Formal theory of notions, concept analisys, context technology of knowledge processing, data processing, algebraic decomposition of discrete functions, Boolean calculation.
Main publications:
Multiple logic computation // Automation and Remote Control. 1998. Vol. 59, Part 2, No 6. PP. 885–891.
Time-Parallel computation // Automation and Remote Control. 1999. Vol. 60, No 12. PP. 1803–1810.
Spectral Methods in Logic Data Analysis // Automation and Remote Control. 2001. Vol. 62, No 10. PP. 1565–1587.
The Polynomial Factorization of Spectral Basis // Automation and Remote Control. 2004. Vol. 65, No 12. PP. 888–893.
Algebraic Decomposition of Discrete Functions // Automation and Remote Control. 2006. Vol. 67, No 3. PP. 361–392.
Additive algebra for signal and image processing // Proceedings of SPIE. 2005. Vol. 5822. PP. 94–97.
Description of the semantics of context-free languages by the mathematical induction method // Automatic Documentation and Mathematical Linguistics. 2008, Vol. 42, No. 4. PP. 212–220.
I. Naumov, V. S. Vykhovanets, “Using syntactic text analysis to estimate educational tasks’ difficulty and complexity”, UBS, 48 (2014), 97–131; Autom. Remote Control, 77:1 (2016), 159–178
V. S. Vykhovanets, “Spectral Methods in Logical Data Processing”, Avtomat. i Telemekh., 2001, no. 10, 28–53; Autom. Remote Control, 62:10 (2001), 1565–1587
V. S. Vykhovanets, “Parallel computations in time”, Avtomat. i Telemekh., 1999, no. 12, 155–165; Autom. Remote Control, 60:12 (1999), 1803–1810
1998
15.
V. S. Vykhovanets, V. D. Malyugin, “Multiple logic computations”, Avtomat. i Telemekh., 1998, no. 6, 163–171; Autom. Remote Control, 59:6 (1998), 885–891