Title
Curve-Based Monotonicity: A Generalization Of Directional Monotonicity
Abstract
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of -monotonicity, where is the corresponding curve. We study several theoretical properties of -monotonicity and relate it to other notions of monotonicity, such as weak monotonicity and directional monotonicity.
Year
DOI
Venue
2019
10.1080/03081079.2019.1586684
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
Field
DocType
Fusion function, weak monotonicity, directional monotonicity, curve-based monotonicity
Discrete mathematics,Monotonic function,Pure mathematics,Mathematics
Journal
Volume
Issue
ISSN
48
5
0308-1079
Citations 
PageRank 
References 
0
0.34
12
Authors
7
Name
Order
Citations
PageRank
Antonio-Francisco Roldán-López-de-Hierro1304.84
Mikel Sesma-Sara2539.07
Jana Špirková38610.84
Julio Lafuente4213.88
Ana Pradera515916.09
Radko Mesiar63778472.41
Humberto Bustince71938134.10