Paper Info
Title
The migrativity equation for uninorms revisited.
Abstract
The migrativity equation with interesting applications in decision making and image processing has been extensively discussed involving different kinds of aggregation functions from t-norms and t-conorms to uninorms, nullnorms and some generalizations of them. In recent papers, the already known results concerning the migrativity of two uninorms are based on the assumption that both uninorms belong to one of the most studied classes of uninorms. In this paper we will explore the migrativity equation involving uninorms in a most general setting. Specifically, we will study the migrativity between two uninorms in the cases when the second uninorm lies in any of the most studied classes of uninorms, but the first one is any uninorm with no further assumptions. We will show along the paper that many new solutions appear from this new point of view that were not included in the previous approaches.
Year
DOI
Venue
2017
10.1016/j.fss.2017.03.003
Fuzzy Sets and Systems
Keywords
Field
DocType
Fuzzy connectives,Aggregation functions,Functional equations,Migrativity equation,Uninorm,t-norm,t-conorm
T-norm,Discrete mathematics,Generalization,Functional equation,Mathematics
Journal
Volume
ISSN
Citations 
323
0165-0114
0
PageRank 
References 
Authors
0.34
35
5
Name
Order
Citations
PageRank
Yong Su114913.46
Hua-wen Liu260244.40
Juan Vicente Riera332019.40
Daniel Ruiz-Aguilera434525.56
Joan Torrens5125992.67