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

journal contribution
posted on 2023-05-17, 22:08 authored by Rojas-Mora, J, Josselin, D, Jagannath Aryal, Mangiavillano, A, Ellerkamp, P
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.

History

Publication title

International Journal of Agricultural and Environmental Information Systems

Volume

4

Issue

4

Pagination

48-67

ISSN

1947-3192

Department/School

School of Geography, Planning and Spatial Sciences

Publisher

IGI Global

Place of publication

United States of America

Rights statement

Copyright 2013 IGI Global

Repository Status

  • Restricted

Socio-economic Objectives

Evaluation, allocation, and impacts of land use

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