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Fuzzy Central Tendency Measures

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Fuzzy Statistical Decision-Making

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 343))

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Abstract

This chapter converts the classical central tendency measures to their fuzzy cases. Fuzzy mean, fuzzy mode and fuzzy median are explained by numerical examples. Fuzzy frequency distribution is another subtitle of this chapter. Classical graphical illustrations are examined under fuzziness. A numerical example for each central tendency measure is given.

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References

  1. Goodman, I.R.: Applications of random set representations of fuzzy sets to determining measures of central tendency. In: Proceedings of the Joint Conference on Information Sciences, Pinehurst, NC, United States, pp. 196–199 (1994)

    Google Scholar 

  2. Lee, E.S., Li, R.L.: Comparison of fuzzy numbers based on the probability measure of fuzzy events. Comput. Math Appl. 15, 887–896 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  3. Lu, W., Jiao, P.: Fuzzy statistical description and fuzzy nonparametric test for investing decision. In: Proceedings, 6th International Conference on Natural Computation, ICNC 2010, 10–12 August, pp. 308–311

    Google Scholar 

  4. Nguyen, H.T., Wu, B.: Fundamentals of statistics with fuzzy data, Studies in Fuzziness and Soft Computing, vol. 198. Springer, Berlin Heidelberg (2006)

    Book  Google Scholar 

  5. Parvathi, R., Atanassova, V.: Intuitionistic fuzzy statistical tools for filters in image processing. In: 6th IEEE International Conference Intelligent Systems, IS 2012; Sofia; Bulgaria; 6–8 Sept, pp. 150–152 (2012)

    Google Scholar 

  6. Sinova, B., Gil, M.Á., Colubi, A., Van Aelst, S.: The median of a random fuzzy number. the 1-norm distance approach. Fuzzy Sets Syst. 200, 99–115 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  7. Sinova, B., Casals, M.R., Gil, M.Á.: Central tendency for symmetric random fuzzy numbers. Inf. Sci. 278, 599–613 (2014)

    Article  MathSciNet  Google Scholar 

  8. Sun, C.-M., Wu, B.: New statistical approaches for fuzzy data. Int. J. Uncertainty Fuzz. Knowl. Based Syst. 15(2), 89–106 (2007)

    Article  MathSciNet  Google Scholar 

  9. Viertl, R.: Statistical Methods for Fuzzy Data. Wiley (2011)

    Google Scholar 

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Correspondence to Cengiz Kahraman .

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Kahraman, C., Sarı, İ.U. (2016). Fuzzy Central Tendency Measures. In: Kahraman, C., Kabak, Ö. (eds) Fuzzy Statistical Decision-Making. Studies in Fuzziness and Soft Computing, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-39014-7_5

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  • DOI: https://doi.org/10.1007/978-3-319-39014-7_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39012-3

  • Online ISBN: 978-3-319-39014-7

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