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This book highlights a broad range of modern information technology
tools, techniques, investigations and open challenges, mainly with
applications in systems research and computational physics. Divided
into three major sections, it begins by presenting specialized
calculation methods in the framework of data analysis and
intelligent computing. In turn, the second section focuses on
application aspects, mainly for systems research, while the final
section investigates how various tasks in the basic
disciplines-mathematics and physics-can be tackled with the aid of
contemporary IT methods. The book gathers selected presentations
from the 3rd Conference on Information Technology, Systems Research
and Computational Physics (ITSRCP'18), which took place on 2-5 July
2018 in Krakow, Poland. The intended readership includes
interdisciplinary scientists and practitioners pursuing research at
the interfaces of information technology, systems research, and
computational physics.
The book is a collection of contributions by leading experts,
developed around traditional themes discussed at the annual Linz
Seminars on Fuzzy Set Theory. The different chapters have been
written by former PhD students, colleagues, co-authors and friends
of Peter Klement, a leading researcher and the organizer of the
Linz Seminars on Fuzzy Set Theory. The book also includes advanced
findings on topics inspired by Klement's research activities,
concerning copulas, measures and integrals, as well as aggregation
problems. Some of the chapters reflect personal views and
controversial aspects of traditional topics, while others deal with
deep mathematical theories, such as the algebraic and logical
foundations of fuzzy set theory and fuzzy logic. Originally thought
as an homage to Peter Klement, the book also represents an advanced
reference guide to the mathematical theories related to fuzzy logic
and fuzzy set theory with the potential to stimulate important
discussions on new research directions in the field.
A broad spectrum of modern Information Technology (IT) tools,
techniques, main developments and still open challenges is
presented. Emphasis is on new research directions in various fields
of science and technology that are related to data analysis, data
mining, knowledge discovery, information retrieval, clustering and
classification, decision making and decision support, control,
computational mathematics and physics, to name a few. Applications
in many relevant fields are presented, notably in
telecommunication, social networks, recommender systems, fault
detection, robotics, image analysis and recognition, electronics,
etc. The methods used by the authors range from high level formal
mathematical tools and techniques, through algorithmic and
computational tools, to modern metaheuristics.
This book collects the abstracts of the contributions presented at
AGOP 2017, the 9th International Summer School on Aggregation
Operators. The conference took place in Skoevde (Sweden) in June
2017. Contributions include works from theory and fundamentals of
aggregation functions to their use in applications. Aggregation
functions are usually defined as those functions that are monotonic
and that satisfy the unanimity condition. In particular settings
these conditions are relaxed. Aggregation functions are used for
data fusion and decision making. Examples of these functions
include means, t-norms and t-conorms, copulas and fuzzy integrals
(e.g., the Choquet and Sugeno integrals).
The book is a collection of contributions by leading experts,
developed around traditional themes discussed at the annual Linz
Seminars on Fuzzy Set Theory. The different chapters have been
written by former PhD students, colleagues, co-authors and friends
of Peter Klement, a leading researcher and the organizer of the
Linz Seminars on Fuzzy Set Theory. The book also includes advanced
findings on topics inspired by Klement's research activities,
concerning copulas, measures and integrals, as well as aggregation
problems. Some of the chapters reflect personal views and
controversial aspects of traditional topics, while others deal with
deep mathematical theories, such as the algebraic and logical
foundations of fuzzy set theory and fuzzy logic. Originally thought
as an homage to Peter Klement, the book also represents an advanced
reference guide to the mathematical theories related to fuzzy logic
and fuzzy set theory with the potential to stimulate important
discussions on new research directions in the field.
This volume collects the extended abstracts of 45 contributions of
participants to the Seventh International Summer School on
Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20,
2013. These contributions cover a very broad range, from the purely
theoretical ones to those with a more applied focus. Moreover, the
summaries of the plenary talks and tutorials given at the same
workshop are included. Together they provide a good overview of
recent trends in research in aggregation functions which can be of
interest to both researchers in Physics or Mathematics working on
the theoretical basis of aggregation functions, and to engineers
who require them for applications.
1. The increasing number of research papers appeared in the last
years that either make use of aggregation functions or contribute
to its theoretieal study asses its growing importance in the field
of Fuzzy Logie and in others where uncertainty and imprecision play
a relevant role. Since these papers are pub- lished in many
journals, few books and several proceedings of conferences, books
on aggregation are partieularly welcome. To my knowledge, "Agrega-
tion Operators. New Trends and Applications" is the first book
aiming at generality , and I take it as a honour to write this
Foreword in response to the gentle demand of its editors, Radko
Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives
from the fact that twenty years aga I was one of the first
Spaniards interested in the study of aggregation functions, and
this book includes work by several Spanish authors. The book
contains nice and relevant original papers, authored by some of the
most outstanding researchers in the field, and since it can serve,
as the editors point out in the Preface, as a small handbook on
aggregation, the book is very useful for those entering the subject
for the first time. The book also contains apart dealing with
potential areas of application, so it can be helpful in gaining
insight on the future developments.
1. The increasing number of research papers appeared in the last
years that either make use of aggregation functions or contribute
to its theoretieal study asses its growing importance in the field
of Fuzzy Logie and in others where uncertainty and imprecision play
a relevant role. Since these papers are pub lished in many
journals, few books and several proceedings of conferences, books
on aggregation are partieularly welcome. To my knowledge, "Agrega
tion Operators. New Trends and Applications" is the first book
aiming at generality, and I take it as a honour to write this
Foreword in response to the gentle demand of its editors, Radko
Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives
from the fact that twenty years aga I was one of the first
Spaniards interested in the study of aggregation functions, and
this book includes work by several Spanish authors. The book
contains nice and relevant original papers, authored by some of the
most outstanding researchers in the field, and since it can serve,
as the editors point out in the Preface, as a small handbook on
aggregation, the book is very useful for those entering the subject
for the first time. The book also contains apart dealing with
potential areas of application, so it can be helpful in gaining
insight on the future developments."
Computational Intelligence is a very dynamic domain of modern
information society which integrates fields such as neural
networks, fuzzy systems, evolutionary computation and intelligent
systems in general. The book presents papers from the
Euro-International Symposium on Computational Intelligence held in
Kosice (Slovak Republic) in August 2000. It contains theoretical
studies along with a chapter on applications and case studies. One
of the main results of the symposium is that the combination of
various techniques into hybrid intelligent systems will be very
important for the development of intelligent information systems in
the 21st century. The book also contains interesting forewords
written by L.A. Zadeh, D.E. Goldberg, and K. Fukushima.
This book collects the contributions presented at AGOP 2019, the
10th International Summer School on Aggregation Operators, which
took place in Olomouc (Czech Republic) in July 2019. It includes
contributions on topics ranging from the theory and foundations of
aggregation functions to their various applications. Aggregation
functions have numerous applications, including, but not limited
to, data fusion, statistics, image processing, and decision-making.
They are usually defined as those functions that are monotone with
respect to each input and that satisfy various natural boundary
conditions. In particular settings, these conditions might be
relaxed or otherwise customized according to the user's needs.
Noteworthy classes of aggregation functions include means, t-norms
and t-conorms, uninorms and nullnorms, copulas and fuzzy integrals
(e.g., the Choquet and Sugeno integrals). This book provides a
valuable overview of recent research trends in this area.
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 volume gives a state of the art of triangular norms which can
be used for the generalization of several mathematical concepts,
such as conjunction, metric, measure, etc. 16 chapters written by
leading experts provide a state of the art overview of theory and
applications of triangular norms and related operators in fuzzy
logic, measure theory, probability theory, and probabilistic metric
spaces.
Key Features:
- Complete state of the art of the importance of triangular norms
in various mathematical fields
- 16 self-contained chapters with extensive bibliographies cover
both the theoretical background and many applications
- Chapter authors are leading authorities in their fields
- Triangular norms on different domains (including discrete,
partially ordered) are described
- Not only triangular norms but also related operators (aggregation
operators, copulas) are covered
- Book contains many enlightening illustrations
- Complete state of the art of the importance of triangular norms
in various mathematical fields
- 16 self-contained chapters with extensive bibliographies cover
both the theoretical background and many applications
- Chapter authors are leading authorities in their fields
- Triangular norms on different domains (including discrete,
partially ordered) are described
- Not only triangular norms but also related operators (aggregation
operators, copulas) are covered
- Book contains many enlightening illustrations
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