Belief function theory based decision support methods: Application to torrent protection work effectiveness and reliability assessment

Managing protection in torrential mountain watersheds: A new conceptual integrated decision-aiding framework

“…The objective of this article is to show how the use of new decisionaiding methods may be integrated into a formalised framework of analysis through the conceptual description of this analytical framework. This article does not aim at detailing mathematical aspects of such methods or at showing the real application of these individual methods on different sub-problems as already done elsewhere (Carladous et al, 2015(Carladous et al, , 2016c. Under this assumption, the Section 2 introduces the methods, didactically, without detailing calculation-intensive aspects but by justifying choices made.…”

Applying ER-MCDA and BF-TOPSIS to Decide on Effectiveness of Torrent Protection

“…An expert assesses M = 4 check dam series A i according to their effectiveness given an imperfect evaluation of each C j and using ER-MCDA step 1. After this common step, ER-MCDA step 2 is used to assess (DMA1) the effectiveness of each A i expressed by four qualitative labels (levels) in Θ = {high, medium, low, no} [1]. Then steps 2 and 3 of the method based on BF-TOPSIS3 developed in section 3.4 are used to rank all A i and to choose the most effective one, A i (DMA2).…”

“…In practice, scoring each criterion is difficult and imperfect. Experts affect each check dam series to one of several qualitative evaluation classes of effectiveness (high, medium, low, no) [1]. Evidential Reasoning for Multi Criteria Decision Analysis (ER-MCDA) has been developed on the basis of fuzzy sets, possibility and belief function theories [2,3] to decide on such MCDM problems, taking into account imperfect assessment of criteria provided by several sources.…”

“…Given the final qualitative label for each check dam series, a coarse ranking of all of them can be provided, as shown in recent applications [1]. Nevertheless, risk managers need a finer ranking to choose the most effective one.…”

A New ER-MCDA Mapping for Decision-Making Based on Imperfect Information

“…This evaluation is based on several criteria, such as the scouring rate (expressed in percentage) which is a damageable loss of foundation support 5 [2]. In this application context, the Fig.…”