The purpose of this paper is to extend a new balancing and ranking method to handle uncertainty for a multiple attribute analysis under a hesitant fuzzy environment. The presented hesitant fuzzy balancing and ranking (HF-BR) method does not require attributes’ weights through the process of multiple attribute decision making (MADM) under hesitant conditions. For the rating of possible alternati...

In this paper we address the problem of aggregating outranking statements from multiple preference criteria of ordinal significance. The concept of ordinal concordance of a global outranking situation is defined and an operational test for its presence is developed. Finally, we propose a new kind of robustness analysis for global outranking statements integrating classical dominance, ordinal an...

In this paper we would like to thoroughly cover the problem of computing all kernels, i.e. minimal outranking and/or outranked independent choices in a bipolarvalued outranking digraph. First we introduce in detail the concept of bipolar-valued characterisation of outranking digraphs, choices and kernels. In a second section we present and discuss several algorithms for enumerating the kernels ...

We propose an indirect approach for assessing criteria importance weights from overall outranking statements that a decision-maker may acknowledge in a Multiple Criteria Decision Aid process. Our approach takes advantage of the bipolar characteristic valuation of the overall outranking and the stability of its associated median-cut, crisp outranking relation. Numerical criteria importance weigh...

project selection is considered as an important problem in project management. it is multi-criteria in nature and is based on various quantitative and qualitative factors. the main purpose of this paper is to present a new rank-based method for project selection in outranking relation. according to this approach, decision alternatives were clustered in the concordance matrix and the discordance...

The ELECTRE family of decision aid methods are well-known approaches in the field of multiple criteria decision aiding (MCDA). Different ELECTRE methods can be used for choice problem, ranking problem and sorting problem respectively. These methods are characterized by outranking relations and exploitation procedures. Different definitions of the outranking relations result in the difference of...

This article presents the problem of the selection of k best alternatives in the context of multiple criteria decision aid. We situate ourselves in the context of pairwise comparisons of alternatives and the underlying bipolar-valued outranking digraph. We present three formulations for the best k-choice problem and detail how to solve two of them directly on the outranking digraph. Mots-Clefs....

Project selection is considered as an important problem in project management. It is multi-criteria in nature and is based on various quantitative and qualitative factors. The main purpose of this paper is to present a new rank-based method for project selection in outranking relation. According to this approach, decision alternatives were clustered in the concordance matrix and the discordance...

This note discusses the properties of the asymmetric part of an outranking relation a la ELECTRE. Such relations have been used in the pseudodisjunctive version of ELECTRE TRI-B. We show that they have properties that are somewhat di erent from the ones of outranking relations. Indeed, contrary to outranking relations, they allow to have at the same time veto and bonus e ects. We suggest that t...

In this paper, a new outranking approach for multi-criteria decision-making (MCDM) problems is developed in the context of a simplified neutrosophic environment, where the truth-membership degree, indeterminacy-membership degree and falsity-membership degree for each element are singleton subsets in [0,1]. Firstly, the novel operations of simplified neutrosophic sets (SNSs) and relational prope...