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Econometrics of Risk pp 273–285Cite as

Correlation Evaluation with Fuzzy Data and its Application in the Management Science

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 583))

Abstract

How to evaluate an appropriate correlation with fuzzy data is an important topic in the educational and psychological measurement. Especially when the data illustrate uncertain, inconsistent and incomplete type, fuzzy statistical method has some promising features that help resolving the unclear thinking in human logic and recognition. Traditionally, we use Pearson’s Correlation Coefficient to measure the correlation between data with real value. However, when the data are composed of fuzzy numbers, it is not feasible to use such a traditional approach to determine the fuzzy correlation coefficient. This study proposes the calculation of fuzzy correlation with three types of fuzzy data: interval, triangular and trapezoidal. Empirical studies are used to illustrate the application for evaluating fuzzy correlations. More related practical phenomena can be explained by this appropriate definition of fuzzy correlation.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, National Cheng Chi University, Taipei, Taiwan

    Berlin Wu

  2. Graduate Institute of Business Administration, Fu Jen Catholic University, New Taipei, Taiwan

    Wei-Shun Sha

  3. Department of Statistics and Information Science, Fu Jen Catholic University, New Taipei, Taiwan

    Juei-Chao Chen

Authors
  1. Berlin Wu
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  2. Wei-Shun Sha
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  3. Juei-Chao Chen
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Corresponding author

Correspondence to Berlin Wu .

Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Nomi, Japan

    Van-Nam Huynh

  2. Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA

    Vladik Kreinovich

  3. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

  4. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Komsan Suriya

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© 2015 Springer International Publishing Switzerland

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Wu, B., Sha, WS., Chen, JC. (2015). Correlation Evaluation with Fuzzy Data and its Application in the Management Science. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds) Econometrics of Risk. Studies in Computational Intelligence, vol 583. Springer, Cham. https://doi.org/10.1007/978-3-319-13449-9_19

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  • DOI: https://doi.org/10.1007/978-3-319-13449-9_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13448-2

  • Online ISBN: 978-3-319-13449-9

  • eBook Packages: EngineeringEngineering (R0)

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