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This book combines computational intelligence and mathematics to
solve theoretical and real-world problems. The real challenges of
engineering and other applied sciences, e.g. economics and
management, the social sciences, etc., and even everyday life, are
increasingly raising complex problems - both in the usual sense,
but also in the mathematical and theoretical computer science
sense, which is referred to as intractability. Finding exact
solutions to the latest problems in mathematics is impossible, and
it has been also shown that no further technical advance will ever
make it possible to find general and exact solutions to such
complex problems. Rather, the goal is to find solutions that are
"good enough" or "acceptably accurate," including models and
corresponding algorithms, which is most often achieved by combining
traditional mathematical techniques and computational intelligence
tools, such as fuzzy systems, evolutionary and memetic algorithms,
and artificial neural networks. Consequently, international funding
programs, such as the European Commission's current framework
program for research and innovation (Horizon 2020), and the
preliminary research team building COST Actions, are devoted to
developing new instruments for tackling the challenges that we face
in the current technological age. And it goes without saying that
research topics concerning the interactions between computational
intelligence and traditional mathematics play a key role in
overcoming the obstacles associated with the intractability of
complex problems. In this book, mathematicians, engineers, and
other scientists highlight novel methodological results connecting
these two main research areas, and focusing on solving real-life
problems.
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