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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Fuzzy Sets Theory and Applications (Hardcover, 1986 ed.)
Loot Price: R4,747
Discovery Miles 47 470
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Fuzzy Sets Theory and Applications (Hardcover, 1986 ed.)
Series: NATO Science Series C, 177
Expected to ship within 10 - 15 working days
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Problems in decision making and in other areas such as pattern
recogni tion, control, structural engineering etc. involve numerous
aspects of uncertainty. Additional vagueness is introduced as
models become more complex but not necessarily more meaningful by
the added details. During the last two decades one has become more
and more aware of the fact that not all this uncertainty is of
stochastic (random) cha racter and that, therefore, it can not be
modelled appropriately by probability theory. This becomes the more
obvious the more we want to represent formally human knowledge. As
far as uncertain data are concerned, we have neither instru ments
nor reasoning at our disposal as well defined and unquestionable as
those used in the probability theory. This almost infallible do
main is the result of a tremendous work by the whole scientific
world. But when measures are dubious, bad or no longer possible and
when we really have to make use of the richness of human reasoning
in its variety, then the theories dealing with the treatment of
uncertainty, some quite new and other ones older, provide the
required complement, and fill in the gap left in the field of
knowledge representation. Nowadays, various theories are widely
used: fuzzy sets, belief function, the convenient associations
between probability and fuzzines~ etc *** We are more and more in
need of a wide range of instruments and theories to build models
that are more and more adapted to the most complex systems.
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