Metrizable ordinal proximity measures and their aggregation

García-Lapresta, José Luis; Pozo, Raquel González del; Pérez-Román, David

doi:10.1016/j.ins.2018.03.034

Cited by 18 publications

(17 citation statements)

References 18 publications

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“…This matrix is called proximity matrix associated with π. A prominent class of OPMs, introduced by García-Lapresta et al [33], is the one of metrizable OPMs which is based on linear metrics on OQSs.…”

Section: Maximum Proximitymentioning

confidence: 99%

“…However, when g > 3 the complexity of constructing OPMs increases. In these cases, we can apply an algorithm that generates metrizable OPMs (see García-Lapresta et al [33]). To do that, the algorithm is based on appropriate sequences of questions whose answers lead to metrizable OPMs.…”

Section: Definition 2 ([33])mentioning

confidence: 99%

“…It is important to mention that these ordinal degrees are only abstract objects that represent different degrees of proximity. Likewise, we use the notion of metrizable ordinal proximity measure, which behaves as if the ordinal comparisons between the terms of the OQS were managed through a linear metric (see García-Lapresta et al [33]). These concepts were recently implemented in some decision-making procedures where alternatives are always assessed through the same OQS.…”

Section: Introductionmentioning

confidence: 99%

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Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure

2020

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Many decision problems manage linguistic information assessed through several ordered qualitative scales. In these contexts, the main problem arising is how to aggregate this qualitative information. In this paper, we present a multi-criteria decision-making procedure that ranks a set of alternatives assessed by means of a specific ordered qualitative scale for each criterion. These ordered qualitative scales can be non-uniform and be formed by a different number of linguistic terms. The proposed procedure follows an ordinal approach by means of the notion of ordinal proximity measure that assigns an ordinal degree of proximity to each pair of linguistic terms of the qualitative scales. To manage the ordinal degree of proximity from different ordered qualitative scales, we provide a homogenization process. We also introduce a stochastic approach to assess the robustness of the conclusions.

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Section: Maximum Proximitymentioning

confidence: 99%

Section: Definition 2 ([33])mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure

2020

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“…A prominent class of OPMs, introduced by García-Lapresta et al [9], is the one of metrizable OPMs which is based on linear metrics on OQSs.…”

Section: Ordinal Proximity Measuresmentioning

confidence: 99%

An ordinal multi-criteria decision-making procedure under imprecise linguistic assessments

García-Lapresta

Pozo

2019

European Journal of Operational Research

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Many decision-making problems such as quality control analysis, market surveys or sensory analysis require ordered qualitative scales, rather than numerical ones. It is very common to assign some cardinal mathematical objects, such as numerical values, intervals of real numbers or fuzzy numbers, to the linguistic terms of ordered qualitative scales. However, when agents perceive that the psychological proximity between each pair of consecutive terms of the scale is not identical, these conversions are meaningless and an ordinal approach to deal with these non-uniform ordered qualitative scales is more appropriate. The aim of this paper is to introduce an ordinal multi-criteria decision-making procedure for ranking alternatives in the setting of ordered qualitative scales that are nonnecessarily uniform. The possibility of doubt is also considered, by allowing agents to assign two consecutive terms of the scale when they hesitate. The proposed procedure is applied to a real case study in which nine experts assessed eight wines regarding different criteria.

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“…This matrix is called the proximity matrix associated with π. Some procedures for generating OPMs in an OQS are introduced by García-Lapresta et al [21].…”

Section: Preliminariesmentioning

confidence: 99%

Decision-making in semi-democratic contexts

Franceschini

García-Lapresta

2019

Information Fusion

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A general problem, which may concern practical contexts of different nature, is to aggregate multi-experts rankings on a set of alternatives into a single fused ranking. Aggregation should also take into account the experts' importance, which may not necessarily be the same for all of them. We synthetically define this context as semi-democratic. The main aim of the paper is the analysis of the possible semi-democratic paradigms that can be conceived when the experts' importance is not the same: (i) the importance is described by means of a weighting vector; (ii) the importance is expressed by a weak order on the set of experts; (iii) the importance is described by a weak order on the set of experts with additional information on the ordinal proximities among them. The three paradigms can be applied in different decision-making situations, where some experts perform multiple assignments. In this paper various situations are discussed and analyzed in detail. A series of examples, in the field of interior design of a new car, will complement the description.

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Metrizable ordinal proximity measures and their aggregation

Cited by 18 publications

References 18 publications

Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure

Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure

An ordinal multi-criteria decision-making procedure under imprecise linguistic assessments

Decision-making in semi-democratic contexts

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