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Aggregation Functions (Hardcover)
Loot Price: R4,086
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Aggregation Functions (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 9 - 15 working days
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Aggregation is the process of combining several numerical values
into a single representative value, and an aggregation function
performs this operation. These functions arise wherever aggregating
information is important: applied and pure mathematics
(probability, statistics, decision theory, functional equations),
operations research, computer science, and many applied fields
(economics and finance, pattern recognition and image processing,
data fusion, etc.). This is a comprehensive, rigorous and
self-contained exposition of aggregation functions. Classes of
aggregation functions covered include triangular norms and conorms,
copulas, means and averages, and those based on nonadditive
integrals. The properties of each method, as well as their
interpretation and analysis, are studied in depth, together with
construction methods and practical identification methods. Special
attention is given to the nature of scales on which values to be
aggregated are defined (ordinal, interval, ratio, bipolar). It is
an ideal introduction for graduate students and a unique resource
for researchers.
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