Title
A Relational Division Based On A Fuzzy Bipolar R-Implication Operator
Abstract
We introduce in this paper a new relational division operator based on a bipolar implication operator involving fuzzy bipolar relations. The considered bipolarity encompasses two kinds of bipolar conditions: the former is of type "and if possible", and the latter is of type "or else". This new division operator allows as to express a division of bipolar relations regardless of the nature of the dividend and the divisor (Boolean, fuzzy, bipolar, homogeneous, heterogeneous). We have also shown that the proposed relational division operator satisfies the bipolar quotient properties and can be an alternative to the already proposed operator in [1]-[3] which is based on the quantities involved in the division operation. The new proposed operator is aimed to be integrated into the bipolar SQLf language for flexible querying of relational databases.
Year
DOI
Venue
2013
10.1109/FUZZ-IEEE.2013.6622331
2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013)
Keywords
Field
DocType
Fuzzy Bipolar Conditions, Relational Division, Godel Fuzzy implication, Flexible Querying
Codd's theorem,Relational calculus,Relational database,Computer science,Fuzzy logic,Quotient,Theoretical computer science,Fuzzy set,Relational algebra,Operator (computer programming)
Conference
ISSN
Citations 
PageRank 
1098-7584
3
0.40
References 
Authors
14
3
Name
Order
Citations
PageRank
Nouredine Tamani18814.63
Ludovic Lietard212815.69
Daniel Rocacher313918.61