A new outranking‐based approach for assigning alternatives to ordered classes

Abstract

Abstract:We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C 1 , C 2 , . . . , C p . This problem is known as the multi-criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio-political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction of outranking relations. Among these, the Electre Tri method requires defining multidimensional profiles that represent the "frontier" separating consecutive categories C h and C h+1 , and assigns an alternative to categories according to how it compares to each of the profiles. The explicit specification of the profiles of consecutive categories can be difficult for decision makers. We develop a new outranking based sorting method that does not require the explicit definition of profiles. We instead require the decision maker to assign a subset of reference alternatives to the categories. To assign the remaining alternatives, each such alternative is compared to reference alternatives, and assigned to categories accordingly.

Handling the Multiplicity of Solutions in a Moea Based PDA-THESEUS Framework for Multi-Criteria Sorting

“…His/her preferences are represented by an index of credibility of the outranking σ that models the degree of credibility of the outranking. As in [15] and [19], given a certain credibility threshold λ, the general approach of THESEUS is based on the fulfilment of the implications ∀ ∈ ( , ) ≥ λ ⇒ ( ) ≿ ( ) (1.a) ( , ) ≥ λ ⇒ ( ) ≿ ( ) (1.b) (where C(b) denotes the category to which the object b was assigned; C(x) is the most appropriate assignment of x; and ≿ denotes the statement "at least as good as" on the set of categories, which is related to the decision-aiding context).…”

DIS-CARD: a new method of multiple criteria sorting to classes with desired cardinality

“…Specifying the class profiles can be an overwhelming task for a DM. For such decision making situations, there were proposed some outranking methods which require the DM to provide indirect preference information in the form of assignment examples (see, e.g., [6,16,21]). An outranking model is said to be consistent with a set of assignment examples if and only if:…”

An interactive approach to multicriteria sorting for quasiconcave value functions

“…To see how our algorithm performs when we increase the number of criteria and/or the number of alternatives to be evaluated, we generated 100 random sets of alternatives where scores on a given criteria for all alternatives were generated from a Normal distribution with mean μ and standard deviation σ . We generated μ from U [10,20] and σ from U [2,6]. We rescaled all scores so that they were between 0 and 1.…”