Petr H Jek On Mathematical Fuzzy Logic

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On Fuzziness

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Author : Rudolf Seising
language : en
Publisher: Springer
Release Date : 2013-01-12

On Fuzziness written by Rudolf Seising and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-12 with Technology & Engineering categories.

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)

Handbook Of Mathematical Fuzzy Logic

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Author : Petr Cintula
language : en
Publisher: Studies in Logic
Release Date : 2011

Handbook Of Mathematical Fuzzy Logic written by Petr Cintula and has been published by Studies in Logic this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers. This two-volume handbook provides an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, who may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. Despite being located in the realm of pure mathematical logic, this handbook will also be useful for readers interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness. The first volume contains a gentle introduction to MFL, a presentation of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, fi nally, an algebraic study of Hájek's logic BL. The second volume is devoted to Lukasiewicz logic and MValgebras, Gödel-Dummett logic and its variants, fuzzy logics in expanded propositional languages, studies of functional representations for fuzzy logics and their free algebras, computational complexity of propositional logics, and arithmetical complexity of first-order logics.

Logic And Implication

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Author : Petr Cintula
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

Logic And Implication written by Petr Cintula and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Philosophy categories.

This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.

Handbook Of Mathematical Fuzzy Logic Volumes 1 And 2

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Author : Petr Cintula
language : en
Publisher:
Release Date : 2012

Handbook Of Mathematical Fuzzy Logic Volumes 1 And 2 written by Petr Cintula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers. This two-volume handbook provides an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, who may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. Despite being located in the realm of pure mathematical logic, this handbook will also be useful for readers interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness. The first volume contains a gentle introduction to MFL, a presentation of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, finally, an algebraic study of Hájek's logic BL. The second volume is devoted to Lukasiewicz logic and MValgebras, Gödel-Dummett logic and its variants, fuzzy logics in expanded propositional languages, studies of functional representations for fuzzy logics and their free algebras, computational complexity of propositional logics, and arithmetical complexity of first-order logics.

The Number Sense

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Author : Stanislas Dehaene
language : en
Publisher: OUP USA
Release Date : 2011-04-29

The Number Sense written by Stanislas Dehaene and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Mathematics categories.

"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"-- Provided by publisher.

Systems Archetype Basics

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Author : Daniel H. Kim
language : en
Publisher:
Release Date : 1998-01-01

Systems Archetype Basics written by Daniel H. Kim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Critical thinking categories.

Cybernetic Revelation

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Author : J.D. Casten
language : en
Publisher: Post Egoism Media
Release Date : 2012-11-20

Cybernetic Revelation written by J.D. Casten and has been published by Post Egoism Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-20 with Philosophy categories.

Cybernetic Revelation explores the dual philosophical histories of deconstruction and artificial intelligence, tracing the development of concepts like the "logos" and the notion of modeling the mind technologically from pre-history to contemporary thinkers like Slavoj Žižek, Steven Pinker, Bernard Stiegler and Daniel C. Dennett. The writing is clear and accessible throughout, yet the text probes deeply into major philosophers seen by JD Casten as "conceptual engineers." Philosophers covered include: Anaximander, Heraclitus, Parmenides, Plato, Aristotle, Philo, Augustine, Shakespeare, Descartes, Spinoza, Leibniz, Locke, Berkeley, Hume, Kant, Hegel, Nietzsche, Freud, Jung, Joyce, Dewey, Wittgenstein, Heidegger, Adorno, Benjamin, Derrida, Chomsky, Žižek, Pinker, Dennett, Hofstadter, Stiegler + more; with special chapters on: AI's history, Complexity, Deconstructing AI, Aesthetics, Consciousness + more...

Class

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Author : Paul Fussell
language : en
Publisher: Simon and Schuster
Release Date : 1992

Class written by Paul Fussell and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Social Science categories.

This book describes the living-room artifacts, clothing styles, and intellectual proclivities of American classes from top to bottom.

Einstein Vs Bergson

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Author : Alessandra Campo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-08

Einstein Vs Bergson written by Alessandra Campo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-08 with Philosophy categories.

This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time is derived by abstraction, even in the sense of extraction, from a more fundamental time. The plurality of times envisaged by the theory of Relativity does not, for him, contradict the philosophical intuition of the existence of a single time. But how do things stand today? What can we say about the relationship between the quantitative and qualitative dimensions of time in the light of contemporary science? What do quantum mechanics, biology and neuroscience teach us about the nature of time? The essays collected here take up the question that pitted Einstein against Bergson, science against philosophy, in an attempt to reverse the outcome of their monologue in two voices, with a multilogue in several voices.

Mastering Uncertainty In Mechanical Engineering

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Author : Peter F. Pelz
language : en
Publisher: Springer Nature
Release Date : 2021-10-11

Mastering Uncertainty In Mechanical Engineering written by Peter F. Pelz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-11 with Technology & Engineering categories.

This open access book reports on innovative methods, technologies and strategies for mastering uncertainty in technical systems. Despite the fact that current research on uncertainty is mainly focusing on uncertainty quantification and analysis, this book gives emphasis to innovative ways to master uncertainty in engineering design, production and product usage alike. It gathers authoritative contributions by more than 30 scientists reporting on years of research in the areas of engineering, applied mathematics and law, thus offering a timely, comprehensive and multidisciplinary account of theories and methods for quantifying data, model and structural uncertainty, and of fundamental strategies for mastering uncertainty. It covers key concepts such as robustness, flexibility and resilience in detail. All the described methods, technologies and strategies have been validated with the help of three technical systems, i.e. the Modular Active Spring-Damper System, the Active Air Spring and the 3D Servo Press, which have been in turn developed and tested during more than ten years of cooperative research. Overall, this book offers a timely, practice-oriented reference guide to graduate students, researchers and professionals dealing with uncertainty in the broad field of mechanical engineering.