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Multicriteria Scoring Methods Using Pythagorean Fuzzy Sets

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

Abstract

Scoring methods are one of the most used multicriteria decision making methods (MCDM) in the literature. Their simplicity and efficiency cause their frequently usage for the solution of multicriteria decision making problems. In this paper, we develop Pythagorean fuzzy scoring methods to be used under fuzziness. Pythagorean fuzzy sets have better powerful ability than intuitionistic fuzzy sets to model the uncertainty in MCDM problems. We present the numerical applications of the proposed methods.

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References

  • Dick, S., Yager, R.R., Yazdanbakhsh, O.: On Pythagorean and Complex Fuzzy Set Operations. IEEE Trans. Fuzzy Syst. 24(5), 1009–1021 (2016)

    Article  Google Scholar 

  • Garg, H.: A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. J. Intell. Fuzzy Syst. 31(1), 529–540 (2016)

    Article  MATH  Google Scholar 

  • Kahraman, C., Birgün, S., Yenen, V.Z.: Fuzzy Multi-attribute scoring methods with applications. In: Kahraman, C. (ed.) Fuzzy Multi-Criteria Decision Making: Theory and Applications with Recent Developments, pp. 187–208. Springer (2008)

    Google Scholar 

  • Liu, W., Chang, J., He, X.: Generalized Pythagorean fuzzy aggregation operators and applications in decision making. Control Decis. 31(12), 2280–2286 (2016)

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  • Ren, P., Xu, Z., Gou, X.: Pythagorean fuzzy TODIM approach to multi-criteria decision making. Appl. Soft Comput. 42, 246–259 (2016)

    Article  Google Scholar 

  • Yager, R.R.: Pythagorean fuzzy subsets. In: Proceedings of Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp. 57–61 (2013)

    Google Scholar 

  • Yager, R.R.: Properties and applications of pythagorean fuzzy sets. In: Angelov, P., Sotirov, S. (eds.) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol. 332, pp. 119–136. Springer (2016)

    Google Scholar 

  • Zeng, S., Chen, J., Li, X.: A hybrid method for pythagorean fuzzy multiple-criteria decision making. Int. J. Inform. Technol. Decis. Making 15, 403 (2016)

    Article  Google Scholar 

  • Zhang, X.: Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Inf. Sci. 330, 104–124 (2016)

    Article  Google Scholar 

  • Zhang, X., Xu, Z.: Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int. J. Intell. Syst. 29, 1061–1078 (2014)

    Article  MathSciNet  Google Scholar 

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Correspondence to Cengiz Kahraman .

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Kahraman, C., Oztaysi, B., Onar, S.C. (2018). Multicriteria Scoring Methods Using Pythagorean Fuzzy Sets. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_29

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

  • eBook Packages: EngineeringEngineering (R0)

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