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American Journal of Applied Mathematics and Statistics. 2014, 2(1), 1-6
DOI: 10.12691/AJAMS-2-1-1
Original Research

Measuring the Uncertainty of Human Reasoning

Michael Gr. Voskoglou1,

1School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Patras, Greece

Pub. Date: December 27, 2013

Cite this paper

Michael Gr. Voskoglou. Measuring the Uncertainty of Human Reasoning. American Journal of Applied Mathematics and Statistics. 2014; 2(1):1-6. doi: 10.12691/AJAMS-2-1-1

Abstract

Human reasoning is characterized by a degree of fuzziness and uncertainty. In the present paper we develop a fuzzy model for a better description of the reasoning process and we use the fuzzy systems’ total possibilistic uncertainty as well as the classical ’s entropy (properly modified for use in fuzzy environments) in measuring the individuals’ reasoning skills. Classroom experiments are also provided illustrating our results in practice.

Keywords

reasoning, fuzzy sets, measures of uncertainty

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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