oalogo2  

AUTHOR(S): 

Michael Gr. Voskoglou

 

TITLE

Variations of the Rectangular Fuzzy Assessment Model and Applications to Human Activities

pdf PDF htmlFULL-TEXT HTML

ABSTRACT

The Rectangular Fuzzy Assessment Model (RFAM) is based on the popular in fuzzy mathematics COG defuzzification technique. In the paper at hands the RFAM and its variations GRFAF, TFAM and TpFAM, developed for treating better the ambiguous assessment situations being at the boundaries between two successive assessment grades, are presented and their outcomes are compared to each other through the corresponding outcomes of a traditional assessment method of the bi-valued logic, the Grade Point Average (GPA) index. Examples are also presented illustrating our results.

KEYWORDS

Grade Point Average (GPA) index, Centre of Gravity (COG) defuzzification technique, Rectangular Fuzzy Assessment Model (RFAM), Generalized RFAM (GRFAM), Triangular FAM (TFAM), Trapezoidal FAM (TpFAM)

REFERENCES

[1] Voskoglou, M. Gr., An Application of Fuzzy Sets to the Process of Learning, Heuristics and Didactics of Exact Sciences, 10, 1999, pp. 9-13.

[2] Voskoglou, M. Gr., Transition across levels in the process of learning: A fuzzy Model, International Journal of Modelling and Application, Univ. Blumenau, 1, 2009, pp. 37- 44.

[3] Subbotin, I. Ya., Badkoobehi, H., Bilotckii, N. N., Application of fuzzy logic to learning assessment, Didactics of Mathematics: Problems and Investigations, 22, 2004, pp. 38- 41.

[4] Subbotin, I. Ya., Bilotskii, N. N., Triangular fuzzy logic model for learning assessment, Didactics of Mathematics: Problems and Investigations, 41, 2014, pp. 84- 88.

[5] Subbotin, I. Ya, Voskoglou, M. Gr., A Triangular Fuzzy Model for Assessing Critical Thinking Skills, International Journal of Applications of Fuzzy Sets and Artificial Intelligence, 4, 2014, pp. 173-186.

[6] Subbotin, I. Ya., Trapezoidal Fuzzy Logic Model for Learning Assessment, 2014, arXiv 1407.0823[math..GM]

[7] Subbotin, I. Ya, Voskoglou, M. Gr., Fuzzy Assessment Methods, Universal Journal of Applied Mathematics, 2(9), 2014, pp. 305-311.

[8] Subbotin, I. Ya., On Generalized Rectangular Fuzzy Model for Assessment, Global Journal of Mathematics, 2(1), 2015, pp. 65- 70.

[9] Subbotin, I.Ya. & Voskoglou, M.Gr., An Application of the Generalized Rectangular Fuzzy Model to Critical Thinking Assessment, American Journal of Educational Research, 4(5), 2016, pp. 397- 403.

[10] Voskoglou, M. Gr., A Study on Fuzzy Systems, American Journal of Computational and Applied Mathematics, 2(5), 2012, pp. 232-240.

[11] Voskoglou, M. Gr., Subbotin, I. Ya., Dealing with the Fuzziness of Human Reasoning, International Journal of Applications of Fuzzy Sets and Artificial Intelligence, 3, 2013, pp. 91- 106.

[12] Voskoglou, M. Gr., Case-Based Reasoning in Computers and Human Cognition: A Mathematical Framework, International Journal of Machine Intelligence and Sensory Signal Processing, 1, 2013, pp. 3-22.

[13] Voskoglou, M. Gr, Assessing the Players’ Performance in the Game of Bridge, American Journal of Applied Mathematics and Statistics, 2(3), 2014, pp. 115-120

[14] Voskoglou, M. Gr., A Triangular Fuzzy Model for Decision Making, American Journal of Computational and Applied Mathematics, 4(6), 2014, pp. 195-201.

[15] Voskoglou, M. Gr., An application of the COG technique to assessment of student understanding of polar coordinates, NAUN International Journal of Education and Information Technologies, 11, 2017, pp. 1-5.

[16] Swinburne.edu.au, Grade Point Average Assessment, retrieved on October 15, 2014 from: http://www.swinburne.edu.au/studentadministration/assessment/gpa.html

[17] van Broekhoven, E. & De Baets, B., Fast and accurate centre of gravity defuzzification of fuzzy system outputs defined on trapezoidal fuzzy partitions, Fuzzy Sets and Systems, 157(7), 2006, pp. 904-918.

[18] Wikipedia, Trapezoid: Other properties, retrieved on October 10, 2014 from http://en.wikipedia.org/wiki/trapezoid#other_properties

[19] Voskoglou, M. Gr., Managing the uncertainty for student understanding of the infinity, NAUN International Journal of Fuzzy Systems and Advanced Applications, 4, 2017, pp. 8-13.

[20] Voskoglou, M. Gr., Use of TFNs and TpFNs for evaluating the effectiveness of CBR systems, NAUN International Journal of Fuzzy Systems and Advanced Applications, 4, 2017, pp. 1-7.

Cite this paper

Michael Gr. Voskoglou. (2017) Variations of the Rectangular Fuzzy Assessment Model and Applications to Human Activities. International Journal of Education and Learning Systems, 2, 115-124

 

cc.png
Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0