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The theory and applications of intelligent systems is today an
important field of research. This book is an up-to-date collection
of seventeen chapters, written by recognized experts in the field.
In an introductory mathematical foundations part an overview of
generalizations of the integral inequalities for nonadditive
integrals and a construction of the General Prioritized Fuzzy
Satisfaction Problem is given. Then different aspects of robotics
are presented, such as the differences between human beings and
robots, the motion of bipedal humanoid robots, and an evaluation of
different autonomous quadrotor flight controllers. Also Fuzzy
Systems are presented by a model of basic planar imprecise
geometric objects allowing various applications in image analysis ,
GIS, and robotics, as well as a type-2 fuzzy logic in a software
library for developing perceptual computers, and a
two--degree--of--freedom speed control solutions for a brushless
Direct Current motor. The book also presents recent applications in
medicine such as a Virtual Doctor System, methods for a face to
face human machine interaction, and an emotion estimation, with
applications for multiple diseases and the effect of the applied
therapy. The last part of the book covers different applications in
transportation, network monitoring, and localization of pedestrians
in images.
This book is an up-to-date collection, in AI and environmental
research, related to the project ATLAS. AI is used for gaining an
understanding of complex research phenomena in the environmental
sciences, encompassing heterogeneous, noisy, inaccurate, uncertain,
diverse spatio-temporal data and processes. The first part of the
book covers new mathematics in the field of AI: aggregation
functions with special classes such as triangular norms and
copulas, pseudo-analysis, and the introduction to fuzzy systems and
decision making. Generalizations of the Choquet integral with
applications in decision making as CPT are presented. The second
part of the book is devoted to AI in the geo-referenced air
pollutants and meteorological data, image processing, machine
learning, neural networks, swarm intelligence, robotics, mental
well-being and data entry errors. The book is intended for
researchers in AI and experts in environmental sciences as well as
for Ph.D. students.
This book is intended to be an exhaustive study on regularity and
other properties of continuity for different types of non-additive
multimeasures and with respect to different types of topologies.
The book is addressed to graduate and postgraduate students,
teachers and all researchers in mathematics, but not only. Since
the notions and results offered by this book are closely related to
various notions of the theory of probability, this book will be
useful to a wider category of readers, using multivalued analysis
techniques in areas such as control theory and optimization,
economic mathematics, game theory, decision theory, etc. Measure
and integration theory developed during the early years of the 20th
century is one of the most important contributions to modern
mathematical analysis, with important applications in many fields.
In the last years, many classical problems from measure theory have
been treated in the non-additive case and also extended in the
set-valued case. The property of regularity is involved in many
results of mathematical analysis, due to its applications in
probability theory, stochastic processes, optimal control problems,
dynamical systems, Markov chains, potential theory etc.
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Aggregation Functions (Hardcover)
Michel Grabisch, Jean-Luc Marichal, Radko Mesiar, Endre Pap
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R3,838
R3,507
Discovery Miles 35 070
Save R331 (9%)
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Ships in 12 - 17 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.
This book is an up-to-date collection, in AI and environmental
research, related to the project ATLAS. AI is used for gaining an
understanding of complex research phenomena in the environmental
sciences, encompassing heterogeneous, noisy, inaccurate, uncertain,
diverse spatio-temporal data and processes. The first part of the
book covers new mathematics in the field of AI: aggregation
functions with special classes such as triangular norms and
copulas, pseudo-analysis, and the introduction to fuzzy systems and
decision making. Generalizations of the Choquet integral with
applications in decision making as CPT are presented. The second
part of the book is devoted to AI in the geo-referenced air
pollutants and meteorological data, image processing, machine
learning, neural networks, swarm intelligence, robotics, mental
well-being and data entry errors. The book is intended for
researchers in AI and experts in environmental sciences as well as
for Ph.D. students.
The theory and applications of intelligent systems is today an
important field of research. This book is an up-to-date collection
of seventeen chapters, written by recognized experts in the field.
In an introductory mathematical foundations part an overview of
generalizations of the integral inequalities for nonadditive
integrals and a construction of the General Prioritized Fuzzy
Satisfaction Problem is given. Then different aspects of robotics
are presented, such as the differences between human beings and
robots, the motion of bipedal humanoid robots, and an evaluation of
different autonomous quadrotor flight controllers. Also Fuzzy
Systems are presented by a model of basic planar imprecise
geometric objects allowing various applications in image analysis ,
GIS, and robotics, as well as a type-2 fuzzy logic in a software
library for developing perceptual computers, and a
two--degree--of--freedom speed control solutions for a brushless
Direct Current motor. The book also presents recent applications in
medicine such as a Virtual Doctor System, methods for a face to
face human machine interaction, and an emotion estimation, with
applications for multiple diseases and the effect of the applied
therapy. The last part of the book covers different applications in
transportation, network monitoring, and localization of pedestrians
in images.
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