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Bi-oriented graphs and four valued logic for preference modelling

delete2023-06-11
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PRE
AI
O
Ouahiba Bessouf
A
Abdelkader Khelladi
M
Meltem Öztürk *
A
Alexis Tsoukiàs
DOI:10.1007/s10479-023-05371-wdelete
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Abstract

Abstract

En 中文
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

Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.0K
Citations:
2.1W

Organization

U
Universite PSL
Scholars:
3.3W
Papers: 2.5W
Citations: 91