Concept of Temporal Pretopology for the Analysis for Structural Changes: Application to Econometrics

Nazha Selmaoui-Folcher, Jannai Tokotoko, Samuel Gorohouna, Laisa Roi, Claire Leschi and Catherine Ris
Additional contact information
Nazha Selmaoui-Folcher: University of New Caledonia, New Caledonia
Jannai Tokotoko: University of New Caledonia, New Caledonia
Samuel Gorohouna: University of New Caledonia, New Caledonia
Laisa Roi: University of New Caledonia, New Caledonia
Claire Leschi: INSA de Lyon, France
Catherine Ris: University of New Caledonia, New Caledonia

International Journal of Data Warehousing and Mining (IJDWM), 2022, vol. 18, issue 2, 1-17

Abstract: Pretopology is a mathematical model developed from a weakening of the topological axiomatic. It was initially used in economic, social and biological sciences and next in pattern recognition and image analysis. More recently, it has been applied to the analysis of complex networks. Pretopology enables to work in a mathematical framework with weak properties, and its nonidempotent operator called pseudo-closure permits to implement iterative algorithms. It proposes a formalism that generalizes graph theory concepts and allows to model problems universally. In this paper, authors will extend this mathematical model to analyze complex data with spatiotemporal dimensions. Authors define the notion of a temporal pretopology based on a temporal function. They give an example of temporal function based on a binary relation, and construct a temporal pretopology. They define two new notions of temporal substructures which aim at representing evolution of substructures. They propose algorithms to extract these substructures. They experiment the proposition on 2 data and two economic real data.

Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJDWM.298004 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:igg:jdwm00:v:18:y:2022:i:2:p:1-17

Access Statistics for this article

International Journal of Data Warehousing and Mining (IJDWM) is currently edited by Eric Pardede

More articles in International Journal of Data Warehousing and Mining (IJDWM) from IGI Global
Bibliographic data for series maintained by Journal Editor ().