A process for generating quantitative belief functions

Constructing confidence belief functions from one expert

“…In the past, many approaches are proposed to construct belief functions from the expert's opinions, such as (Bryson and Mobolurin, 1999;Bryson et al, 1994Bryson et al, , 1995Parsons, 1994;Shafer, 1976;Smets, 1990;Wong and Lingras, 1994;Wong et al, 1991;Yaghlane et al, 2006). However, the proposed method is not an alternative of these methods, which only constitute Step 2 in the procedure for generating the confidence BBA.…”

“…Parsons developed a qualitative binary theory of evidence, in which linguistic quantifiers were used to aid the transformation from the qualitative representation of belief to the numeric representation of belief, and the mass assignments represented by numeric intervals were dealt with (Parsons, 1994). A multi-process approach utilizing qualitative discrimination (Bryson, Ngwenyama, & Mobolurin, 1994) and pair-wise comparison (Bryson, Mobolurin, & Ngwenyama, 1995) came into being (Bryson & Mobolurin, 1999) because of the insufficient study of former methods at conceptual and experimental levels. Recently, a new method for eliciting qualitative belief functions in terms of preference relations transformed into the constraints of an optimization problem was proposed by Yaghlane, Denoeux, and Mellouli (2006).…”

Towards supporting expert evaluation of clustering results using a data mining process model

“…[45]), and Dempster-Shafer belief functions (e.g. [12]). The pairwise comparison information is represented numerically using a matrix A ¼ fa pq g, where a pq is a rational number that is the numerical equivalent of the comparison between objects ''p" and ''q".…”

The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties

“…Although the D-S theory was not originally proposed in relation to artificial intelligence (AI), it has found wide applications in AI and expert systems over the past two decades (Yager et al, 1994;Wallery, 1996;Anand et al, 1996;Benferhat et al, 2000;Denoeux, 1997Denoeux, , 2000aGuan and Bell, 1997;Bryson and Mobolurin, 1999;Yager, 1999;Hullermeier, 2001;He et al, 2001;Davis and Hall, 2003). In decision analysis under uncertainty, the D-S theory has been mostly used as an alternative approach to Bayes decision theory (Yager et al, 1994).…”