Weighted minimum and maximun operations in fuzzy sets theory
Information Sciences: an International Journal
Database queries with fuzzy linguistic quantifiers
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy relational algebra for possibility-distribution-fuzzy-relational model of fuzzy data
Journal of Intelligent Information Systems
Semantics of quotient operators in fuzzy relational databases
Fuzzy Sets and Systems
Flexible queries in relational databases—the example of the division operator
Selected papers from the international workshop on Uncertainty in databases and deductive systems
Beyond min aggregation in multicriteria decision: (ordered) weighted min, discri-min, leximin
The ordered weighted averaging operators
An overview of fuzzy quantifiers. (I). Interpretations
Fuzzy Sets and Systems
A relational model of data for large shared data banks
Communications of the ACM
SQLf: a relational database language for fuzzy querying
IEEE Transactions on Fuzzy Systems
On a Parameterized Antidivision Operator for Database Flexible Querying
DEXA '08 Proceedings of the 19th international conference on Database and Expert Systems Applications
A Family of Tolerant Antidivision Operators for Database Fuzzy Querying
SUM '08 Proceedings of the 2nd international conference on Scalable Uncertainty Management
Stratified division queries involving ordinal user preferences
Proceedings of the 2009 ACM symposium on Applied Computing
Tolerant division queries and possibilistic database querying
Fuzzy Sets and Systems
Anti-division Queries with Ordinal Layered Preferences
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
On Three Classes of Division Queries Involving Ordinal Preferences
ISMIS '09 Proceedings of the 18th International Symposium on Foundations of Intelligent Systems
About Bipolar Division Operators
FQAS '09 Proceedings of the 8th International Conference on Flexible Query Answering Systems
Strict and tolerant antidivision queries with ordinal layered preferences
International Journal of Approximate Reasoning
On three classes of division queries involving ordinal preferences
Journal of Intelligent Information Systems
An approach to solve division-like queries in fuzzy object databases
Fuzzy Sets and Systems
On a fuzzy bipolar relational algebra
Information Sciences: an International Journal
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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.