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Mean Estimation Based on FWA Using Ranked Set Sampling with Single and Multiple Rankers

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 611))

Abstract

The Ranked Set Sampling (RSS) is an advanced sampling method which improves the precision and accuracy of the mean estimator. In RSS, the units in the random sets which are drawn from a population are ranked by a ranking mechanism, and one of these ranked units is sampled from each set with a specific scheme. Ranking the units (visually or by a concomitant variable) could not be perfect because there is an uncertainty in decision making about the rank of a unit. In this study, we propose a fuzzy set perspective for RSS and an estimator for the population mean based on Fuzzy Weighted Average (FWA) operator. A real data application is given to illustrate the new approach for the single and multiple rankers.

B. Cetintav—This study is supported by the Scientific and Technological Research Council of Turkey (TUBITAK-COST Grant No. 115F300) under ISCH COST Action IS1304.

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Acknowledgments

This study is supported by the Scientific and Technological Research Council of Turkey (TUBITAK-COST Grant No. 115F300) under ISCH COST Action IS1304.

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Authors and Affiliations

  1. Department of Statistics, Dokuz Eylul University, 35170, Izmir, Turkey

    Bekir Cetintav, Gozde Ulutagay, Selma Gurler & Neslihan Demirel

  2. Department of Industrial Engineering, Izmir Univerity, 35170, Izmir, Turkey

    Bekir Cetintav, Gozde Ulutagay, Selma Gurler & Neslihan Demirel

Authors
  1. Bekir Cetintav
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  2. Gozde Ulutagay
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  3. Selma Gurler
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  4. Neslihan Demirel
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Corresponding author

Correspondence to Selma Gurler .

Editor information

Editors and Affiliations

  1. INESC-ID,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Joao Paulo Carvalho

  2. LIP 6, Université Pierre et Marie Curie, Paris, France

    Marie-Jeanne Lesot

  3. School of Industrial Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Uzay Kaymak

  4. IDMEC,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Susana Vieira

  5. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  6. Iona College, Machine Intelligence Institute, New Rochelle, New York, USA

    Ronald R. Yager

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Cetintav, B., Ulutagay, G., Gurler, S., Demirel, N. (2016). Mean Estimation Based on FWA Using Ranked Set Sampling with Single and Multiple Rankers. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 611. Springer, Cham. https://doi.org/10.1007/978-3-319-40581-0_64

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  • DOI: https://doi.org/10.1007/978-3-319-40581-0_64

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40580-3

  • Online ISBN: 978-3-319-40581-0

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