Petr H Jek On Mathematical Fuzzy Logic


Petr H Jek On Mathematical Fuzzy Logic
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Petr H Jek On Mathematical Fuzzy Logic


Petr H Jek On Mathematical Fuzzy Logic
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Author : Franco Montagna
language : en
Publisher: Springer
Release Date : 2014-09-23

Petr H Jek On Mathematical Fuzzy Logic written by Franco Montagna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-23 with Mathematics categories.


This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.



Petr H Jek On Mathematical Fuzzy Logic


Petr H Jek On Mathematical Fuzzy Logic
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Author : Franco Montagna
language : en
Publisher:
Release Date : 2015

Petr H Jek On Mathematical Fuzzy Logic written by Franco Montagna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Electronic books categories.




Metamathematics Of Fuzzy Logic


Metamathematics Of Fuzzy Logic
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Author : Petr Hájek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Metamathematics Of Fuzzy Logic written by Petr Hájek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Philosophy categories.


This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named ‘fuzzy inference’ can be naturally understood as logical deduction. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.



Uncertainty Modeling In Knowledge Engineering And Decision Making Proceedings Of The 10th International Flins Conference


Uncertainty Modeling In Knowledge Engineering And Decision Making Proceedings Of The 10th International Flins Conference
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Author : Cengiz Kahraman
language : en
Publisher: World Scientific
Release Date : 2012-08-10

Uncertainty Modeling In Knowledge Engineering And Decision Making Proceedings Of The 10th International Flins Conference written by Cengiz Kahraman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-10 with Computers categories.


FLINS, originally an acronym for Fuzzy Logic and Intelligent Technologies in Nuclear Science, is now extended to Computational Intelligence for applied research. The contributions to the 10th of FLINS conference cover state-of-the-art research, development, and technology for computational intelligence systems, both from the foundations and the applications points-of-view.



On Logical Algebraic And Probabilistic Aspects Of Fuzzy Set Theory


On Logical Algebraic And Probabilistic Aspects Of Fuzzy Set Theory
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Author : Susanne Saminger-Platz
language : en
Publisher: Springer
Release Date : 2016-01-11

On Logical Algebraic And Probabilistic Aspects Of Fuzzy Set Theory written by Susanne Saminger-Platz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-11 with Technology & Engineering categories.


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.



Fuzzy Sets Logics And Reasoning About Knowledge


Fuzzy Sets Logics And Reasoning About Knowledge
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Author : Didier Dubois
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Fuzzy Sets Logics And Reasoning About Knowledge written by Didier Dubois and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.


Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.



Fuzzy Sets And Fuzzy Logic


Fuzzy Sets And Fuzzy Logic
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Author : George J. Klir
language : en
Publisher: Prentice Hall
Release Date : 1995

Fuzzy Sets And Fuzzy Logic written by George J. Klir and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.


No previous knowledge of fuzzy set theory and fuzzy logic is required for understanding the material covered in the book. Although knowledge of basic ideas of classical (nonfuzzy) set theory and classical (two-valued) logic is useful, fundamentals of these subject areas are briefly overviewed in the book. In addition, basic ideas of neural networks, genetic algorithms, and rough sets are also explained. This makes the book virtually self-contained.



Fuzzy Logic


Fuzzy Logic
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Author : Robert Lowen
language : en
Publisher: Kluwer Academic Print on Demand
Release Date : 1993

Fuzzy Logic written by Robert Lowen and has been published by Kluwer Academic Print on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Business & Economics categories.


Fuzzy Logic: State of the Art covers a wide range of both theory and applications of fuzzy sets, ranging from mathematical basics, through artificial intelligence, computer management and systems science to engineering applications. Fuzzy Logic will be of interest to researchers working in fuzzy set theory and its applications.



Fuzzy Sets And Fuzzy Logic


Fuzzy Sets And Fuzzy Logic
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Author : Siegfried Gottwald
language : de
Publisher:
Release Date : 1993

Fuzzy Sets And Fuzzy Logic written by Siegfried Gottwald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Handbook Of Mathematical Fuzzy Logic


Handbook Of Mathematical Fuzzy Logic
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Author : Petr Cintula
language : en
Publisher:
Release Date : 2015-12-31

Handbook Of Mathematical Fuzzy Logic 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 2015-12-31 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 handbook provides, through its several volumes, an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, that may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. This handbook will be useful not only for readers interested in pure mathematical logic, but also for those 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. This third volume starts with three chapters on semantics of fuzzy logics, namely, on the structure of linearly ordered algebras, on semantic games, and on Ulam-Renyi games; it continues with an introduction to fuzzy logics with evaluated syntax, a survey of fuzzy description logics, and a study of probability on MV-algebras; and it ends with a philosophical chapter on the role of fuzzy logics in theories of vagueness."