Prof. Vilem Novak
University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, Czech Republic
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Academic Career Length
26Years (2001-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications5 March 2010 in International Journal of General Systems
Journal Article
Vilem Novak
Martin Štěpnička
Antonin DvorakIPIrina Perfilieva
Irina Perfilieva
VPViktor Pavliska
Viktor Pavliska
LVLenka Vavříčková
Lenka Vavříčková
A new methodology for the analysis and forecasting of time series is proposed. It directly employs two soft computing techniques: the fuzzy transform and the perception-based logical deduction. Thanks to the use of both these methods, and to the innovative approach, consisting of the construction of several independent models, the methodology is successfully applicable to robust long-time predictions.
24 September 2004 in International Journal of Intelligent Systems
Journal Article
Vilem Novak
Irina PerfilievaIn this article, we return to the problem of the derivation of a conclusion on the basis of fuzzy IF–THEN rules. The so-called Mamdani method is well elaborated and widely applied. In this article, we present an alternative to it. The fuzzy IF–THEN rules are here interpreted as genuine linguistic sentences consisting of the so-called evaluating linguistic expressions. Sets of fuzzy IF–THEN rules are called linguistic descriptions. Linguistic expressions derived on the basis of an observation in a concrete context are called perceptions. Together with the linguistic description, they can be used in logical deduction, which we will call a perception-based logical deduction. We focus on semantics only and confine ourselves to one specific model. If the perception-based deduction is repeated and the result interpreted in an appropriate model, we obtain a piecewise continuous and monotonous function. Though the method has already proved to work well in many applications, the nonsmoothness of the output may sometimes lead to problems. We propose in this article a method for how the resulting function can be made smooth so that the output preserves its good properties. The idea consists of postprocessing the output using a special fuzzy approximation method called F-transform. © 2004 Wiley Periodicals, Inc. Int J Int Syst 19: 1007–1031, 2004.
17 January 2010 in Logic Journal of the IGPL
Journal Article
Vilem NovakIn this paper, we introduce a new algebra called ‘EQ-algebra’, which is an alternative algebra of truth values for formal fuzzy logics. It is specified by replacing implication as the main operation with a fuzzy equality. Namely, EQ-algebra is a semilattice endowed with a binary operation of fuzzy equality and a binary operation of multiplication. Implication is derived from the fuzzy equality and it is not a residuation with respect to multiplication. Consequently, EQ-algebras overlap with residuated lattices but are not identical with them. We choose one class of suitable EQ-algebras (good EQ-algebras) and develop a formal theory of higher-order fuzzy logic called ‘basic fuzzy type theory’ (FTT). We develop in detail its syntax and semantics, and we prove some basic properties, including the completeness theorem with respect to generalized models. The paper also provides an overview of the present state of the art of FTT.
1 October 2015 in Fuzzy Sets and Systems
Journal Article
MHMichal Holcapek
Michal HolcapekIrina PerfilievaVilem NovakVKVladik Kreinovich
Vladik KreinovichAbout Me
Prof. Vilem Novak, Ph.D., DSc. is founder and former director of the Institute for Research and Applications of Fuzzy Modeling of the University of Ostrava, Czech Republic. The institute (established in 1996) is one of the world-renowned scientific workplaces that significantly contributed to the theory and applications of fuzzy modeling. V. Novak obtained a PhD in mathematical logic at Charles University, Prague in 1988; DSc. (Doctor of Sciences) in computer science in the Polish Academy of Sciences, Warsaw in 1995; full professor at Masaryk University, Brno in 2001. His research activities include mathematical fuzzy logic, approximate reasoning, mathematical modeling of linguistic semantics, fuzzy control, analysis and forecasting of time series, and various kinds of fuzzy modeling
applications. He belongs among pioneers of the fuzzy set theory. He was general chair of the VIIth IFSA'97 World Congress, Prague and of the international conferences EUSFLAT 2007, Ostrava and EUSFLAT 2019, Prague. He is a member of editorial boards of several scientific journals. He
is often invited to give plenary talks at international conferences and to give lectures in universities all over the world.
He is the author or co-author of 5 scienti c monographs, two edited mono-
graphs, and over 300 scienti c papers with over 7000 citations. He was awarded
in the International Conference FLINS 2010 in China and obtained the title
IFSA fellow" in 2017 for his scienti c achievements. He is current