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Optimal Selection of Proportional Bounding Quantifiers in Linguistic Data Summarization

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Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

Abstract

Proportional bounding quantifiers like “Between p1 and p2 percent” are potentially useful for expressing linguistic summaries of data. Given p1, p2, existing methods for data summarization based on fuzzy quantifiers can be used to assign a quality score to the summary.

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References

  1. J. Barwise and R. Cooper. Generalized quantifiers and natural language. Linguistics and Philosophy, 4:159–219, 1981.

    Article  MATH  Google Scholar 

  2. D. Dubois, H. Prade, and R.R. Yager, editors. Fuzzy Information Engineering. Wiley, New York, 1997.

    Google Scholar 

  3. I. Glöckner. Evaluation of quantified propositions in generalized models of fuzzy quantification. International Journal of Approximate Reasoning, 37(2):93–126, 2004.

    Article  MATH  MathSciNet  Google Scholar 

  4. I. Glöckner. DFS–an axiomatic approach to fuzzy quantification. TR97–06, Technical Faculty, University Bielefeld, 33501 Bielefeld, Germany, 1997.

    Google Scholar 

  5. Ingo Glöckner. Fuzzy Quantifiers: A Computational Theory, volume 193 of Studies in Fuzziness and Soft Computing. Springer, Berlin, 2006.

    Google Scholar 

  6. J. Kacprzyk and P. Strykowski. Linguistic summaries of sales data at a computer retailer: A case study. In Proc. IFSA ’99, pages 29–33, 1999.

    Google Scholar 

  7. D. Rasmussen and R.R. Yager. A fuzzy SQL summary language for data discovery. In Dubois et al. [2], pages 253–264.

    Google Scholar 

  8. R.R. Yager. A new approach to the summarization of data. Information Sciences, 28:69–86, 1982.

    Article  MATH  MathSciNet  Google Scholar 

  9. R.R. Yager. On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. on Systems, Man, and Cybernetics, 18(1):183–190, 1988.

    Article  MATH  MathSciNet  Google Scholar 

  10. R.R. Yager. On linguistic summaries of data. In W. Frawley and G. Piatetsky-Shapiro, editors, Knowledge Discovery in Databases, pages 347–363. AAAI/MIT Press, 1991.

    Google Scholar 

  11. L.A. Zadeh. A computational approach to fuzzy quantifiers in natural languages. Computers and Mathematics with Applications, 9:149–184, 1983.

    Article  MATH  MathSciNet  Google Scholar 

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Glöckner, I. (2006). Optimal Selection of Proportional Bounding Quantifiers in Linguistic Data Summarization. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_22

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  • DOI: https://doi.org/10.1007/3-540-34777-1_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

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