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

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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This book constitutes the major results of the EU COST (European Cooperation in the field of Scientific and Technical Research) Action 274: TARSKI - Theory and Applications of Relational Structures as Knowledge Instruments - running from July 2002 to June 2005.

The 17 revised full papers were carefully reviewed and selected for presentation. The papers are devoted to further understanding of interdisciplinary issues involving relational reasoning by addressing relational structures and the use of relational methods in applicable object domains. These domains include non-classical logics, multimodal logics and relational logics, binary relation logic, algebraic logic, fuzzy preference relations, lattices, dominance relationship, extending aggregation operators, and various applications.

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This book constitutes the major results of the EU COST (European Cooperation in the field of Scientific and Technical Research) Action 274: TARSKI - Theory and Applications of Relational Structures as Knowledge Instruments - running from July 2002 to June 2005.

The 17 revised full papers were carefully reviewed and selected for presentation. The papers are devoted to further understanding of interdisciplinary issues involving relational reasoning by addressing relational structures and the use of relational methods in applicable object domains. These domains include non-classical logics, multimodal logics and relational logics, binary relation logic, algebraic logic, fuzzy preference relations, lattices, dominance relationship, extending aggregation operators, and various applications.

Content:
Front Matter....Pages -
Social Software for Coalition Formation....Pages 1-30
Investigating Finite Models of Non-classical Logics with Relation Algebra and RelView ....Pages 31-49
On the Logic of Medical Decision Support....Pages 50-59
Generalizing and Modifying the Hoede-Bakker Index....Pages 60-88
An Environment for Specifying Properties of Dyadic Relations and Reasoning About Them II: Relational Presentation of Non-classical Logics....Pages 89-104
Relational Approach to Order-of-Magnitude Reasoning....Pages 105-124
Relational Logics and Their Applications....Pages 125-161
Fuzzy Information Relations and Operators: An Algebraic Approach Based on Residuated Lattices....Pages 162-184
Aggregation of Fuzzy Relations and Preservation of Transitivity....Pages 185-206
Flexible Query Answering Using Distance-Based Fuzzy Relations....Pages 207-228
General Representation Theorems for Fuzzy Weak Orders....Pages 229-244
Relational Representation Theorems for Lattices with Negations: A Survey....Pages 245-266
Lattice-Based Relation Algebras II....Pages 267-289
Some Aspects of Lattice and Generalized Prelattice Effect Algebras....Pages 290-317
A Decision Procedure for Monotone Functions over Bounded and Complete Lattices....Pages 318-333
The Dominance Relation on the Class of Continuous T-Norms from an Ordinal Sum Point of View....Pages 334-354
Aggregation on Bipolar Scales....Pages 355-371
Back Matter....Pages -

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This book constitutes the major results of the EU COST (European Cooperation in the field of Scientific and Technical Research) Action 274: TARSKI - Theory and Applications of Relational Structures as Knowledge Instruments - running from July 2002 to June 2005.

The 17 revised full papers were carefully reviewed and selected for presentation. The papers are devoted to further understanding of interdisciplinary issues involving relational reasoning by addressing relational structures and the use of relational methods in applicable object domains. These domains include non-classical logics, multimodal logics and relational logics, binary relation logic, algebraic logic, fuzzy preference relations, lattices, dominance relationship, extending aggregation operators, and various applications.

Content:
Front Matter....Pages -
Social Software for Coalition Formation....Pages 1-30
Investigating Finite Models of Non-classical Logics with Relation Algebra and RelView ....Pages 31-49
On the Logic of Medical Decision Support....Pages 50-59
Generalizing and Modifying the Hoede-Bakker Index....Pages 60-88
An Environment for Specifying Properties of Dyadic Relations and Reasoning About Them II: Relational Presentation of Non-classical Logics....Pages 89-104
Relational Approach to Order-of-Magnitude Reasoning....Pages 105-124
Relational Logics and Their Applications....Pages 125-161
Fuzzy Information Relations and Operators: An Algebraic Approach Based on Residuated Lattices....Pages 162-184
Aggregation of Fuzzy Relations and Preservation of Transitivity....Pages 185-206
Flexible Query Answering Using Distance-Based Fuzzy Relations....Pages 207-228
General Representation Theorems for Fuzzy Weak Orders....Pages 229-244
Relational Representation Theorems for Lattices with Negations: A Survey....Pages 245-266
Lattice-Based Relation Algebras II....Pages 267-289
Some Aspects of Lattice and Generalized Prelattice Effect Algebras....Pages 290-317
A Decision Procedure for Monotone Functions over Bounded and Complete Lattices....Pages 318-333
The Dominance Relation on the Class of Continuous T-Norms from an Ordinal Sum Point of View....Pages 334-354
Aggregation on Bipolar Scales....Pages 355-371
Back Matter....Pages -
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