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ISSN:2325-6192 (print)
ISSN:2325-6206 (online)
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn

Combination of Imperfect Data in Fuzzy and Probabilistic Extension Classes

Journal of Environmental Accounting and Management 3(2) (2015) 123--150 | DOI:10.5890/JEAM.2015.06.004

Jérôme Dantan$^{1}$,$^{2}$; Yann Pollet$^{2}$; Salima Taibi$^{1}$

$^{1}$ Esitpa, Agri’terr, Mont-Saint-Aignan, France

$^{2}$ CNAM, CEDRIC, Paris, France

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Abstract

In this article, we propose a uniform formal model able to handle uncertain data. The approach presented provides a formalism for both representing and manipulating rigorously quantities which may have a finite number of possible or probable values with their interdependencies. Then, we define an algebraic structure to operate chained computations on such quantities with properties similar to 兟 . Next, we provide a particular interpretation for mixing such quantities through the Dempster- Shafer theory. Finally, we provide an implementation of this approach into object oriented programming.

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