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Evaluating a model of forest succession using fuzzy analysis 

Authors: Jeong-Mi Yoon a; Andreacute de Korvin a
Affiliation:   a Department of Computer & Mathematical Sciences, University of Houston, Houston, TX, U.S.A.
DOI: 10.1081/SAP-120000227
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 19, Issue 5 October 2001 , pages 893 - 901
Formats available: HTML (English) : PDF (English)
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Abstract

In this paper we discuss how to select the optimal policy from a set of possible policies for a model of forest succession, which can be characterized by a set of trees and the corresponding average life-span with each possible tree transition. The transition probabilities are estimated by counting the numbers of sapling trees of each species under a canopy tree. [1]. In our setting the transition matrix is defined by using the linguistic terms and as a consequence, the expected longevity of each tree is fuzzy. We use the Dempster-Shafer theory [8] ('76) together with techniques of Norton [7] ('88) and Smetz [9] ('76) to approximate the transition probabilities.
Keywords: Fuzzy sets; Longevity; Markov chains; Transition probabilities; Stationary probabilities
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