Exploring Consistency for Hesitant Preference Relations in Decision Making: Discussing Concepts, Meaning and Taxonomy

TítuloExploring Consistency for Hesitant Preference Relations in Decision Making: Discussing Concepts, Meaning and Taxonomy
Tipo de publicaciónRevista Internacional
Año de publicación2018
AutoresR. M. Rodríguez, Y. Xu, L. Martínez and F. Herrera
RevistaJournal of Multiple Valued Logic & Soft Computing
Number of Volumes2-3
EditorialOld City Publishing
ISSN Number1542-3980
Palabras claveconsistency, decision making, hesitant preference relation

Preference relation is a usual preference elicitation structure in decision
making problems, because of its simplicity and clarity for experts
involved. However different issues related to preference elicitation
make necessary to check that such relations have at least a minimal consistency
to obtain meaningful decisions. Consistency of preference relations
is related to rationality of experts’ preferences and it ensures that
their elicitation does not follow either a random or an illogical process.
The lack of consistency leads to useless and wrong decisions. Hence the
consistency checking of preference relations is a crucial and challenging
issue across the decision process. Consequently multiple proposals have
been introduced to study the consistency of preference relations. Keeping
in mind the importance of consistency and taking into account the
recent and high interest of hesitant fuzzy information in decision making
with appearance of Hesitant Fuzzy Sets, this paper aims at establishing
a clear taxonomy regarding the types of consistency of preference
relations with hesitant information such as, hesitant fuzzy preference
relation, hesitant multiplicative preference relation, and the extended
hesitant fuzzy linguistic preference relation; pointing out those cases
that make no sense to study, and proposing new definitions for the types
of consistency when dealing with hesitant preference relations in those
cases that either there have not been defined yet or in those ones in
which current definitions can be improved.

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