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Fuzzy Extensions of Confidence Intervals: Estimation for µ, σ2, and p

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Fuzzy Statistical Decision-Making

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

Abstract

Even though classical point and interval estimations (PIE) are one of the most studied fields in statistics, there are a few numbers of studies covering fuzzy point and interval estimations. In this pursuit, this study focuses on analyzing the works on fuzzy PIE for the years between 1980 and 2015. In the chapter, the literature is reviewed through Scopus database and the review results are given by graphical illustrations. We also use the extensions of fuzzy sets such as interval-valued intuitionistic fuzzy sets (IVIFS) and hesitant fuzzy sets (HFS) to develop the confidence intervals based on these sets. The chapter also includes numerical examples to increase the understandability of the proposed approaches.

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Correspondence to Cengiz Kahraman .

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Kahraman, C., Otay, I., Öztayşi, B. (2016). Fuzzy Extensions of Confidence Intervals: Estimation for µ, σ2, and p. 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_9

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  • DOI: https://doi.org/10.1007/978-3-319-39014-7_9

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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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