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Fuzzy models in regional statistics

Author

Listed:
  • Sunanta, Owat
  • Viertl, Reinhard

Abstract

Many regional data are not provided as precise numbers, but they are frequently non-precise (fuzzy). In order to provide realistic statistical information, the imprecision must be described quantitatively. This is possible using special fuzzy subsets of the set of real numbers ℝ, called fuzzy numbers, together with their characterising functions. In this study, the uncertainty of measured data is highlighted through an example of environmental data from a regional study. The generalised statistical methods, through the characterising function and the δ-cut, that are suitable for the situations of fuzzy uni- and multivariate data are described. In addition, useful generalised descriptive statistics and predictive models frequently applicable for analysis of fuzzy data in regional studies as well as the concept of fuzzy data in databases are presented.

Suggested Citation

  • Sunanta, Owat & Viertl, Reinhard, 2016. "Fuzzy models in regional statistics," MPRA Paper 74501, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:74501
    as

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    File URL: https://mpra.ub.uni-muenchen.de/74501/1/MPRA_paper_74501.pdf
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    References listed on IDEAS

    as
    1. Corina Maria ENE & Natalita HURDUC, 2010. "A Fuzzy Model To Estimate Romanian Underground Economy," Internal Auditing and Risk Management, Athenaeum University of Bucharest, vol. 2(18), pages 29-38, June.
    2. Reinhard Viertl & Owat Sunanta, 2013. "Fuzzy Bayesian inference," METRON, Springer;Sapienza Università di Roma, vol. 71(3), pages 207-216, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    fuzzy data in regional studies; characterising function; statistics with fuzzy data; fuzzy data in databases;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • P25 - Political Economy and Comparative Economic Systems - - Socialist and Transition Economies - - - Urban, Rural, and Regional Economics
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

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