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Logical Algebraic Analytic And Probabilistic Aspects Of Triangular Norms

Author: Erich Peter Klement
Publisher: Elsevier
ISBN: 9780080459530
Size: 62.96 MB
Format: PDF, Mobi
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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

On Logical Algebraic And Probabilistic Aspects Of Fuzzy Set Theory

Author: Susanne Saminger-Platz
Publisher: Springer
ISBN: 3319288083
Size: 54.26 MB
Format: PDF
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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.

Logic Language Information And Computation

Author: Wilfrid Hodges
Publisher: Springer
ISBN: 3540699376
Size: 20.83 MB
Format: PDF, Docs
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008. The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully reviewed and selected from numerous submissions. The papers cover all pertinent subjects in computer science with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Psychologische Tests Und Mehrwertige Logik

Author: Matthias Buntins
Publisher: Springer-Verlag
ISBN: 3658055073
Size: 66.42 MB
Format: PDF, ePub
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​Matthias Buntins befasst sich mit der Entwicklung eines testtheoretischen Ansatzes, welcher ohne das Konzept der Messung auskommt. Das wesentliche Ergebnis ist eine rationale Rekonstruktion des Testvorgangs als logische Inferenz: Testergebnisse werden nicht als Messwerte interpretiert, sondern als das Ausmaß, in welchem abstrakte Eigenschaftsbegriffe auf bestimmte Personen zutreffen. Durch die konsequente Verwendung formaler (insbesondere mehrwertiger) Schlusssysteme eröffnet der Ansatz neue Lösungen für bestehende testtheoretische Probleme und liefert zugleich konkrete Implikationen für die Praxis der Testkonstruktion und Testauswertung.​