Individual and Global Assessments with Signed Distance Defuzzification, and Characteristics of the Output Distributions based on an Empirical Analysis

Rédina Berkachy, Laurent Donzé

2016

Abstract

Considering a particular kind of questionnaires called linguistic questionnaires, we apply fuzzy logic to provide individual and global weighted evaluations in the case of the signed distance defuzzification method. We test our method on real data coming from a survey of the financial place of Zurich (Switzerland). Furthermore, we have been enable to give a look at the output distributions, and put into evidence their statistical properties. In particular, normality of distributions draws our attention. One of our main findings is that the individual evaluations calculated with the signed distance defuzzification method tend to be normally distributed.

References

  1. BAK (November 2010). Finanzplatz z ürich 2010, monitoring, impact-analyse und ausblick. Technical report, Amt fur Wirtschaft und Arbeit (AWA) des Kantons Z ürich.
  2. Berkachy, R. and Donzé, L. (2015). Linguistic questionnaire evaluation: global and individual assessment with the signed distance defuzzification method. In Advances in Computational Intelligence, Proceedings of the 16th International Conference on Fuzzy Systems FS'15, Rome, Italy, volume 34, pages 13-20.
  3. Berkachy, R. and Donzé, L. (2016a). Linguistic questionnaire evaluation: an application of the signed distance defuzzification method on different fuzzy numbers. the impact on the skewness of the output distributions. International Journal of Fuzzy Systems and Advanced Applications, 3:12 - 19.
  4. Berkachy, R. and Donzé, L. (2016b). Statistical characteristics of distributions obtained using the signed distance defuzzification method compared to other methods.
  5. In Proceedings of the International Conference on Fuzzy Management Methods ICFMSquare, Fribourg, Switzerland, pages 48-58.
  6. Lin, L. and Lee, H. (2009). Fuzzy assessment method on sampling survey analysis. Expert Systems with Applications, 36(3):59555961.
  7. Lin, L. and Lee, H. (2010). Fuzzy assessment for sampling survey defuzzification by signed distance method. Expert Systems with Applications, 37(12):78527857.
  8. Zadeh, L. (1996). Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers of Lotfi A. Zadeh, G. J. Klir and B. Yuan, Eds., Advances in Fuzzy Systems - Applications and Theory, volume 6. World Scientific.
  9. Zimmermann, H. (2010). Fuzzy set theory. Wiley Interdisciplinary Reviews: Computational Statistics, 2(3):317- 332.
  10. Specialised financial Investment services companies companies 18.27666 17.38439 17.83333 16.83333 8.20156 10.11543 2.86384 3.18048 -0.03864 0.13030 0.38951 -0.33553
Download


Paper Citation


in Harvard Style

Berkachy R. and Donzé L. (2016). Individual and Global Assessments with Signed Distance Defuzzification, and Characteristics of the Output Distributions based on an Empirical Analysis . In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016) ISBN 978-989-758-201-1, pages 75-82. DOI: 10.5220/0006036500750082


in Bibtex Style

@conference{fcta16,
author={Rédina Berkachy and Laurent Donzé},
title={Individual and Global Assessments with Signed Distance Defuzzification, and Characteristics of the Output Distributions based on an Empirical Analysis},
booktitle={Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)},
year={2016},
pages={75-82},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006036500750082},
isbn={978-989-758-201-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)
TI - Individual and Global Assessments with Signed Distance Defuzzification, and Characteristics of the Output Distributions based on an Empirical Analysis
SN - 978-989-758-201-1
AU - Berkachy R.
AU - Donzé L.
PY - 2016
SP - 75
EP - 82
DO - 10.5220/0006036500750082