Background
Belohlávek, Radim was born on March 5, 1971 in Pardubice, Czech Republic. Son of Oldrich and Marta Belohlávek.
(Since their inception, fuzzy sets and fuzzy logic became ...)
Since their inception, fuzzy sets and fuzzy logic became popular. The reason is that the very idea of fuzzy sets and fuzzy logic attacks an old tradition in science, namely bivalent (black-or-white, all-or-none) judg ment and reasoning and the thus resulting approach to formation of scientific theories and models of reality. The idea of fuzzy logic, briefly speaking, is just the opposite of this tradition: instead of full truth and falsity, our judgment and reasoning also involve intermediate truth values. Application of this idea to various fields has become known under the term fuzzy approach (or graded truth approach). Both prac tice (many successful engineering applications) and theory (interesting nontrivial contributions and broad interest of mathematicians, logicians, and engineers) have proven the usefulness of fuzzy approach. One of the most successful areas of fuzzy methods is the application of fuzzy relational modeling. Fuzzy relations represent formal means for modeling of rather nontrivial phenomena (reasoning, decision, control, knowledge extraction, systems analysis and design, etc. ) in the pres ence of a particular kind of indeterminacy called vagueness. Models and methods based on fuzzy relations are often described by logical formulas (or by natural language statements that can be translated into logical formulas). Therefore, in order to approach these models and methods in an appropriate formal way, it is desirable to have a general theory of fuzzy relational systems with basic connections to (formal) language which enables us to describe relationships in these systems.
http://www.amazon.com/gp/product/0306467771/?tag=2022091-20
(The book deals with similarity relations defined on a set...)
The book deals with similarity relations defined on a set with functions. The functions are required to map similar elements to similar ones. The book presents basic mathematical properties of structures consisting of similarity-preserving functions and logics for reasoning about similarities. The presented text is self-contained. The notions and results are demonstrated through examples which are graphically illustrated. The book is useful for researchers, but it can also be used as a graduate text.
http://www.amazon.com/gp/product/3642065759/?tag=2022091-20
Belohlávek, Radim was born on March 5, 1971 in Pardubice, Czech Republic. Son of Oldrich and Marta Belohlávek.
Master of Science in Computer Science and Mathematics, Palacky University, Olomouc, Czech Republic, 1994. Postgraduate, Palacky University, Olomouc, Czech Republic. Doctor of Philosophy in Computer Science, Technology University Ostrava, Czech Republic, 1998.
Doctor of Science in Mathematics, Czech Academy of Sciences, 2008.
Assistant professor mathematics Technology University Ostrava, 1994—1996. Researcher State University of New York, Binghamton, 1999-2000. Senior researcher, vice director Institute for Fuzzy Modeling, University Ostrava, 1996—2000.
Head Department Computer Science Palacky University, Olomouc, Czech Republic, 2001—2007, professor computer science, since 2005. Professor State University of New York, Binghamton, since 2007. Reviewer mathematics reviews American Mathematics Society, since 1998.
(The book deals with similarity relations defined on a set...)
(Since their inception, fuzzy sets and fuzzy logic became ...)
Member of Institute of Electrical and Electronics Engineers, Association Computer Machine, American Mathematics Society.
Married Jana Nemcíková, July 26, 1997. Children: Ivan, Jan, Natalie.