Theory and Applications of Relational Structures as Knowledge Instruments II: International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers, Volume 2

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Harrie de Swart, Ewa Orlowska, Gunther Schmidt, Marc Roubens
Springer Science & Business Media, Dec 15, 2006 - Computers - 371 pages
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.
 

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Contents

Social Software for Coalition Formation
1
Investigating Finite Models of Nonclassical Logics with Relation Algebra and RelView
31
On the Logic of Medical Decision Support
50
Generalizing and Modifying the HoedeBakker Index
60
Relational Presentation of Nonclassical Logics
89
Relational Approach to OrderofMagnitude Reasoning
105
Relational Logics and Their Applications
125
An Algebraic Approach Based on Residuated Lattices
162
General Representation Theorems for Fuzzy Weak Orders
229
A Survey
245
LatticeBased Relation Algebras II
267
Some Aspects of Lattice and Generalized Prelattice Effect Algebras
290
A Decision Procedure for Monotone Functions over Bounded and Complete Lattices
318
The Dominance Relation on the Class of Continuous TNorms from an Ordinal Sum Point of View
334
Aggregation on Bipolar Scales
355
Author Index
372

Aggregation of Fuzzy Relations and Preservation of Transitivity
185
Flexible Query Answering Using DistanceBased Fuzzy Relations
207

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