Result: Characterizing the result of the division of fuzzy relations

Title:
Characterizing the result of the division of fuzzy relations
Authors:
BOSC, P, PIVERT, O, ROCACHER, D
Source:
North American Fuzzy Information Processing Society Annual Conference NAFIPS’2005, June 22-25, Ann Arbor, MIInternational journal of approximate reasoning. 45(3):511-530
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Logiciel, Software, Organisation des mémoires. Traitement des données, Memory organisation. Data processing, Systèmes d'information. Bases de données, Information systems. Data bases, Intelligence artificielle, Artificial intelligence, Apprentissage et systèmes adaptatifs, Learning and adaptive systems, Algèbre relationnelle, Relational algebra, Algebra relacional, Base donnée relationnelle, Relational database, Base relacional dato, Base donnée, Database, Base dato, Intelligence artificielle, Artificial intelligence, Inteligencia artificial, Interrogation base donnée, Database query, Interrogación base datos, Logique booléenne, Boolean logic, Lógica booleana, Logique floue, Fuzzy logic, Lógica difusa, Préférence, Preference, Preferencia, Relation floue, Fuzzy relation, Relación difusa, Databases, Division operation, Flexible queries, Fuzzy implications, Fuzzy relations, Quotient, Relational model
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
IRISA-ENSSAT, Université de Rennes 1, BP 80518, 22305 Lannion, France
ISSN:
0888-613X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18997627
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.18997627
Database:
PASCAL Archive

Further Information

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.