Title
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
Abstract
In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ordered directional monotonicity, study their main properties and provide some results about their links and relations among them. We also present two families of functions, the so-called linear fusion functions and ordered linear fusion functions and we study the set of directions for which these types of functions are directionally, ordered directionally and strengthened ordered directionally increasing. In particular, OWA operators are an example of ordered linear fusion functions.
Year
DOI
Venue
2018
10.1109/SSCI.2018.8628679
2018 IEEE Symposium Series on Computational Intelligence (SSCI)
Keywords
Field
DocType
Aggregation function,directional monotonicity,generalizations of monotonicity,OWA operator
Monotonic function,Computer science,Fusion,Pure mathematics,Operator (computer programming)
Conference
ISBN
Citations 
PageRank 
978-1-5386-9277-6
0
0.34
References 
Authors
17
6
Name
Order
Citations
PageRank
Mikel Sesma-Sara1539.07
Cédric Marco-Detchart2155.80
Julio Lafuente3213.88
Antonio Roldán4112.49
Radko Mesiar53778472.41
Humberto Bustince61938134.10