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◆ Discrete Applied Mathematics2026-04-27· Preference

Multiple criteria option prioritization method in the graph model for conflict resolution

Raí dos Santos Mota, Maísa Mendonça Silva, Leandro Chaves REGO

原始摘要(英文原文)· Original abstract
The Graph Model for Conflict Resolution (GMCR) is a widely used technique for analyzing conflicts involving two or more decision makers (DMs), where each of them has a set of actions to be taken (the options) and different perceptions (the preferences) about the possible outcomes of the dispute (the states). In fact, preference information is essential for applying GMCR and its absence precludes the use of formal conflict analysis methods. This paper proposes a multi-criteria extension of the option prioritization technique for preference elicitation within the GMCR framework. In the standard approach, each DM is required to provide a complete ranking of preference statements expressed as Boolean combinations of conflict options. The proposed method relaxes this requirement by allowing indifference among preference statements. To illustrate the approach, it is applied to an Information Technology (IT) outsourcing conflict involving two DMs: the service provider and the client organization. The results highlight two main advantages: (i) the method supports DMs in formulating preference statements based on explicit criteria; and (ii) it produces more structured preference rankings.
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