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What is Proximity Relation

Chapter 6
Handbook of Research on Fuzzy Information Processing in Databases
Binary relation expressing the extent to which two values are approximately equal.
Published in Chapter:
On the Versatility of Fuzzy Sets for Modeling Flexible Queries
P Bosc (IRISA / ENSSAT – Université de Rennes 1, France), A Hadjali (IRISA / ENSSAT – Université de Rennes 1, France), and O Pivert (IRISA / ENSSAT – Université de Rennes 1, France)
Copyright: © 2008 |Pages: 24
DOI: 10.4018/978-1-59904-853-6.ch006
Abstract
The idea of extending the usual Boolean queries with preferences has become a hot topic in the database community. One of the advantages of this approach is to deliver discriminated answers rather than flat sets of elements. Fuzzy sets are a natural means to represent preferences, and many works have been undertaken to define queries where fuzzy predicates can be introduced inside user queries. The objective of this chapter is to illustrate the expressiveness of fuzzy sets with the division operator in the context of regular databases. Like other operators, the regular division is not flexible at all and small variations in the data may lead to totally different results. To counter this behavior, a variety of extended division operators founded on fuzzy sets are suggested. All of them obey a double requirement: to have a clear meaning from a user point of view and to deliver a resulting relation which is a quotient.
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