In this paper we study the multicriteria decision aid (MCDA) methods PROMETHEE and GAIA. The PROMETHEE method provides the decision maker with a ranking. The GAIA method provides a two dimensional representation of the decision problem based on the flows computed by the PROMETHEE method. However, a limit of the GAIA method is the loss of information by its two-dimensional projection which may l...

This paper introduces the interval-PROMETHEE method to the investment decision making of value investing. Five performance criteria are used for measuring the growth potential of firms and are represented by interval numbers based on the real financial data. The interval-PROMETHEE method is applied to rank the 20 randomly selected stocks in Shanghai Stock Exchange. The portfolio with the top 5 ...

[6] A. Valls Mateu, CLUSDM: a multiple criteria decision making method for heterogeneous data sets, Polytechnic University of Catalonia. 2002. [8] B. Roy.Critères multiples et mod´elisation des pr´ef´erences : l'apport des relations de surclassement. Revue d'Economie Politique, 1974. [10] R. Bisdorff. Electre-like clustering from a pairwise fuzzy proximity index. methods for sorting and cluster...

PROMETHEE and GAIA belong to the family of multi-criteria outranking methods. A key aspect of their successful application to real problems relies on the existence of user-friendly software implementing these approaches. Following PROMCALC and DECISION LAB 2000, D-Sight is the third generation of PROMETHEE and GAIA based applications. It offers multiple interactive and visual tools that help th...

Assembling and simultaneously using di↵erent types of distributed computing infrastructures (DCI) like Grids and Clouds is an increasingly common situation. Because infrastructures are characterized by di↵erent attributes such as price, performance, trust, greenness, the task scheduling problem becomes more complex and challenging. In this paper we present the design for a fault-tolerant and tr...

Robust Ordinal Regression (ROR) supports Multiple Criteria Decision Process by considering all sets of parameters of an assumed preference model, that are compatible with preference information elicited set of parameters, respectively. In this paper, we propose an extension of ELECTRE and PROMETHEE methods to the case of the hierarchy of criteria, which was never considered before. Then, we ada...

In this paper we extend the PROMETHEE methods to the case of interacting criteria on a bipolar scale, introducing the bipolar PROMETHEE method based on the bipolar Choquet integral. In order to elicit parameters compatible with preference information provided by the Decision Maker (DM), we propose to apply the Robust Ordinal Regression (ROR). ROR takes into account simultaneously all the sets o...

Promethee II is a prominent method for multicriteria decision aid (MCDA) that builds a complete ranking on a set of potential actions by assigning each of them a so-called net flow score. However, to calculate these scores, each pair of actions has to be compared, causing the computational load to increase quadratically with the number of actions, eventually leading to prohibitive execution tim...

In Multi-criteria Decision Making (MCDM) problems dealing with qualitative criteria and uncertain information the use of linguistic values is suitable for the experts in order to express their judgments. It is common that the group of experts involved in such problems have different degrees of knowledge about the criteria, so we propose a multi-granular linguistic framework such that each exper...

It is generally believed that the preference ranking method PROMETHEE has a quadratic time complexity. In this paper, however, we present an exact algorithm that computes PROMETHEE’s net flow scores in time O(qn log(n)), where q represents the number of criteria and n the number of alternatives. The method is based on first sorting the alternatives after which the unicriterion flow scores of al...