Abstract
Unlike the classical probability-based approach we consider the generation and evaluation of tests based on a fuzzy approach. This leads to tasks which can be solved within the frame of fuzzy relational equations. Several examples illustrate the usefulness of our approach.
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
Bartl, E., Belohlavek, R., Vychodil, V.: Bivalent and Other Solutions of Fuzzy Relational Equations via Linguistic Hedges. Fuzzy Sets and Systems 187, 103–112 (2012)
Crocker, L., Algina, J.: Introduction to Classical and Modern Test Theory. Thompson Wadsworth (2006)
Czogala, E., Drewniak, J., Pedrycz, W.: Fuzzy Relation Equations on a Finite Set. Fuzzy Sets and Systems 7, 89–101 (1982)
Dubois, D., Prade, H., Sandri, S.: On Possibility/Probability Transformations. In: Proc. 4th IFSA Conf. (1993)
Higashi, M., Klir, G.J.: Resolution of Fuzzy Relation Equations. Fuzzy Sets and Systems 13, 65–82 (1984)
Mouchaweh, M.S., Billaudel, P.: Variable Probability-Possibility Transformation for the Diagnosis by Pattern Recognition. Int. Journal Comp. Intelligence 1, 9–21 (2006)
Peeva, K., Kyosev, Y.: Fuzzy Relation Calculus. Theory, Applications and Software. Scientific Publishing Co. (2004)
Wagenknecht, M., Hartmann, K.: Application of Fuzzy Sets of Type 2 to the Solution of Fuzzy Equations Systems. Fuzzy Sets and Systems 25, 183–190 (1988)
Wagenknecht, M.: On the Controllability of Fuzzy Multistage Systems. Fuzzy Sets and Systems 35, 251–252 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wagenknecht, M., Sokolov, O., Molchanova, O. (2012). Application of Fuzzy Relations to Test Theory. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_46
Download citation
DOI: https://doi.org/10.1007/978-3-642-31715-6_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31714-9
Online ISBN: 978-3-642-31715-6
eBook Packages: Computer ScienceComputer Science (R0)