Curve-based monotonicity: a generalization of directional monotonicity. Issue 5 (4th July 2019)

• Record Type: Journal Article
• Authors: Roldán-López-de-Hierro, Antonio F.; Sesma-Sara, Mikel; Špirková, Jana; Lafuente, Julio; Pradera, Ana; Mesiar, Radko; Bustince, Humberto
• Is Part Of: International journal of general systems. Volume 48:Issue 5(2019)
• Page Start: 523
• Page End: 553
• Publication Date: 2019-07-04
• Subjects: Fusion function -- weak monotonicity -- directional monotonicity -- curve-based monotonicity; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2019.1586684
• Languages: English
• ISSNs: 0308-1079

Abstract

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 α -monotonicity, where α is the corresponding curve. We study several theoretical properties of α -monotonicity and relate it to other notions of monotonicity, such as weak monotonicity and directional monotonicity.