Title: Towards a formalisation of the linguistic conditional preference networks

Authors: I. Truck; J. Malenfant

Addresses: EA4383 – LIASD, Université Paris 8, 2, rue de la Liberté, 93526 Saint-Denis, France. ' UMR7606 CNRS – LIP6, Université Pierre et Marie Curie-Paris 6, 4, place Jussieu, 75005 Paris, France

Abstract: In recent works, we have proposed a graphical model to represent linguistic preferences called LCP-nets. LCP-nets have been implemented and used in a specific use case of industrial engineering. In this paper, we consolidate this contribution in formalising it through a set of notations and computation rules in order to guarantee its durability and its reusability to other multi-criteria decision contexts. The paper formalises the LCP-net structure, semantics, and validity. It also formalises the dominance testing and optimisation queries (for a discretised version of the problem in this latter case), in the line of previous CP-nets models.

Keywords: fuzzy preferences; conditional preference networks; linguistic CP-nets; LCP-nets; multicriteria decision making; MCDM; dominance testing query; optimisation queries; industrial engineering; semantics.

DOI: 10.1504/IJAMS.2012.049924

International Journal of Applied Management Science, 2012 Vol.4 No.4, pp.349 - 370

Published online: 19 Oct 2012 *

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