Theory and Applications of Relational Structures as Knowledge Instruments II

1. Front Matter

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2. Social Software for Coalition Formation

   • Agnieszka Rusinowska, Rudolf Berghammer, Patrik Eklund, Jan-Willem van der Rijt, Marc Roubens, Harrie de Swart

   Pages 1-30

3. Investigating Finite Models of Non-classical Logics with Relation Algebra and RelView

   • Rudolf Berghammer, Renate A. Schmidt

   Pages 31-49

4. On the Logic of Medical Decision Support

   • Patrik Eklund, Johan Karlsson, Jan Rauch, Milan Šimůnek

   Pages 50-59

5. Generalizing and Modifying the Hoede-Bakker Index

   • Agnieszka Rusinowska, Harrie de Swart

   Pages 60-88

6. An Environment for Specifying Properties of Dyadic Relations and Reasoning About Them II: Relational Presentation of Non-classical Logics

   • Andrea Formisano, Eugenio G. Omodeo, Ewa Orłowska

   Pages 89-104

7. Relational Approach to Order-of-Magnitude Reasoning

   • Alfredo Burrieza, Manuel Ojeda-Aciego, Ewa Orłowska

   Pages 105-124

8. Relational Logics and Their Applications

   • Joanna Golińska-Pilarek, Ewa Orłowska

   Pages 125-161

9. Fuzzy Information Relations and Operators: An Algebraic Approach Based on Residuated Lattices

   • Anna Maria Radzikowska, Etienne E. Kerre

   Pages 162-184

10. Aggregation of Fuzzy Relations and Preservation of Transitivity

    • Susanne Saminger, Ulrich Bodenhofer, Erich Peter Klement, Radko Mesiar

    Pages 185-206

11. Flexible Query Answering Using Distance-Based Fuzzy Relations

    • Ulrich Bodenhofer, Josef Küng, Susanne Saminger

    Pages 207-228

12. General Representation Theorems for Fuzzy Weak Orders

    • Ulrich Bodenhofer, Bernard De Baets, János Fodor

    Pages 229-244

13. Relational Representation Theorems for Lattices with Negations: A Survey

    • Wojciech Dzik, Ewa Orłowska, Clint van Alten

    Pages 245-266

14. Lattice-Based Relation Algebras II

    • Ivo Düntsch, Ewa Orłowska, Anna Maria Radzikowska

    Pages 267-289

15. Some Aspects of Lattice and Generalized Prelattice Effect Algebras

    • Zdenka Riečanová, Ivica Marinová, Michal Zajac

    Pages 290-317

16. A Decision Procedure for Monotone Functions over Bounded and Complete Lattices

    • Domenico Cantone, Calogero G. Zarba

    Pages 318-333

17. The Dominance Relation on the Class of Continuous T-Norms from an Ordinal Sum Point of View

    • Susanne Saminger, Peter Sarkoci, Bernard De Baets

    Pages 334-354

18. Aggregation on Bipolar Scales

    • Michel Grabisch

    Pages 355-371

19. Back Matter

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This book is a follow-up of LNCS volume 2929 with the same title, and presents the major results of COST action 274 (2002-2005), TARSKI: Theory and - plications of Relational Structures as Knowledge Instruments. Relational structures abound in the daily environment: relational databases, data-mining, scaling procedures, preference relations, etc. Reasoning about, and with, relations has a long-standing European tradition, which may be divided into three broad areas: 1. Algebraic Logic: algebras of relations, relational semantics, and algebras and logics derived from information systems. 2. Computational Aspects of Automated Relational Reasoning: decidability and complexity of algorithms, network satisfaction. 3. Applications: social choice, AI, linguistics, psychology, economics, etc. The main objective of the ?rst TARSKI book (LNCS 2929) was to advance the understanding of relational structures and the use of relational methods in applicable object domains. There were the following sub-objectives: 1. Tostudythesemanticalandsyntacticalaspectsofrelationalstructuresarising from ‘real world’ situations 2. To investigateautomatedinference for relationalsystems, and, wherepossible or feasible, develop deductive systems which can be implemented into industrial applications, such as diagnostic systems 3. To develop non-invasive scaling methods for predicting relational data 4. To make software for dealing with relational systems commonly available We are con?dent that the present book will further the understanding of int- disciplinary issues involving relational reasoning. This book consists of papers which give a clear and self-contained overview of the results obtained by the TARSKI action, typically obtained by di?erent persons from di?erent work - eas.

• Fuzzy
• algebraic logic
• data analysis
• formal languages
• formal methods
• fuzzy relations
• knowledge discovery
• knowledge processing
• lattices
• logic
• mathematical logics
• modal logics
• model checking
• multirelational data mining
• multirelations

• Faculty of Philosophy, Tilburg University, Tilburg, The Netherlands

  Harrie Swart

• National Institute of Telecommunications, Warsaw,  

  Ewa Orłowska

• Institute for Software Technology, Department of Computing Science, Universität der Bundeswehr München, Neubiberg, Germany

  Gunther Schmidt

• Faculté Polytechnique de Mons, Mons, Belgium

  Marc Roubens

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