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
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
Strict and tolerant antidivision queries with ordinal layered preferences
International Journal of Approximate Reasoning
An approach to solve division-like queries in fuzzy object databases
Fuzzy Sets and Systems
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The role and properties of the division operator are well known in the framework of queries addressed to regular relational databases. However, Boolean queries may turn out to be too restrictive to answer some user needs and it is desirable to consider extended queries by introducing preferences inside selection conditions. In this paper, the extension of the division operator is investigated in the context of graded relations, i.e., whose tuples are weighted. Several interpretations of the division are possible and they mainly depend on the roles of the grades attached to tuples of input relations. Their properties are examined in the perspective of a characterization of the result obtained as a quotient, similarly to that obtained for the division of two integers.