Fuzzy real numbers as Dedekind cuts with respect to a multiple-valued logic
Fuzzy Sets and Systems - Fuzzy Numbers
Measuring properties of fuzzy sets: a general technique and its use in fuzzy query evaluation
Fuzzy Sets and Systems - On fuzzy information and database 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
Fuzzy Sets and Systems
Questions of cardinality of finite fuzzy sets
Fuzzy Sets and Systems
A probabilistic definition of a nonconvex fuzzy cardinality
Fuzzy Sets and Systems
A Multi-Set Extended Relational Algebra - A Formal Approach to a Practical Issue
Proceedings of the Tenth International Conference on Data Engineering
Algebraic Properties of Bag Data Types
VLDB '91 Proceedings of the 17th International Conference on Very Large Data Bases
On Multisets in Database Systems
WMP '00 Proceedings of the Workshop on Multiset Processing: Multiset Processing, Mathematical, Computer Science, and Molecular Computing Points of View
Fuzzy Multisets and Their Generalizations
WMP '00 Proceedings of the Workshop on Multiset Processing: Multiset Processing, Mathematical, Computer Science, and Molecular Computing Points of View
An axiomatic approach to fuzzy cardinalities of finite fuzzy sets
Fuzzy Sets and Systems - Theme: Basic notions
About zf, the set of fuzzy relative integers, and the definition of fuzzy bags on zf
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
On a characterization of fuzzy bags
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
SQLf: a relational database language for fuzzy querying
IEEE Transactions on Fuzzy Systems
Bottom-Up Extraction and Trust-Based Refinement of Ontology Metadata
IEEE Transactions on Knowledge and Data Engineering
On the cardinalities of interval-valued fuzzy sets
Fuzzy Sets and Systems
Database design and querying within the fuzzy semantic model
Information Sciences: an International Journal
Relations and functions in multiset context
Information Sciences: an International Journal
Fuzzy Sets and Systems
Extension of discrete t-norms and t-conorms to discrete fuzzy numbers
Fuzzy Sets and Systems
Detecting is-a and part-of relations in heterogeneous data flow
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part I
Evolutionary ANNs for improving accuracy and efficiency in document classification methods
KES'06 Proceedings of the 10th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part III
RL-bags: A conceptual, level-based approach to fuzzy bags
Fuzzy Sets and Systems
On the representation of cardinalities of interval-valued fuzzy sets: The valuation property
Fuzzy Sets and Systems
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A fuzzy bag is a bag in which each occurrence of an element is associated with a grade of membership. This notion can be viewed as a generalization of the concepts of set, fuzzy set and bag. The set of fuzzy integers (N"f) provides a general characterization in which all these different concepts are treated in a uniform way and can then be composed. In the field of databases, the use of fuzzy bags is motivated by their ability to manage both quantities and preferences. However, N"f becomes too restricted a framework when dealing with queries based on difference or division operations. So, a more general structure based on the set of fuzzy relative integers (Z"f) in which exact differences can be performed, has been first developed. In this paper, we carry on with this approach and we extend Z"f to the set of fuzzy rational numbers (Q"f). This context leads to define a closed system of multiplicative operations and allows to perform exact divisions. Applied to flexible querying of databases, Q"f and the notion of division on fuzzy numbers allow to generalize the relational division. They define a sound basis for queries involving ratios between quantities.