Title
A Review of the Relationships between Aggregation, Implication and Negation Functions
Abstract
Aggregation functions, on one hand, and implication functions, on the other, play different although important roles in the field of fuzzy logic. Both have been intensively investigated in the last years, revealing the tide relationship that exists between them. The present work reviews the most relevant aspects of this relation, which most of the times also involves negation functions. In addition to the well-known use of aggregation and negation functions to build and to characterize implication functions, we analyze how new families of aggregation functions and negation functions can be obtained from implications, and we recall the main equations and inequations involving these three classes of functions.
Year
DOI
Venue
2013
10.1007/978-3-642-39165-1_6
AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE
Field
DocType
Volume
Fuzzy connective,Fuzzy implication,Negation,Computer science,Fuzzy logic,Theoretical computer science,Recall
Conference
228
ISSN
Citations 
PageRank 
2194-5357
2
0.37
References 
Authors
11
1
Name
Order
Citations
PageRank
Ana Pradera115916.09