Paper Info
Title
F-transform in View of Aggregation Functions
Abstract
A relationship between the discrete F-transform and aggregation functions is analyzed. We show that the discrete F-transform (direct or inverse) can be associated with a set of linear aggregation functions that respect a fuzzy partition of a universe. On the other side, we discover conditions that should be added to a set of linear aggregation functions in order to obtain the discrete F-transform. Last but not least, the relationship between two analyzed notions is based on a new (generalized) definition of a fuzzy partition without the Ruspini condition.
Year
DOI
Venue
2013
10.1007/978-3-642-39165-1_37
AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE
Field
DocType
Volume
Inverse,Applied mathematics,Fuzzy partition,Mathematical optimization,Computer science,Universe
Conference
228
ISSN
Citations 
PageRank 
2194-5357
2
0.42
References 
Authors
4
2
Name
Order
Citations
PageRank
Irina Perfilieva11180107.60
Vladik Kreinovich21091281.07