Abstract
There are many papers that experimentally compare effectiveness of different teaching techniques. Most of these papers use traditional statistical approach to process the experimental results. The traditional statistical approach is well suited to numerical data but often, what we are processing is either intervals (e.g., A means anything from 90 to 100) or fuzzy-type perceptions, words from the natural language like “understood well” or “understood reasonably well”.
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References
O.M. Kosheleva, M. Ceberio, Processing educational data: from traditional statistical techniques to an appropriate combination of probabilistic, interval, and fuzzy approaches, in Proceedings of the International Conference on Fuzzy Systems, Neural Networks, and Genetic Algorithms FNG’05, 13–14 Oct 2005 (Tijuana, Mexico, 2005), pp. 39–48
O. Kosheleva, V. Kreinovich, L. Longpre, M. Tchoshanov, G. Xiang, Towards interval techniques for processing educational data, in IEEE Proceedings of the 12th GAMM–IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Duisburg, Germany, 26–29 Sept 2006
D.J. Sheskin, Handbook of Parametric and Nonparametric Statistical Procedures (Chapman & Hall/CRC, Boca Raton, Florida, 2007)
H.M. Wadsworth Jr. (ed.), Handbook of Statistical Methods for Engineers and Scientists (McGraw-Hill Publishing Co., New York, 1990)
L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis, with Examples in Parameter and State Estimation, Robust Control and Robotics (Springer, London, 2001)
R.B. Kearfott, Rigorous Global Search: Continuous Problems (Kluwer, Dordrecht, 1996)
R.B. Kearfott, V. Kreinovich (eds.), Applications of Interval Computations (Kluwer, Dordrecht, 1996)
V. Kreinovich, D. Berleant, M. Koshelev, website on interval computations, http://www.cs.utep.edu/interval-comp
R.E. Moore, Methods and Applications of Interval Analysis (SIAM, Philadelphia, 1979)
S. Ferson, L. Ginzburg, V. Kreinovich, L. Longpré, M. Aviles, Exact bounds on finite populations of interval data. Reliab. Comput. 11(3), 207–233 (2005)
V. Kreinovich, G. Xiang, S.A. Starks, L. Longpré, M. Ceberio, R. Araiza, J. Beck, R. Kandathi, A. Nayak, R. Torres, J. Hajagos, Towards combining probabilistic and interval uncertainty in engineering calculations: algorithms for computing statistics under interval uncertainty, and their computational complexity. Reliab. Comput. 12(6), 471–501 (2006)
G.J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications (Prentice-Hall, Upper Saddle River, New Jersey, 1995)
H.T. Nguyen, E.A. Walker, A First Course in Fuzzy Logic (CRC Press, Boca Raton, Florida, 2006)
G. Bojadziev, M. Bojadziev, Fuzzy Sets, Fuzzy Logic, Applications (World Scientific, Singapore, 1995)
R.E. Moore, W. Lodwick, Interval analysis and fuzzy set theory. Fuzzy Sets Syst. 135(1), 5–9 (2003)
H.T. Nguyen, O. Kosheleva, V. Kreinovich, Is the success of fuzzy logic really paradoxical? or: towards the actual logic behind expert systems. Int. J. Intell. Syst. 11, 295–326 (1996)
D. Dubois, H. Fargier, J. Fortin, The empirical variance of a set of fuzzy intervals, in Proceedings of the 2005 IEEE International Conference on Fuzzy Systems FUZZ–IEEE’2005, Reno, Nevada, 22–25 May 2005, pp. 885–890
S. Dhompongsa, V. Kreinovich, H.T. Nguyen, How to interpret neural networks in terms of fuzzy logic?, in Proceedings of the Second Vietnam–Japan Bilateral Symposium on Fuzzy Systems and Applications VJFUZZY’2001, Hanoi, Vietnam, 7–8 Dec 2001, pp. 184–190
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Kosheleva, O., Villaverde, K. (2018). How to Assess Teaching Teachniques. In: How Interval and Fuzzy Techniques Can Improve Teaching. Studies in Computational Intelligence, vol 750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55993-2_36
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DOI: https://doi.org/10.1007/978-3-662-55993-2_36
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