Paper Info
Title
About quotient and division of crisp and fuzzy relations
Abstract
The role and properties of the division are very well known in the context of queries addressed to regular relational databases. However, Boolean queries whose result is expressed in terms of all or nothing may turn out to be too limited to answer certain user needs and it is desirable to envisage extended queries by introducing preferences in the conditions. In this paper, two lines of extension of the division operator are studied: (i) operand relations of the division are fuzzy relations (i.e., they are made of weighted tuples) and (ii) the universal quantifier underlying the division is weakened. Various approaches to these extensions can be considered and one of our goals is to point out those which ensure that the resulting relation is a quotient (in reference to the characterization of the quotient of two integers). So doing, a sound semantics for the extended division is guaranteed.
Year
DOI
Venue
2007
10.1007/s10844-006-0012-1
J. Intell. Inf. Syst.
Keywords
Field
DocType
Relational databases,Preferences,Flexible queries,Fuzzy sets,Division of relations,Fuzzy quantifier
Computer science,Fuzzy set operations,Tuple,Quotient,Fuzzy logic,Theoretical computer science,Fuzzy set,Relational algebra,Type-2 fuzzy sets and systems,Fuzzy number
Journal
Volume
Issue
ISSN
29
2
0925-9902
Citations 
PageRank 
References 
18
1.01
11
Authors
3
Name
Order
Citations
PageRank
P. Bosc140125.31
O. Pivert21198.86
Daniel Rocacher313918.61