Interval-Valued Data Structures and Their Application to e-Learning

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).

[1]  T. Ross Fuzzy Logic with Engineering Applications , 1994 .

[2]  Piotr S. Szczepaniak,et al.  Fuzzy Similarity in E-Commerce Domains , 2002 .

[3]  Carl W. Entemann A fuzzy logic with interval truth values , 2000, Fuzzy Sets Syst..

[4]  N. N. Karnik,et al.  Introduction to type-2 fuzzy logic systems , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[5]  Thomas Sudkamp,et al.  Similarity and Compatibility in Fuzzy Set Theory , 2002 .

[6]  P. Szczepaniak,et al.  E-Commerce and Intelligent Methods , 2002 .

[7]  Piotr S. Szczepaniak,et al.  Internet Search Based on Text Intuitionistic Fuzzy Similarity , 2003, Intelligent Exploration of the Web.

[8]  Ramon E. Moore,et al.  Interval analysis and fuzzy set theory , 2003, Fuzzy Sets Syst..

[9]  Janusz Kacprzyk,et al.  Intelligent Exploration of the Web , 2003, Studies in Fuzziness and Soft Computing.