eCite Digital Repository

The weighted fuzzy barycenter: definition and application to forest fire control in the PACA region


Rojas-Mora, J and Josselin, D and Aryal, J and Mangiavillano, A and Ellerkamp, P, The weighted fuzzy barycenter: definition and application to forest fire control in the PACA region, International Journal of Agricultural and Environmental Information Systems, 4, (4) pp. 48-67. ISSN 1947-3192 (2013) [Refereed Article]

Copyright Statement

Copyright 2013 IGI Global

DOI: doi:10.4018/ijaeis.2013100103


In this paper, we present a methodology to solve the weighted barycenter problem when the data is inherently fuzzy. This method, from data clustered by expert visual inspection of maps, calculates bi-dimensional fuzzy numbers from the spatial clusters, which in turn are used to obtain the weighted fuzzy barycenter of a particular area. We apply the methodology, to a particularly apt data set of forest fire breakouts in the PACA region of southeastern France, gathered from 1986 to 2008, and sliced into five periods over which the fuzzy weighted barycenter for each one is obtained. Two weighting schemes based on fire intensity and fire density in a cluster were used. The center provided with this fuzzy method provides leeway to planners, which can see how the membership function of the fuzzy solution can be used as a measurement of "appropriateness" of the final location.

Item Details

Item Type:Refereed Article
Keywords:forest fires, location problem, fuzzy sets, robustness, barycenter
Research Division:Engineering
Research Group:Geomatic engineering
Research Field:Geomatic engineering not elsewhere classified
Objective Division:Environmental Management
Objective Group:Terrestrial systems and management
Objective Field:Evaluation, allocation, and impacts of land use
UTAS Author:Aryal, J (Dr Jagannath Aryal)
ID Code:88829
Year Published:2013
Deposited By:Geography and Environmental Studies
Deposited On:2014-02-18
Last Modified:2014-08-06

Repository Staff Only: item control page