Goguen Categories

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Publisher : Springer Science & Business Media
ISBN 13 : 1402061641
Total Pages : 217 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Goguen Categories by : Michael Winter

Download or read book Goguen Categories written by Michael Winter and published by Springer Science & Business Media. This book was released on 2007-08-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices, this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither theory is sufficiently rich to describe basic operations on fuzzy relations.

Categories for Software Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 354026891X
Total Pages : 255 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Categories for Software Engineering by : Jose Luiz Fiadeiro

Download or read book Categories for Software Engineering written by Jose Luiz Fiadeiro and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates how category theory can be used for formal software development. The mathematical toolbox for the Software Engineering in the new age of complex interactive systems.

Foundations of Algebraic Specification and Formal Software Development

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Publisher : Springer Science & Business Media
ISBN 13 : 3642173365
Total Pages : 594 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Foundations of Algebraic Specification and Formal Software Development by : Donald Sannella

Download or read book Foundations of Algebraic Specification and Formal Software Development written by Donald Sannella and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides foundations for software specification and formal software development from the perspective of work on algebraic specification, concentrating on developing basic concepts and studying their fundamental properties. These foundations are built on a solid mathematical basis, using elements of universal algebra, category theory and logic, and this mathematical toolbox provides a convenient language for precisely formulating the concepts involved in software specification and development. Once formally defined, these notions become subject to mathematical investigation, and this interplay between mathematics and software engineering yields results that are mathematically interesting, conceptually revealing, and practically useful. The theory presented by the authors has its origins in work on algebraic specifications that started in the early 1970s, and their treatment is comprehensive. This book contains five kinds of material: the requisite mathematical foundations; traditional algebraic specifications; elements of the theory of institutions; formal specification and development; and proof methods. While the book is self-contained, mathematical maturity and familiarity with the problems of software engineering is required; and in the examples that directly relate to programming, the authors assume acquaintance with the concepts of functional programming. The book will be of value to researchers and advanced graduate students in the areas of programming and theoretical computer science.

Canadian Mathematical Bulletin

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Mathematical Bulletin by :

Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1986-12 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relational and Algebraic Methods in Computer Science

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Publisher : Springer Science & Business Media
ISBN 13 : 3642210694
Total Pages : 370 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Relational and Algebraic Methods in Computer Science by : Harrie de Swart

Download or read book Relational and Algebraic Methods in Computer Science written by Harrie de Swart and published by Springer Science & Business Media. This book was released on 2011-05-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.

Theoretical Aspects of Computing – ICTAC 2014

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Publisher : Springer
ISBN 13 : 3319108824
Total Pages : 493 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Theoretical Aspects of Computing – ICTAC 2014 by : Gabriel Ciobanu

Download or read book Theoretical Aspects of Computing – ICTAC 2014 written by Gabriel Ciobanu and published by Springer. This book was released on 2014-09-11 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Colloquium on Theoretical Aspects of Computing, ICTAC 2014 held in Bucharest, Romania, in September 2014. The 25 revised full papers presented together with three invited talks were carefully reviewed and selected from 74 submissions. The papers cover various topics such as automata theory and formal languages; principles and semantics of programming languages; theories of concurrency, mobility and reconfiguration; logics and their applications; software architectures and their models, refinement and verification; relationship between software requirements, models and code; static and dynamic program analysis and verification; software specification, refinement, verification and testing; model checking and theorem proving; models of object and component systems; coordination and feature interaction; integration of theories, formal methods and tools for engineering computing systems; service-oriented architectures: models and development methods; models of concurrency, security, and mobility; theories of distributed, grid and cloud computing; real-time, embedded, hybrid and cyber-physical systems; type and category theory in computer science; models for e-learning and education; case studies, theories, tools and experiments of verified systems; domain-specific modeling and technology: examples, frameworks and practical experience; challenges and foundations in environmental modeling and monitoring, healthcare, and disaster management.

From Object-Orientation to Formal Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 354021366X
Total Pages : 398 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis From Object-Orientation to Formal Methods by : Stein Krogdahl

Download or read book From Object-Orientation to Formal Methods written by Stein Krogdahl and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of Ole-Johan Dahl who passed away in June 2002 at the age of 70, shortly after he had received, together with his colleague Kristen Nygaard, the ACM Alan M. Turing Award: "For ideas fundamental to the emergence of object-oriented programming, through their design of the programming languages Simula I and Simula 67." This Festschrift opens with a short biography and a bibliography recollecting Ole-Johan Dahl's life and work, as well as a paper he wrote entitled: "The Birth of Object-Orientation: the Simula Languages." The main part of the book consists of 14 scientific articles written by leading scientists who worked with Ole-Johan Dahl as students or colleagues. In accordance with the scope of Ole-Johan Dahl's work and the book's title, the articles are centered around object-orientation and formal methods.

The Fuzzification of Systems

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Publisher : Springer
ISBN 13 : 3540717951
Total Pages : 428 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Fuzzification of Systems by : Rudolf Seising

Download or read book The Fuzzification of Systems written by Rudolf Seising and published by Springer. This book was released on 2007-08-16 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, Fuzzy Set Theory is the core discipline of so-called ‘soft’ computing, and provides new impetus for research in the field of artificial intelligence. In this fascinating book, the history of Fuzzy Set Theory and the ways it was first used are incorporated into the history of 20th century science and technology. Influences from philosophy, system theory and cybernetics stemming from the earliest part of the 20th century are considered alongside those of communication and control theory from mid-century.

GABCOM & GABMET

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540936534
Total Pages : 724 pages
Book Rating : 4.9/5 (365 download)

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Book Synopsis GABCOM & GABMET by : Gmelin Institut

Download or read book GABCOM & GABMET written by Gmelin Institut and published by Springer Science & Business Media. This book was released on 1993-07-02 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature in chemistry and physics abounds with abbreviations of chemical compounds, physical methods and mathematical procedures. Unfortunately, many authors take it for granted that the reader knows the meaning of an abbreviation, something quite trivial for a specialist. For the less informed reader, these abbreviations thus present definite communication problems. The Gmelin Institute of Inorganic Chemistry of the Max Planck Society has collected more than 4000 abbreviations for methods and terms from chemistry, physics and mathematics and more than 4000 chemical compounds (mostly ligands in coordination chemistry and standard reagents for physical and analytical methods). GABCOM and GABMET provide an overview enabling readers and authors to check the definition of an abbreviation used by an author and to see whether this abbreviation is already being used for other purposes. GABCOM and GABMET are also in preparation in electronic form (data file and search software) for IBM-PC or compatible computers.

Non-Classical Logics and their Applications to Fuzzy Subsets

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Publisher : Springer Science & Business Media
ISBN 13 : 9401102155
Total Pages : 391 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Non-Classical Logics and their Applications to Fuzzy Subsets by : Ulrich Höhle

Download or read book Non-Classical Logics and their Applications to Fuzzy Subsets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets. This volume is indispensable for all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic and topos-like categories. The tutorial nature of the longer chapters, the comprehensive bibliography and index make it suitable as a valuable and important reference for graduate students as well as research workers in the field of non-classical logics. The book is arranged in three parts: Part A presents the most recent developments in the theory of Heyting algebras, MV-algebras, quantales and GL-monoids. Part B gives a coherent and current account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets of M-valued sets. Part C addresses general aspects of non-classical logics including epistemological problems as well as recursive properties of fuzzy logic.

Category Theory Applied to Computation and Control

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Publisher : Springer
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Category Theory Applied to Computation and Control by : Ernest G. Manes

Download or read book Category Theory Applied to Computation and Control written by Ernest G. Manes and published by Springer. This book was released on 1975 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the results of a symposium which brought together scientists interested in applying modern algebraic techniques to problems in control & computer science.

The Truth Value Algebra of Type-2 Fuzzy Sets

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Publisher : CRC Press
ISBN 13 : 1498735290
Total Pages : 251 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Truth Value Algebra of Type-2 Fuzzy Sets by : John Harding

Download or read book The Truth Value Algebra of Type-2 Fuzzy Sets written by John Harding and published by CRC Press. This book was released on 2016-03-30 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval explo

Relational Methods in Computer Science

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Publisher : Springer
ISBN 13 : 3540333401
Total Pages : 271 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Relational Methods in Computer Science by : Wendy MacCaull

Download or read book Relational Methods in Computer Science written by Wendy MacCaull and published by Springer. This book was released on 2006-07-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed joint postproceedings of the 8th International Seminar on Relational Methods in Computer Science, the 3rd International Workshop on Applications of Kleene Algebra, and the Workshop of COST Action 274. The 17 revised full papers presented together with 3 invited papers address foundational and methodological aspects of the calculi of relations and Kleene algebra, and their application in various areas of computer science and information processing.

The category of hesitant H-fuzzy sets

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis The category of hesitant H-fuzzy sets by : J. H. Kim

Download or read book The category of hesitant H-fuzzy sets written by J. H. Kim and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: We rede fine the hesitant fuzzy empty set, the hesitant fuzzy whole set, the intersection and the union of two hesitant fuzzy sets, and prove that the family HS(X) of all hesitant fuzzy sets in a set X is a Boolean algebra. Next, we introduce the category HSet(H) consisting of hesitant H-fuzzy spaces and preserving mappings between them and study the category HSet(H) in the sense of a topological universe and prove that it is Cartesian closed over Set (See Theorem 4.15), where Set denotes the category consisting of ordinary sets and ordinary mappings between them.

Concept Invention

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Publisher : Springer
ISBN 13 : 3319656023
Total Pages : 304 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Concept Invention by : Roberto Confalonieri

Download or read book Concept Invention written by Roberto Confalonieri and published by Springer. This book was released on 2018-10-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a computationally feasible, cognitively inspired formal model of concept invention, drawing on Fauconnier and Turner's theory of conceptual blending, a fundamental cognitive operation. The chapters present the mathematical and computational foundations of concept invention, discuss cognitive and social aspects, and further describe concrete implementations and applications in the fields of musical and mathematical creativity. Featuring contributions from leading researchers in formal systems, cognitive science, artificial intelligence, computational creativity, mathematical reasoning and cognitive musicology, the book will appeal to readers interested in how conceptual blending can be precisely characterized and implemented for the development of creative computational systems.

The category of neutrosophic crisp sets

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis The category of neutrosophic crisp sets by : K. Hur

Download or read book The category of neutrosophic crisp sets written by K. Hur and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the category NCSet consisting of neutrosophic crisp sets and morphisms between them. And we study NCSet in the sense of a topological universe and prove that it is Cartesian closed over Set, where Set denotes the category consisting of ordinary sets and ordinary mappings between them.

Relational and Algebraic Methods in Computer Science

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Publisher : Springer
ISBN 13 : 3642333141
Total Pages : 370 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Relational and Algebraic Methods in Computer Science by : Wolfram Kahl

Download or read book Relational and Algebraic Methods in Computer Science written by Wolfram Kahl and published by Springer. This book was released on 2012-09-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 13, held in Cambridge, UK, in September 2012. The 23 revised full papers presented were carefully selected from 39 submissions in the general area of relational and algebraic methods in computer science, adding special focus on formal methods for software engineering, logics of programs and links with neighboring disciplines. The papers are structured in specific fields on applications to software specification and correctness, mechanized reasoning in relational algebras, algebraic program derivation, theoretical foundations, relations and algorithms, and properties of specialized relations.