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On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

  • Susanne Saminger-Platz
  • Radko Mesiar

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 336)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Enric Trillas
    Pages 13-22
  3. Daniele Mundici
    Pages 57-70
  4. Francesc Esteva, Lluís Godo
    Pages 71-82
  5. Thomas Vetterlein, Milan Petrík
    Pages 83-108
  6. Andrea Mesiarová-Zemánková
    Pages 109-135
  7. Humberto Bustince, Edurne Barrenechea, Miguel Pagola, Javier Fernandez
    Pages 137-156
  8. Fabrizio Durante, Elisa Perrone
    Pages 157-172
  9. Anna Kolesárová, Andrea Stupňanová
    Pages 181-198
  10. Michel Grabisch
    Pages 215-231
  11. Back Matter
    Pages 275-275

About this book

Introduction

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.

Keywords

T-norm Based Logic Lattice Ordered Monoids Fuzzy Power Sets Left Modules on Unital Quantales Logic of Continuous t-norms Rational Polyhedral MV-algebras Commutative Tomonoids Almost Continuous Uninorms Aggregation Functions Multivalued Functions Representing Uncertainty Linz Seminars on Fuzzy Set Theory Fuzzy Logic Erich Peter Klement

Editors and affiliations

  • Susanne Saminger-Platz
    • 1
  • Radko Mesiar
    • 2
  1. 1.Dept of Knowledge-Based Math. SystemsJohannes Kepler University LinzLinzAustria
  2. 2.Dept. of Mathematics & Descriptive Geo.Slovak University of TechnologyBRATISLAVASlovakia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-28808-6
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-28807-9
  • Online ISBN 978-3-319-28808-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site