APPLICATION OF FUZZY RELATIONS TO TEST THEORY

Authors

  • M. Wagenknecht IPM, Zittau/Goerlitz University of Applied Sciences, Theodor-Koerner-Allee 16, Zittau, D-02763, Germany
  • О. Sokolov National Aerospace University «Kharkiv Aviation Institute» named by M. Ye. Zhukovskyi, 61070, Ukraine, Kharkiv, Chkalov Str., 17, phone: 8 (057) 7074009, 7074313, 7074793, 7074848, fax: 8 (057) 3151131,
  • О. Molchanova National Aerospace University «Kharkiv Aviation Institute» named by M. Ye. Zhukovskyi, 61070, Ukraine, Kharkiv, Chkalov Str., 17, phone: 8 (057) 7074009, 7074313, 7074793, 7074848, fax: 8 (057) 3151131,

Keywords:

test theory, generation and evaluation of tests, fuzzy relational equations.

Abstract

Unlike the classical probability-based approach we consider the ge-neration 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.

References

1 Bartl E. Bivalent and Other Solutions of Fuzzy Relational Equations via Linguistic Hedges / E.Bartl, R Belohlavek, V.Vychodil // Fuzzy Sets and Systems 187. – 2012. – P.103-112.
2 Crocke L. Introduction to Classical and Modern Test Theory / L.Crocker, J.Algina // Thompson Wadsworth. – 2006.
3 Czogala E. Fuzzy Relation Equations on a Finite / E.Czogala, J.Drewniak, W.Pedrycz // Set. Fuzzy Sets and Systems 7. – 1982. – P.89-101.
4 Dubois D. On Possibility/Probability Transformations / D.Dubois, H.Prade, S.Sandri // Proc.4th IFSA Conf. – 1993.
5 Higashi M. Resolution of Fuzzy Relation Equations / M.Higashi, G.J.Klir // Fuzzy Sets and Systems 13. – 1984. – P. 65-82.
6 Mouchaweh M.S. Variable Probability-Possibility Transformation for the Diagnosis by Pattern Recognition / M.S.Mouchaweh P.Billaudel // Int. Journal Comp. Intelligence 1. – 2006. – P.9 -
21.
7 Wagenknecht, M. Application of Fuzzy Sets of Type 2 to the So-lution of Fuzzy Equations Systems / M.Wagenknecht, K.Hartmann // Fuzzy Sets and Systems 25. – 1988. – P.183-190
8 Wagenknecht M. On the Controllability of Fuzzy Multistage Systems / M.Wagenknecht // Fuzzy Sets and Systems 35. – 1990. – P.251-252.

Downloads

Published

12.10.2012

How to Cite

Wagenknecht, M., Sokolov О., & Molchanova О. (2012). APPLICATION OF FUZZY RELATIONS TO TEST THEORY. Oil and Gas Power Engineering, (2(18), 132–135. Retrieved from https://nge.nung.edu.ua/index.php/nge/article/view/22

Issue

No. 2(18) (2012): OIL AND GAS POWER ENGINEERING

Section

SCIENCE AND MODERN TECHNOLOGIES