Bi-oriented graphs and four valued logic for preference modelling

Ouahiba Bessouf, Abdelkader Khelladi, Meltem Öztürk () and Alexis Tsoukiàs
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Ouahiba Bessouf: USTHB
Abdelkader Khelladi: USTHB
Meltem Öztürk: CNRS, PSL Research University, Université Paris Dauphine, LAMSADE
Alexis Tsoukiàs: CNRS, PSL Research University, Université Paris Dauphine, LAMSADE

Annals of Operations Research, 2023, vol. 328, issue 2, No 3, 1239-1262

Abstract: Abstract In this paper we show the relations between 4-valued logics (and more precisely the DDT logic) and the use of bi-oriented graphs. Further on we focus on the use of bi-oriented graphs for non conventional preference modelling. More specifically, we show how bi-oriented graphs can be used in order to represent extended preference structures of the type definable using the DDT logic which has been created with the purpose of modelling hesitation in preference statements. We then study how transitive closure can be extended within such extended preference structures.

Keywords: DDT logic; Bi-oriented graphs; Signed graphs; Transitive closure; Preference modelling (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-023-05371-w

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