Logical foundation of multi-criteria decision-aiding

in Perny, Patrice; Slowinski, Roman; VanderPooten, Daniel (Eds.) et al Aiding decisions with multiple criteria: Essays in Honor of Bernard Roy (2002)

In this chapter, we would like to show Bernard Roy’s contribution to modern computational logic. Therefore we first present his logical approach for multi-criteria preference modelling. Here, decision aid ... [more ▼]

In this chapter, we would like to show Bernard Roy’s contribution to modern computational logic. Therefore we first present his logical approach for multi-criteria preference modelling. Here, decision aid is based upon a refined methodological construction, that provides the family of criteria with important logical properties giving access to the concordance principle used for aggregating preferential assertions from multiple semiotical points of view. In a second section, we introduce the semiotical foundation of the concordance principle and present a new formulation of the concordance principle with its associated necessary coherence axioms imposed on the family of criteria. This new methodological framework allows us, in a third part, to extend the classical concordance principle and its associated coherence axioms imposed on the family of criteria – first to potentially redundant criteria, – but also to missing individual evaluations and even partial performance tableaux. [less ▲]

Logical foundation of fuzzy preferential systems with application to the electre decision aid methods

in Computers and Operations Research (2000), 27(7-8), 673-687

Bipolar ranking from pairwise fuzzy outrankings

in Belgian Journal of Operations Research, Statistics and Computer Science (1999), 37(4), 379-387

In this paper we propose to apply the concept of L-valued kernels to the problem of constructing a global ranking from a pairwise L-valued outranking relation defined on a set of decision alternatives as ... [more ▼]

In this paper we propose to apply the concept of L-valued kernels to the problem of constructing a global ranking from a pairwise L-valued outranking relation defined on a set of decision alternatives as encountered in the fuzzy preference modelling context. Our approach is based on a repetitive selection of best and worst candidates from sharpest L-valued or most credible initial and terminal kernels. A practical illustration will concern the global ranking of movies from individual evaluations of a given set of movie critics. [less ▲]

On computing kernels on fuzzy simple graphs by combinatorial enumeration using a CPL(FD) system

Scientific Conference (1996, September 09)

This paper reports our communication done at the 8th Benelux Workshop on Logic Programming in Louvain-la-Neuve, 9 September 1996. We present a constraint formulation in finite domains of the kernel ... [more ▼]

This paper reports our communication done at the 8th Benelux Workshop on Logic Programming in Louvain-la-Neuve, 9 September 1996. We present a constraint formulation in finite domains of the kernel construction on simple digraphs and give some comments on implementation in CHIP. Application to fuzzy choice procedures will illustrate the theoretical developments. [less ▲]

Quel est l'intérêt d'une approche multi-dimensionnelle du jugement de préférence ?

E-print/Working paper (1995)

We present, in terms of logic programming, an algorithm for constructing decision rules from an extensional representation of the solutions to a multiple attributes decision problem. The algorithm is ... [more ▼]

We present, in terms of logic programming, an algorithm for constructing decision rules from an extensional representation of the solutions to a multiple attributes decision problem. The algorithm is based on the decision tree obtained from a hierarchical decomposition of the decision attributes along their discriminatory power of the decision acts. We illustrate our methodological approach with an application to the cognitive categorization of the human colour vision. [less ▲]

Evaluations distributionnelles sur une échelle de préférence qualitative

Doctoral thesis (1981)

In a first Chapter, we present a critical review of the weighted average when facing distributional performance evaluations measured on an essentially qualitative preference scale. In a second Chapter we ... [more ▼]

In a first Chapter, we present a critical review of the weighted average when facing distributional performance evaluations measured on an essentially qualitative preference scale. In a second Chapter we develop a general typology of qualitative preference scales between between ordinal and cardinal; from non gradual, non metrifyable, partially gradual, gradual, metrifyable, metric extensive to additive, additive-archemidian and measurable scales. The typology is based on the subjective degree of indeterminateness of the numerical representation of the performance contrasts. In a third Chapter we finally define a typology of subjective outranking situations: elementary, intensive or extensive; based on the corresponding underlying type of the preference measurement scale. [less ▲]