On the use of the Choquet integral with fuzzy numbers in multiple criteria decision support

International audienceThis paper presents a multiple criteria decision support approach in order to build a ranking and suggest a best choice1 on a set of alternatives. The partial evaluations of the alternatives on the points of view can be fuzzy numbers. The aggregation is performed through the use of a fuzzy extension of the Choquet integral. We detail how to assess the coefficients of the aggregation operator by using alternatives which are well-known to the decision maker, and which originate from his domain of expertise

A Dffinition Of Partial Interval Orders

Preference modelling often uses concents such as preorders, semiorders and interval orders and, in most cases, it is assumed that the relations are comolete (no incomparability). However, incomparabilities naturally appear in many decision problems, as for example, in multicriteria problems. That is the reason why the study of partial relations becomes more and more important. In this paper, we Propose a definition of partial interval order which extends the concent of interval order, which is compatible with a numerical representation and which is defined by properties very easy to verify. © 1984.SCOPUS: ar.kinfo:eu-repo/semantics/publishe

Fuzzy possibility graphs and their applications to ranking fuzzy numbers

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Linear orders and semiorders close to an interval order

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On families of semiorders and interval orders imbedded in a valued structure of preference: a survey

The paper presents all the families of semiorders and interval orders that can be built up on the basis of some valued preference relations. Some of these families (called row and column-homogeneous) generalize the homogeneous families of semiorders studied by Roberts and include the {Pλ} families studied by Fishburn. The families are then examined from the view point of interval representation models, also called "threshold models".info:eu-repo/semantics/publishe

Représentation et ajustement des ordres d'intervalles

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