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This book offers an inspiring and naive view on language and
reasoning. It presents a new approach to ordinary reasoning that
follows the author's former work on fuzzy logic. Starting from a
pragmatic scientific view on meaning as a quantity, and the common
sense reasoning from a primitive notion of inference, which is
shared by both laypeople and experts, the book shows how this can
evolve, through the addition of more and more suppositions, into
various formal and specialized modes of precise, imprecise, and
approximate reasoning. The logos are intended here as a synonym for
rationality, which is usually shown by the processes of
questioning, guessing, telling, and computing. Written in a
discursive style and without too many technicalities, the book
presents a number of reflections on the study of reasoning,
together with a new perspective on fuzzy logic and Zadeh's
"computing with words" grounded in both language and reasoning. It
also highlights some mathematical developments supporting this
view. Lastly, it addresses a series of questions aimed at fostering
new discussions and future research into this topic. All in all,
this book represents an inspiring read for professors and
researchers in computer science, and fuzzy logic in particular, as
well as for psychologists, linguists and philosophers.
This book offers an inspiring and naive view on language and
reasoning. It presents a new approach to ordinary reasoning that
follows the author's former work on fuzzy logic. Starting from a
pragmatic scientific view on meaning as a quantity, and the common
sense reasoning from a primitive notion of inference, which is
shared by both laypeople and experts, the book shows how this can
evolve, through the addition of more and more suppositions, into
various formal and specialized modes of precise, imprecise, and
approximate reasoning. The logos are intended here as a synonym for
rationality, which is usually shown by the processes of
questioning, guessing, telling, and computing. Written in a
discursive style and without too many technicalities, the book
presents a number of reflections on the study of reasoning,
together with a new perspective on fuzzy logic and Zadeh's
"computing with words" grounded in both language and reasoning. It
also highlights some mathematical developments supporting this
view. Lastly, it addresses a series of questions aimed at fostering
new discussions and future research into this topic. All in all,
this book represents an inspiring read for professors and
researchers in computer science, and fuzzy logic in particular, as
well as for psychologists, linguists and philosophers.
This book provides readers with a snapshot of the state-of-the art
in fuzzy logic. Throughout the chapters, key theories developed in
the last fifty years as well as important applications to practical
problems are presented and discussed from different perspectives,
as the authors hail from different disciplines and therefore use
fuzzy logic for different purposes. The book aims at showing
how fuzzy logic has evolved since the first theory formulation by
Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy
theories and implementation grew at an impressive speed and
achieved significant results, especially on the applicative side.
The study of fuzzy logic and its practice spread all over the
world, from Europe to Asia, America and Oceania. The editors
believe that, thanks to the drive of young researchers, fuzzy logic
will be able to face the challenging goals posed by computing with
words. New frontiers of knowledge are waiting to be explored. In
order to motivate young people to engage in the future development
of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the
editors invited a team of internationally respected experts to
write the present collection of papers, which shows the present and
future potentials of fuzzy logic from different disciplinary
perspectives and personal standpoints.
This book introduces readers to fundamental concepts in fuzzy
logic. It describes the necessary theoretical background and a
number of basic mathematical models. Moreover, it makes them
familiar with fuzzy control, an important topic in the engineering
field. The book offers an unconventional introductory textbook on
fuzzy logic, presenting theory together with examples and not
always following the typical mathematical style of
theorem-corollaries. Primarily intended to support engineers during
their university studies, and to spark their curiosity about fuzzy
logic and its applications, the book is also suitable for
self-study, providing a valuable resource for engineers and
professionals who deal with imprecision and non-random uncertainty
in real-world applications.
The notion of Fuzziness stands as one of the really new concepts
that have recently enriched the world of Science. Science grows not
only through technical and formal advances on one side and useful
applications on the other side, but also as consequence of the
introduction and assimilation of new concepts in its corpus. These,
in turn, produce new developments and applications. And this is
what Fuzziness, one of the few new concepts arisen in the XX
Century, has been doing so far. This book aims at paying homage to
Professor Lotfi A. Zadeh, the "father of fuzzy logic" and also at
giving credit to his exceptional work and personality. In a way,
this is reflected in the variety of contributions collected in the
book. In some of them the authors chose to speak of personal
meetings with Lotfi; in others, they discussed how certain papers
of Zadeh were able to open for them a new research horizon. Some
contributions documented results obtained from the author/s after
taking inspiration from a particular idea of Zadeh, thus implicitly
acknowledging him. Finally, there are contributions of several
"third generation fuzzysists or softies" who were firstly led into
the world of Fuzziness by a disciple of Lotfi Zadeh, who, following
his example, took care of opening for them a new road in science.
Rudolf Seising is Adjoint Researcher at the European Centre for
Soft Computing in Mieres, Asturias (Spain). Enric Trillas and
Claudio Moraga are Emeritus Researchers at the European Centre for
Soft Computing, Mieres, Asturias (Spain). Settimo Termini is
Professor of Theoretical Computer Science at the University of
Palermo, Italy and Affiliated Researcher at the European Centre for
Soft Computing, Mieres, Asturias (Spain)
This book provides readers with a snapshot of the state-of-the art
in fuzzy logic. Throughout the chapters, key theories developed in
the last fifty years as well as important applications to practical
problems are presented and discussed from different perspectives,
as the authors hail from different disciplines and therefore use
fuzzy logic for different purposes. The book aims at showing how
fuzzy logic has evolved since the first theory formulation by Lotfi
A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories
and implementation grew at an impressive speed and achieved
significant results, especially on the applicative side. The study
of fuzzy logic and its practice spread all over the world, from
Europe to Asia, America and Oceania. The editors believe that,
thanks to the drive of young researchers, fuzzy logic will be able
to face the challenging goals posed by computing with words. New
frontiers of knowledge are waiting to be explored. In order to
motivate young people to engage in the future development of fuzzy
logic, fuzzy methodologies, fuzzy applications, etc., the editors
invited a team of internationally respected experts to write the
present collection of papers, which shows the present and future
potentials of fuzzy logic from different disciplinary perspectives
and personal standpoints.
The notion of Fuzziness stands as one of the really new concepts
that have recently enriched the world of Science. Science grows not
only through technical and formal advances on one side and useful
applications on the other side, but also as consequence of the
introduction and assimilation of new concepts in its corpus. These,
in turn, produce new developments and applications. And this is
what Fuzziness, one of the few new concepts arisen in the XX
Century, has been doing so far. This book aims at paying homage to
Professor Lotfi A. Zadeh, the "father of fuzzy logic" and also at
giving credit to his exceptional work and personality. In a way,
this is reflected in the variety of contributions collected in the
book. In some of them the authors chose to speak of personal
meetings with Lotfi; in others, they discussed how certain papers
of Zadeh were able to open for them a new research horizon. Some
contributions documented results obtained from the author/s after
taking inspiration from a particular idea of Zadeh, thus implicitly
acknowledging him. Finally, there are contributions of several
"third generation fuzzysists or softies" who were firstly led into
the world of Fuzziness by a disciple of Lotfi Zadeh, who, following
his example, took care of opening for them a new road in science.
Rudolf Seising is Adjoint Researcher at the European Centre for
Soft Computing in Mieres, Asturias (Spain). Enric Trillas and
Claudio Moraga are Emeritus Researchers at the European Centre for
Soft Computing, Mieres, Asturias (Spain). Settimo Termini is
Professor of Theoretical Computer Science at the University of
Palermo, Italy and Affiliated Researcher at the European Centre for
Soft Computing, Mieres, Asturias (Spain)
This book introduces readers to fundamental concepts in fuzzy
logic. It describes the necessary theoretical background and a
number of basic mathematical models. Moreover, it makes them
familiar with fuzzy control, an important topic in the engineering
field. The book offers an unconventional introductory textbook on
fuzzy logic, presenting theory together with examples and not
always following the typical mathematical style of
theorem-corollaries. Primarily intended to support engineers during
their university studies, and to spark their curiosity about fuzzy
logic and its applications, the book is also suitable for
self-study, providing a valuable resource for engineers and
professionals who deal with imprecision and non-random uncertainty
in real-world applications.
The unexpected and premature passing away of Professor Ebrahim H.
"Abe" Mamdani on January, 22, 2010, was a big shock to the
scientific community, to all his friends and colleagues around the
world, and to his close relatives. Professor Mamdani was a
remarkable figure in the academic world, as he contributed to so
many areas of science and technology. Of great relevance are his
latest thoughts and ideas on the study of language and its handling
by computers. The fuzzy logic community is particularly indebted to
Abe Mamdani (1941-2010) who, in 1975, in his famous paper An
Experiment in Linguistic Synthesis with a Fuzzy Logic Controller,
jointly written with his student Sedrak Assilian, introduced the
novel idea of fuzzy control. This was an elegant engineering
approach to the modeling and control of complex processes for which
mathematical models were unknown or too difficult to build, yet
they could effectively and efficiently be controlled by human
operators. This ground-breaking idea has found innumerable
applications and can be considered as one of the main factors for
the proliferation and adoption of fuzzy logic technology. Professor
Mamdani's own life and vital experience are illustrative of his
"never surrendering" attitude while facing adversaries, which is
normal for a person proposing any novel solution, and represent a
great example for everybody. His subtle sense of humor, his joy for
life, and his will to critically help people, especially young
people, were characteristics deeply appreciated by all the people
who enjoyed and benefited from his friendship and advice. This book
constitutes a posthumous homage to Abe Mamdani. It is a collection
of original papers related in some way to his works, ideas and
vision, and especially written by researchers directly acquainted
with him or with his work. The underlying goal of this book will be
fulfilled if, in the very spirit of Mamdani's legacy, the papers
will trigger a scientific or philosophical debate on the issues
covered, or contribute to a cross-fertilization of ideas in the
various fields.
The notion of Fuzziness stands as one of the really new concepts
that have recently enriched the world of Science. Science grows not
only through technical and formal advances on one side and useful
applications on the other side, but also as consequence of the
introduction and assimilation of new concepts in its corpus. These,
in turn, produce new developments and applications. And this is
what Fuzziness, one of the few new concepts arisen in the XX
Century, has been doing so far. This book aims at paying homage to
Professor Lotfi A. Zadeh, the "father of fuzzy logic" and also at
giving credit to his exceptional work and personality. In a way,
this is reflected in the variety of contributions collected in the
book. In some of them the authors chose to speak of personal
meetings with Lotfi; in others, they discussed how certain papers
of Zadeh were able to open for them a new research horizon. Some
contributions documented results obtained from the author/s after
taking inspiration from a particular idea of Zadeh, thus implicitly
acknowledging him. Finally, there are contributions of several
"third generation fuzzysists or softies" who were firstly led into
the world of Fuzziness by a disciple of Lotfi Zadeh, who, following
his example, took care of opening for them a new road in science.
Rudolf Seising is Adjoint Researcher at the European Centre for
Soft Computing in Mieres, Asturias (Spain). Enric Trillas and
Claudio Moraga are Emeritus Researchers at the European Centre for
Soft Computing, Mieres, Asturias (Spain). Settimo Termini is
Professor of Theoretical Computer Science at the University of
Palermo, Italy and Affiliated Researcher at the European Centre for
Soft Computing, Mieres, Asturias (Spain)
The notion of Fuzziness stands as one of the really new concepts
that have recently enriched the world of Science. Science grows not
only through technical and formal advances on one side and useful
applications on the other side, but also as consequence of the
introduction and assimilation of new concepts in its corpus. These,
in turn, produce new developments and applications. And this is
what Fuzziness, one of the few new concepts arisen in the XX
Century, has been doing so far. This book aims at paying homage to
Professor Lotfi A. Zadeh, the "father of fuzzy logic" and also at
giving credit to his exceptional work and personality. In a way,
this is reflected in the variety of contributions collected in the
book. In some of them the authors chose to speak of personal
meetings with Lotfi; in others, they discussed how certain papers
of Zadeh were able to open for them a new research horizon. Some
contributions documented results obtained from the author/s after
taking inspiration from a particular idea of Zadeh, thus implicitly
acknowledging him. Finally, there are contributions of several
"third generation fuzzysists or softies" who were firstly led into
the world of Fuzziness by a disciple of Lotfi Zadeh, who, following
his example, took care of opening for them a new road in science.
Rudolf Seising is Adjoint Researcher at the European Centre for
Soft Computing in Mieres, Asturias (Spain). Enric Trillas and
Claudio Moraga are Emeritus Researchers at the European Centre for
Soft Computing, Mieres, Asturias (Spain). Settimo Termini is
Professor of Theoretical Computer Science at the University of
Palermo, Italy and Affiliated Researcher at the European Centre for
Soft Computing, Mieres, Asturias (Spain)
The unexpected and premature passing away of Professor Ebrahim H.
"Abe" Mamdani on January, 22, 2010, was a big shock to the
scientific community, to all his friends and colleagues around the
world, and to his close relatives. Professor Mamdani was a
remarkable figure in the academic world, as he contributed to so
many areas of science and technology. Of great relevance are his
latest thoughts and ideas on the study of language and its handling
by computers. The fuzzy logic community is particularly indebted to
Abe Mamdani (1941-2010) who, in 1975, in his famous paper An
Experiment in Linguistic Synthesis with a Fuzzy Logic Controller,
jointly written with his student Sedrak Assilian, introduced the
novel idea of fuzzy control. This was an elegant engineering
approach to the modeling and control of complex processes for which
mathematical models were unknown or too difficult to build, yet
they could effectively and efficiently be controlled by human
operators. This ground-breaking idea has found innumerable
applications and can be considered as one of the main factors for
the proliferation and adoption of fuzzy logic technology. Professor
Mamdani's own life and vital experience are illustrative of his
"never surrendering" attitude while facing adversaries, which is
normal for a person proposing any novel solution, and represent a
great example for everybody. His subtle sense of humor, his joy for
life, and his will to critically help people, especially young
people, were characteristics deeply appreciated by all the people
who enjoyed and benefited from his friendship and advice. This book
constitutes a posthumous homage to Abe Mamdani. It is a collection
of original papers related in some way to his works, ideas and
vision, and especially written by researchers directly acquainted
with him or with his work. The underlying goal of this book will be
fulfilled if, in the very spirit of Mamdani's legacy, the papers
will trigger a scientific or philosophical debate on the issues
covered, or contribute to a cross-fertilization of ideas in the
various fields.
This book furthers the historical and technical debate by looking
at reasoning as the action of language when it is devoted to
explaining or foretelling, based on the authors' centennial
combined experience in fuzzy logic. A simple logical model mixing
abductions and deductions is introduced in order to attain
speculations, conjectures that may be responsible for induction,
and creativity in reasoning. A central point and a dire hypothesis
of the book are that such process can be implemented by computation
and as such can lead to a new approach to automatic thinking and
reasoning. On top of the technical approach, the relationship
between reasoning and thinking is also analyzed trying to establish
links with notions and concepts of thinkers from the European
Middle Age to the current days. This book is recommended to young
researchers that are interested in either the scientific or
philosophical aspects of computational thinking, and can further
the debate between the two approaches.
The notion of Fuzziness stands as one of the really new concepts
that have recently enriched the world of Science. Science grows not
only through technical and formal advances on one side and useful
applications on the other side, but also as consequence of the
introduction and assimilation of new concepts in its corpus. These,
in turn, produce new developments and applications. And this is
what Fuzziness, one of the few new concepts arisen in the XX
Century, has been doing so far. This book aims at paying homage to
Professor Lotfi A. Zadeh, the "father of fuzzy logic" and also at
giving credit to his exceptional work and personality. In a way,
this is reflected in the variety of contributions collected in the
book. In some of them the authors chose to speak of personal
meetings with Lotfi; in others, they discussed how certain papers
of Zadeh were able to open for them a new research horizon. Some
contributions documented results obtained from the author/s after
taking inspiration from a particular idea of Zadeh, thus implicitly
acknowledging him. Finally, there are contributions of several
"third generation fuzzysists or softies" who were firstly led into
the world of Fuzziness by a disciple of Lotfi Zadeh, who, following
his example, took care of opening for them a new road in science.
Rudolf Seising is Adjoint Researcher at the European Centre for
Soft Computing in Mieres, Asturias (Spain). Enric Trillas and
Claudio Moraga are Emeritus Researchers at the European Centre for
Soft Computing, Mieres, Asturias (Spain). Settimo Termini is
Professor of Theoretical Computer Science at the University of
Palermo, Italy and Affiliated Researcher at the European Centre for
Soft Computing, Mieres, Asturias (Spain)
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