EVALUATION OF COMPUTER ALGEBRA SYSTEMS USING FUZZY AHP

Yıl 2013, Cilt: 3 Sayı: 2, 533 - 539, 01.12.2013

Ilham N. Huseyınov Feride S. Tabak

Öz

The paper proposes an evaluation model based on fuzzy AHP to help users select CAS
that best matches their requirements. The subjectiveness and imprecision of the evaluation process
are modeled using linguistic terms. The evaluation criteria framework based on the usability and
problem solving capability of CAS is developed. Fuzzy (AHP) is employed to determine the relative
importance weights of criteria and the preference order of alternatives. The applicability and effectiveness
of the proposed methodology is illustrated.

Anahtar Kelimeler

CAS, fuzzy AHP, usability, problem solving capability, linguistic evaluation

Kaynakça

• Vlachos, P., Kehagias, A. : A Computer Algebra System and a New Approach for Teaching Business Calculus. Int. Journal of Computer Algebra in Mathematics Edu- cation. vol.7, pp.87-104 (2000).
• Feride, S.T., Nilcan, C. : How to adapt CAS on the basis of Mathematical Back- ground and Computer Background at EUL. Procedia – Social Behavioral Sciences. (2012)
• Dix, A., Finlay, J., Abowd, G., Beale, R.. : Human Computer Interaction. Prentice Hall, (2003)
• Nolan, F. : CAI in Mathematical Problem Solving: Guidelines for Software Design and Purchase. Computers in the schools. 1; 2, pp.71-80 (1984)
• Hwang, C.L., Yoon, K. : Multiple Attrib- ute Decision Making – Methods and Ap- plication. Springer, Heidelberg (1981)
• Tanja, A., Borka, J. B. : Application of multi-attribute decision making approach to learning management systems evalua- tion. Journal of Computers. vol 2, No10, pp.28-37 (2007)
• Daniel, Y. S., Yi-Shun, W. : Multi-criteria evaluation of the web-based e-learning system: A methodology based on learner satisfaction and its application. Computers and Education. 50, pp. 894-905 (2008)
• Saaty, L.T. : The Analytical Hierarchy Pro- cess. McGraw Hill Company, New York (1980)
• Huseyinov, I.N. : Linguistic fuzzy model- ling cognitive styles/learning styles for ad- aptation through multi-level granulation. In: Jacko, J.A. (Ed.): HCII 2011. LNCS, vol. 6764, pp.39-47. Springer, Heidelberg (2011)
• Laarhoven, P.M. J., Pedrycz W. : A fuzzy extension of Saaty’s priority theory. Fuzzy Sets and Systems. 11, pp. 229-241(1983)
• Chen, S.J., Hwang, C.L. : Fuzzy Multiple Attribute Decision Making Methods and Applications. Springer, Berlin (1992)
• Chang, D.Y. : Applications of the extent analyis method on fuzzy AHP. European Journal of Operational Research. 95(3), pp. 649-655 (1996)
• Zadeh, L.A. : Fuzzy sets. Information and control. 8 (3), pp.338-353(1965)
• Zadeh, L. : The concept of a linguistic var- iable and its applications to approximate reasoning. Information Sciences. 8 (Part 1, 2, 3,), 199–249, 301-357, 43-80 (1975)
• Chen, S. H., Hsieh, C. H. : Representation, ranking, distance, and similarity of L-R type fuzzy number and application. Aus- tralian Journal of Intelligent Processing System. 6 (4), pp. 217-229(2000)
• Usability in Software Design, http:// www.msdn.microsoft.com/en-us/li- brary/ms997577.aspx
• Nielsen, J. : Usability Engineering. Aca- demic Press, Boston (1993)