This paper investigates a multi-criteria decision making method in an uncertain environment, where the uncertainty is represented using the belief function framework. Indeed, we suggest a novel methodology that tackles the challenge of introducing uncertainty in both the criterion and the alternative levels. On the one hand and in order to judge the criteria weights, our proposed approach sugge...

A stochastic formulation of the Analytic Hierarchy Process (AHP) using an approach based on Bayesian categorical data models has been developed. However, in categorical data models it is known that the selection of the link function may have an impact on the model estimates. In particular, the selection of the probit link implies an assumption that model error terms are normally distributed and...

Dimension Theory allows the representation of any finite set of alternatives in a real space, provided that the associated preference relation defines a partial order set. Such a representation can be very useful whenever criteria are not known, are therefore we can not even address the problem of evaluating their respective weights. In this paper we propose that the importance of underlying cr...

Recent research has recognised that multicriteria decision making (MCDM) should take account of uncertainty, risk and confidence. This paper takes this research forward by using linguistic variables and triangular fuzzy numbers to model the decision maker’s (DM) risk and confidence attitudes in order to define a more complete MCDM solution. To illustrate the computation process and demonstrate ...

Sound decision-making processes for investments in water supply systems need to be developed. This need arises from the problem observed in developing countries of a growing demand for water supply projects coupled with a lack of financial resources available to invest in them. A second problem is the selection of a locality that is most in need of assistance for the implementation of the water...

The Choquet integral is one of the most sophisticated and expressive preference models used in decision theory for multicriteria decision making. It performs a weighted aggregation of criterion values using a capacity function assigning a weight to any coalition of criteria, thus enabling positive and/or negative interactions among criteria and covering an important range of possible decision b...

Several real-world problems, including distributed system design and product design among others, are characterized by combinatorially explosive solution spaces as well as multiple, conflicting criteria. Strategies for finding near-optimal solutions, developed for combinatorial problems, are not applicable in such situations, which require a balance between extensive computation and continual i...