Abstract
The paper is devoted to the problem of replacing crisp numbers with interval numbers in soft computations. The original concept of an interval-valued vector (IVV) is introduced, and the new extensions of classic similarity measures are proposed to handle IVV matching. Finally, the presented data structure and the matching methods are used in the process of an automated evaluation of tests in e-learning (distance learning within the Internet).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cross, V.V., Sudkamp, T.A.: Similarity and Compatibility in Fuzzy Set Theory. Physica-Verlag, c/o Springer, Heidelberg (2002)
Entemann, C.W.: A fuzzy logic with interval truth values. Fuzzy Sets and Systems 113, 162–183 (2000)
Karnik, N.N., Mendel, J.M.: An Introduction to Type-2 Fuzzy Logic Systems. University of Southern California, Los Angeles (1998)
Moore, R., Lodwick, W.: Interval analysis and fuzzy set theory. Fuzzy Sets and Systems 135, 5–9 (2003)
Niewiadomski, A., Szczepaniak, P.S.: Fuzzy Similarity in E-Commerce Domains. In: Segovia, J., Szczepaniak, P.S., Niedzwiedzinski, M. (eds.) E-Commerce and Intelligent Methods. Springer, Heidelberg (2002)
Niewiadomski, A., Grzybowski, R.: Fuzzy measures of text similarity in automated evaluation of exams tests. Therotical and Applied Computer Science 5, 193–200 (2003) (in Polish)
Niewiadomski, A., Jedynak, A., Grzybowski, R.: Automated evaluation of e-tests. In: Proceedings of 4th Ukrainian-Polish Conference Environmental Mechanics, Methods of Computer Science And Simulations, Lviv, Ukraine, June 24-26, pp. 133–140 (2004) (in Polish)
Niewiadomski, A., Rybusinski, B., Sakowski, K., Grzybowski, R.: The application of multivalued similarity relations to automated evaluation of grammar tests. In: Academy On-line — e-learning, methodics, technologies, management (to appear) (in Polish)
Ross, T.J.: Fuzzy Logic with Engineering Applications. McGraw Hill Inc., New York (1995)
Szczepaniak, P.S., Niewiadomski, A.: Internet Searched Based on Text Intuitionistic Fuzzy Similarity. In: Szczepaniak, P.S., Segovia, J., Kacprzyk, J., Zadeh, L.A. (eds.) Intelligent Exploration of the Web. Physica Verlag, c/o Springer, Heidelberg (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Niewiadomski, A. (2005). Interval-Valued Data Structures and Their Application to e-Learning. In: Vojtáš, P., Bieliková, M., Charron-Bost, B., Sýkora, O. (eds) SOFSEM 2005: Theory and Practice of Computer Science. SOFSEM 2005. Lecture Notes in Computer Science, vol 3381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30577-4_49
Download citation
DOI: https://doi.org/10.1007/978-3-540-30577-4_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24302-1
Online ISBN: 978-3-540-30577-4
eBook Packages: Computer ScienceComputer Science (R0)