Modelling pairwise comparisons on ratio scales

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).…”

An entropy-based approach to faculty assessment with interval numbers

“…The approach is composed of the following three steps: (1). Transform the interval decision matrix into a definite one which makes the entropy of each attribute be maximal, and set up a linear programming model to determine the attribute weights (2).…”

“…The assessment of faculties for tenure and promotion is considered as a multiple attribute decision making problem since the faculty candidates are evaluated against three attributes (or criterion), e.g., teaching, research and service [1,2]. Multiple attribute decision making (MADM) refers to making preference decisions (e.g.…”

A fuzzy analytic network process for multi-criteria evaluation of contaminated site remedial countermeasures

“…Aside from recognizing that real-world inconsistencies do exist, Forman and Selly (2001) identified some of the causes of inconsistency such as lack of information, lack of concentration during judgment process, and inadequate model structure. On the other hand, Bryson et al (1995) asserted that the intransitivity and inconsistency may also be 'errors in judgment' forced on a DM who sees the preference situation and the preference score as occurring over a range, but is required to give a point estimate. He argued that this pair of phenomena appears, not primarily because of 'errors in judgment', but rather because of the vagueness that is inherent in subjective and qualitative evaluations.…”