Authors: Đukić, Marija
Tepavčević, Andreja 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Poset valued intuitionistic preference relations
Journal: Computational Intelligence and Mathematics for Tackling Complex Problems
Series/Report no.: Studies in Computational Intelligence
Volume: 819
First page: 67
Last page: 74
Issue Date: 1-Jan-2020
ISBN: 978-3-030-16023-4
ISSN: 1860-949X
DOI: 10.1007/978-3-030-16024-1_9
It is known that in every finite poset each element can be presented as a join of completely join-irreducible elements. This representation is used here to justify a new notion of poset-valued reciprocal (preference) relations and also the intuitionistic version of this definition. Join-irreducible elements would represent pieces of information representing grade of preference in this framework. It is demonstrated that no restriction on type of a poset is needed for developing the intuitionistic approach, except that the poset should be bounded with the top element T and the bottom element B (T representing the total preference). Some properties are proved and connections with previous definitions are shown. It is demonstrated that the new definition is in a sense more general (and in some aspects more convenient) than previous ones.
Keywords: Intuitionistic preference | Join irreducible element | Poset
Publisher: Springer Link
Project: Development of methods of computation and information processing: theory and applications 
Provincial Secretariat for Higher Education and Scientific Research, Grant no. 142-451-3642/2017/01

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