Paper Info
Title
Defining Aggregation Functions from Negations
Abstract
In this paper a method of defining aggregation functions from fuzzy negations is introduced. Any aggregation function obtained from a fuzzy negation by this method is proved to be a commutative semicopula and some properties are investigated. In particular, it is proved that by this method some well known examples of copulas and t-norms can be obtained. Moreover, any commutative semicopula constructed by this method can be always obtained from a negation N which is symmetric with respect to the diagonal. Then, those fuzzy negations N for which the corresponding semicopula is a copula are characterized. Also, several examples of negations N are given such that the corresponding semicopula is a t-norm.
Year
DOI
Venue
2011
10.1007/978-3-642-24001-0_13
EUROFUSE 2011: WORKSHOP ON FUZZY METHODS FOR KNOWLEDGE-BASED SYSTEMS
Field
DocType
Volume
Diagonal,Commutative property,Negation,Copula (linguistics),Fuzzy logic,Fuzzy negation,Pure mathematics,Mathematics
Conference
107
ISSN
Citations 
PageRank 
1867-5662
0
0.34
References 
Authors
8
3
Name
Order
Citations
PageRank
I. Aguiló18510.76
Jaume Suñer223955.99
Joan Torrens3125992.67