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q-Rung Orthopair Fuzzy Supra Topological Applications in Data Mining Process

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q-Rung Orthopair Fuzzy Sets
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Abstract

The idea of q-rung orthopair fuzzy sets is an extension of intuitionistic and Pythagorean fuzzy sets. The main goal of this manuscript is to present the notion of q-rung orthopair fuzzy supra topological spaces (q-rofsts), a hybrid form of intuitionistic fuzzy supra topological spaces and Pythagorean fuzzy supra topological spaces. In addition, several contradictory examples and their assertions in fuzzy supra topological spaces of Abd El-Monsef and Ramadan (Indian J Pure Appl Math 18(4):322–329, 1987, [9]) are produced using q-rung orthopair fuzzy mappings. Finally, a new multiple attribute decision-making technique based on the q-rung orthopair fuzzy scoring function is suggested as an application to tackle medical diagnosis issues.

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References

  1. L.A. Zadeh, Probability measures of fuzzy events. J. Math. Anal. Appl. 23(2), 421–427 (1968)

    Article  MathSciNet  Google Scholar 

  2. K.P. Adlassnig, Fuzzy set theory in medical diagnosis. IEEE Trans. Syst. Man Cybern. 16(2), 260–265 (1986)

    Article  Google Scholar 

  3. M. Sugeno, An Introductory survey of fuzzy control. Inf. Sci. 36, 59–83 (1985)

    Article  MathSciNet  Google Scholar 

  4. P.R. Innocent, R.I. John, Computer aided fuzzy medical diagnosis. Inf. Sci. 162, 81–104 (2004)

    Article  Google Scholar 

  5. T.J. Roos, Fuzzy Logic with Engineering Applications (McGraw Hill P. C, New York, 1994)

    Google Scholar 

  6. C.L. Chang, Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968)

    Article  MathSciNet  Google Scholar 

  7. R. Lowen, Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621–633 (1976)

    Article  MathSciNet  Google Scholar 

  8. A.S. Mashhour, A.A. Allam, F.S. Mohmoud, F.H. Khedr, On supra topological spaces. Indian J. Pure and Appl. Math. 14(4), 502–510 (1983)

    MathSciNet  Google Scholar 

  9. M.E. Abd El-Monsef, A.E. Ramadan, On fuzzy supra topological spaces. Indian J. Pure Appl. Math. 18(4), 322–329 (1987)

    Google Scholar 

  10. K. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  Google Scholar 

  11. R.R. Yager, Pythagorean fuzzy subsets, in Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), Edmonton, Canada, June 24–28, 2013 (IEEE, 2013), pp. 57–61

    Google Scholar 

  12. D. Coker, An introduction to intuitionistic Fuzzy topological spaces. Fuzzy Sets Syst. 88(1), 81–89 (1997)

    Article  MathSciNet  Google Scholar 

  13. R. Saadati, J.H. Park, On the intuitionistic fuzzy topological space. Chaos, Solitons Fractals 27(2), 331–344 (2006)

    Article  MathSciNet  Google Scholar 

  14. S.K. De, A. Biswas, R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117(2), 209–213 (2001)

    Article  Google Scholar 

  15. E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy sets in some medical applications, in International Conference on Computational Intelligence (Springer, Berlin, Heidelberg, 2001), pp. 148–151

    Google Scholar 

  16. P. Biswas, S. Pramanik, B.C. Giri, A study on information technology professionals’ health problem based on intuitionistic fuzzy cosine similarity measure. Swiss J. Stat. Appl. Math. 2(1), 44–50 (2014)

    Google Scholar 

  17. V. Khatibi, G.A. Montazer, Intuitionistic fuzzy set vs. fuzzy set application in medical pattern recognition. Artif. Intell. Med. 47(1), 43–52 (2009)

    Google Scholar 

  18. K.C. Hung, H.W. Tuan, Medical diagnosis based on intuitionistic fuzzy sets revisited. J. Interdiscip. Math. 16(6), 385–395 (2013)

    Article  Google Scholar 

  19. M. Olgun, M. Unver, S. Yardimci, Pythagorean fuzzy topological spaces. Complex Intell. Syst. 5, 177–183 (2019)

    Article  Google Scholar 

  20. R.R. Yager, Generalized orthopair fuzzy sets. IEEE Trans. Fuzzy Syst. 25, 1222–1230 (2017)

    Article  Google Scholar 

  21. H. Garg, A novel trigonometric operation-based q-rung orthopair fuzzy aggregation operator and its fundamental properties. Neural Comput. Appl. 32(18), 15077–15099 (2020)

    Article  Google Scholar 

  22. R. Wang, Y. Li, A novel approach for green supplier selection under a q-rung orthopair fuzzy environment. Symmetry 10(12), 687–712 (2018)

    Article  Google Scholar 

  23. G. Wei, H. Gao, Y. Wei, Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making. Int. J. Intell. Syst. 33, 1426–1458 (2018)

    Article  Google Scholar 

  24. H. Garg, CN-q-ROFS: Connection number-based q-rung orthopair fuzzy set and their application to decision-making process. Int. J. Intell. Syst. 36(7), 3106–3143 (2021)

    Article  Google Scholar 

  25. H. Wang, Y. Ju, P. Liu, Multi-attribute group decision making methods based on q-rung orthopair fuzzy linguistic sets. Int. J. Intell. Syst. 34(6), 1129–1157 (2019)

    Article  Google Scholar 

  26. E. Turkarslan, M. Unver, M. Olgun, q-Rung Orthopair Fuzzy Topological Spaces. Lobachevskii J. Math. 42, 470–478 (2021)

    Article  MathSciNet  Google Scholar 

  27. S.E. Abbas, Intuitionistic supra fuzzy topological spaces. Chaos, Solitons Fractals 21, 1205–1214 (2004)

    Article  MathSciNet  Google Scholar 

  28. H. Garg, A new possibility degree measure for interval-valued q-rung orthopair fuzzy sets in decision-making. Int. J. Intell. Syst. 36(1), 526–557 (2021)

    Article  Google Scholar 

  29. H. Garg, New exponential operation laws and operators for interval-valued q-rung orthopair fuzzy sets in group decision making process. Neural Comput. Appl. 33(20), 13927–13963 (2021)

    Article  Google Scholar 

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Correspondence to Mani Parimala .

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Parimala, M., Ozel, C., Shumrani, M.A.A., Kaymakci, A.K. (2022). q-Rung Orthopair Fuzzy Supra Topological Applications in Data Mining Process. In: Garg, H. (eds) q-Rung Orthopair Fuzzy Sets. Springer, Singapore. https://doi.org/10.1007/978-981-19-1449-2_1

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