Fuzzy Preference Queries to Relational Dtabases:

ISBN-10: 1848168691
ISBN-13: 9781848168695
Edition: 2012
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Description: The manipulation of databases is an integral part of a world which is becoming increasingly and pervasively information- focused. This book puts forward a suggestion to advocate preference queries and fuzzy sets as a central concern in database  More...

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Book details

Copyright year: 2012
Publisher: World Scientific Pub Co Inc
Binding: Cloth Text 
Pages: 330
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.386
Language: English

The manipulation of databases is an integral part of a world which is becoming increasingly and pervasively information- focused. This book puts forward a suggestion to advocate preference queries and fuzzy sets as a central concern in database queries and offers an important contribution to the design of intelligent information systems. It provides a comprehensive study on fuzzy preference queries in the context of relational databases. Preference queries, a recent hot topic in database research, provide a basis for rank- ordering the items retrieved, which is especially valuable for large sets of answers. This book aims to show that fuzzy set theory constitutes a highly expressive framework for modeling preference queries. It presents a study of the algorithmic aspects related to the evaluation of such queries in order to demonstrate that this framework offers a good trade-off between expressivity and efficiency. Numerous examples and proofs are liberally and lucidly demonstrated throughout, and greatly enhance the detailed theoretical aspects explored in the book. Researchers working in databases will greatly benefit from this comprehensive and up-to-date study of fuzzy preference queries, and it will also become an invaluable reference point for postgraduate students interested in advanced database techniques.

Foreword
Acknowledgments
Introduction
Databases and their Evolution
Preferences and Fuzzy Sets
Overview of the Book
Reminders on Relational Databases
Basic Notions and Vocabulary
Algebraic Operations
Set operations
Relational operations
Properties
An Overview of SQL
The base block
Combining base blocks
Partitioning
Expressing division and antidivision
Basic Notions on Fuzzy Sets
Introduction
Definitions and Notations
Composition of Fuzzy Sets
Intersection and union of fuzzy sets
Difference between fuzzy sets
Cartesian product of fuzzy sets
Trade-off operators
Nonsymmetric operators
Inclusions and Implications
Fuzzy implications
Inclusions
Fuzzy Measures and Integrals
Introduction
Fuzzy measures
Fuzzy integrals
The Extension Principle
Fuzzy Quantified Propositions
Fuzzy linguistic quantifiers
Quantified propositions
Non-Fuzzy Approaches to Preference Queries: A Brief Overview
Introduction
Quantitative Approaches
Distances and similarity
Linguistic preferences
Explicit scores attached to entities
Top-k queries
Outranking
Qualitative Approaches
Secondary preference criterion
Pareto-order-based approaches
CP-nets
Domain linearization
Possibilistic-logic-based approach
Conclusion
Simple Fuzzy Queries
Introduction
An Extended Relational Algebra
An Overview of a Basic Version of SQLf
Introduction
The multiple relation base block
Subqueries
Set-oriented operators
Relation partitioning
Interface for User-Defined Terms and Operators
Contextual Queries
Queries with one level of context
Queries with several levels of context
Evaluation of Simple Fuzzy Queries
Derivation principle
Derivation-based processing of SQLf queries
Conclusion
Fuzzy Queries Involving Quantified Statements or Aggregates
Introduction
Quantified Statements
Introduction
Quantified statements and fuzzy integral theory
Interpretation of statements of the type "Q X are A"
Integration into SQLf
Evaluation of SQLf queries involving quantified statements
Aggregates
Introduction
The case of monotonic predicates and aggregates
Dealing with the general case
SQLf queries involving aggregates
Evaluation of SQLf queries involving aggregates
Conclusion
Division and Antidivision of Fuzzy Relations
Introduction
Division of Fuzzy Relations
Principles
On the choice of implication
Primitivity of the extended division operator
Expressing extended division in SQLf
Tolerant Division
Exception-based tolerant division
Resemblance-based tolerant division
Stratified Division
Introduction
The queries
Quotient property of the result delivered
Queries Mixing Division and Antidivision
Motivation
Mixed stratified queries
Evaluation of Division Queries
Processing the division of fuzzy relations
Processing the tolerant divisions of fuzzy relations
Processing the conjunctive stratified division
Conclusion
Bipolar Fuzzy Queries
Introduction
Preliminaries
About bipolarity
Extended Algebraic Operators
Intersection
Union
Cartesian product
Negation
Difference
Selection
Projection
Join
Division
Implementation Aspects
Conclusion
Fuzzy Group By
Introduction
An Extended Group By Clause
Use of a crisp partition
Use of a fuzzy partition
Having Clause
Inclusion constraint
Aggregate<sub>1</sub> � aggregate<sub>2</sub>
Aggregate is �
Application to Association Rule Mining
Rules of the type A is Li -> B is L
Rules of the type A is L -> B is L<sub>i</sub>
Evaluation of a Fuzzy Group By
Related Work
Extended group by
Fuzzy OLAP
Fuzzy database summarization techniques
Mining association rules with SQL
Conclusion
Empty and Plethoric Answers
Introduction
Empty Answer Problem
Query relaxation
Relaxation by predicate weakening
Case-based reasoning approach
Plethoric Answer Problem
Introduction
Approach based on predicate strengthening
Approach based on query expansion
Conclusion
Conclusion
Bibliography
Index

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