy Sets Syst. 79(3), 403–405 (1996)

    Article  MathSciNet  Google Scholar 

  4. Çaman, N., Enginolu, N.S.: Soft Set theory and Uni-int decision making. Euro. J. Oper. Res. 207, 848–855 (2010)

    Google Scholar 

  5. Chen, S.M.: Measures of similarity between vague sets. Fuzzy Sets Syst. 74, 217–223 (1995)

    Article  MathSciNet  Google Scholar 

  6. Chen, S.M., Yeh, M.S., Hsaio, P.Y.: A comparison of similarity measures of fuzzy values. Fuzzy Sets Syst. 72(1), 79–89 (1995)

    Article  MathSciNet  Google Scholar 

  7. Chen, S.M.: Similarity measures between vague sets and between elements. IEEE Trans. Syst. Man. Cybern. (Part B) 27(1), 153–158. (1997)

    Google Scholar 

  8. Garg, H.: A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision making processes. Int. J. Intell. Syst. 31(12), 1234–1252 (2016)

    Article  Google Scholar 

  9. Hong, D.H., Kim, C.A.: Note on similarity measure between vague sets and elements. Inf. Sci. 115, 83–96 (1999)

    Article  MathSciNet  Google Scholar 

  10. Hussain, A., Ali, M.I., Mahmood, T., Munir, M.: q-Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision making. Int. J. Intell. Syst. 35(4), 571–599 (2020)

    Article  Google Scholar 

  11. Jiang, Y., Tang, Y., Chen, Q., Liu, H., Tang, J.: Interval-valued intuitionistic fuzzy soft sets and their properties. Comput. Math. Appl. 60(3), 906–918 (2010)

    Article  MathSciNet  Google Scholar 

  12. Karaaslan1, F.: Similarity measure between possibility neutrosophic soft sets and its applications. U.P.B. Sci. Bull. Series A 78(3) (2016) https://doi.org/10.5281/ZENODO.32275

  13. Kharal, A., Ahmad, B.: Mapping on fuzzy soft classes. Adv. Fuzzy Syst. Article ID 407890, 6 pages, (2009) doi.org/10.1155/2009/407890

    Google Scholar 

  14. Liu, D., Chen, X., Peng, S.D.: Some cosine similarity measures and distance measures between q-rung orthopair fuzzy sets. Int. J. Intell. Syst. 34, 1572–1587 (2019)

    Article  Google Scholar 

  15. Li, F., XU, Z.Y.: Similarity measure between vague sets. Chinese J. Softw. 12(6), 922–927 (2001)

    Google Scholar 

  16. Maji, P.K., Roy, R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1077–1083 (2002)

    Article  MathSciNet  Google Scholar 

  17. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)

    Article  MathSciNet  Google Scholar 

  18. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9(3), 589–602 (2001)

    MathSciNet  MATH  Google Scholar 

  19. Maji, P.K., Biswas, R., Roy, A.R.: Intuitionistic fuzzy soft sets. J. Fuzzy Math. 9(3), 677–692 (2001)

    MathSciNet  MATH  Google Scholar 

  20. Majumdar, P., Samanta, S.K.: Similarity measure of soft sets. New Math. Natural Comput. 4(1), 1–12 (2008)

    Article  MathSciNet  Google Scholar 

  21. Majumdar, P., Samanta, S.K.: Generalised fuzzy soft sets. Comput. Math. Appl. 59(4), 1425–1432 (2010)

    Article  MathSciNet  Google Scholar 

  22. Majumdar, P., Samanta, S.K.: On Similarity measures of fuzzy soft sets. Int. J. Adv. Soft Comput. Appl. 3(2), 1–8 (2011)

    MATH  Google Scholar 

  23. Melin, P., Monica, J.C., Sanchez, D., Castillo, O.: Analysis of spatial spread relationships of Coronavirus (COVID-19) pandemic in the world using self organizing maps. Chaos, Solit. Fractals 138, 109917 (2020)

    Google Scholar 

  24. Molodstov, D.A.: Soft set theory-first result. Comput. Math. Appl. 37, 19–31 (1999)

    MathSciNet  Google Scholar 

  25. Molodtsov, D.A., Leonov, V.Y., Kovkov, D.V.: Soft sets technique and its application. Nechetkie Sistemy i Myagkie Vychisleniya 1(1), 8–39 (2006)

    MATH  Google Scholar 

  26. Neog, T.J., Sut, D.K., Hazarika, G.C.: Fuzzy soft topological spaces. Inter. J. Latest Trends Math. 2(1), 54–67 (2012)

    Google Scholar 

  27. Pappis, C.P., Karacapilidis, N.I.: A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets Syst. 56, 171–174 (1993)

    Article  MathSciNet  Google Scholar 

  28. Peng, X., Yang, Y.: Some results for Pythagorean fuzzy sets. Int J. Intell Syst. 30(11), 1133–1160 (2015)

    Article  MathSciNet  Google Scholar 

  29. Rafiqa, D., Suhaila, S.A., Bazaza, M.A: Evaluation and prediction of COVID-19 in India: a case study of worst hit states. Chaos, Solit. Fractals (2020) https://doi.org/10.1016/j.chaos.2020.110014.

  30. Yager, R.R.: Pythagorean fuzzy subsets. In: Proceedings of the Joint IFSA World Congress and NAFIPS Annual Meeting. Edmonton, Canada, 57–6 (2013)

    Google Scholar 

  31. Yager, R.R.: Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst. 22, 958–965 (2014)

    Article  Google Scholar 

  32. Yager, R.R., Alajlan, N.: Approximate reasoning with generalized orthopair fuzzy sets. Inf Fusion. 38, 65–73 (2017)

    Article  Google Scholar 

  33. Yager, R.R., Alajlan, N., Bazi, Y.: Aspects of generalized orthopair fuzzy sets. Int J Intell Syst. 33(11), 2154–2174 (2018)

    Article  Google Scholar 

  34. Yang, X., Lin, T.Y., Yang, J., Li, Y., Yu, D.: Combination of interval-valued fuzzy set and soft set. Comput Math. Appl. 58(3), 521–527 (2009)

    Article  MathSciNet  Google Scholar 

  35. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  36. Govt. of India updates about Coronavirus link www.covid19india.org

    Google Scholar 

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Correspondence to Bipan Hazarika .

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Borah, M.J., Hazarika, B. (2021). Similarity Measure of q-Rung Orthopair Fuzzy Soft Sets and Its Application in Covid-19 Problem. In: Agarwal, P., Nieto, J.J., Ruzhansky, M., Torres, D.F.M. (eds) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-16-2450-6_19

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