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Fuzzy Statistical Decision-Making Read chapter Read first chapter

2016 | OriginalPaper | Chapter

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

Authors : Cengiz Kahraman, Irem Otay, Başar Öztayşi

Published in: Fuzzy Statistical Decision-Making

Publisher: Springer International Publishing

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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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previous chapter Fuzzy Confidence Regions
next chapter Testing Fuzzy Hypotheses: A New p-value-based Approach
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Metadata
Title
Fuzzy Extensions of Confidence Intervals: Estimation for µ, σ2, and p
Authors
Cengiz Kahraman
Irem Otay
Başar Öztayşi
Copyright Year
2016
Book
Fuzzy Statistical Decision-Making

Print ISBN: 978-3-319-39012-3

Electronic ISBN: 978-3-319-39014-7

Copyright Year: 2016

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

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