… To examine the multiplicative consistency of interval fuzzy preference relations (IFPRs),
this paper first analyzes the limitations associated with the previous consistency concepts. …

… multiplicative consistent HFLPR. For a HFLPR with unacceptably multiplicative consistency,
we develop a consistency-improving process to adjust it into an acceptably multiplicative one…

… that the multiplicative consistency is … preference relations to denote the cardinal
consistency.Therefore, we investigate the multiplicative consistency for reciprocal preference …

… multiplicative transitivity property from RPR to IRPR, as well as the definition … multiplicative
consistent IRPR and consistency indexes of IRPRs. In Section 3, a multiplicative consistency …

… method to construct consistent fuzzy preference relations from n−1 given preference values.
… design a method to construct consistent multiplicative preference relations from a set of n−1 …

… provided IFPR and the converted multiplicative consistent IFPR, and the … multiplicative
consistency of IFPRs. Finally, based on the order consistency and the multiplicative consistency, …

… fuzzy reciprocal preference relations are derived. Furthermore, the new definition of consistency
for interval reciprocal preference relations is compared with the definition of consistency …

… multiplicative consistency of the linguistic preference relation, … an incomplete linguistic
preference relation, and establish a … their linguistic preference relations in a more consistent way. …

… preference relations (IVFPRs). Firstly, this paper proposes a new multiplicative consistency
… It is proved that this new multiplicative consistency is robust and invariable to compared …

… that multiplicative transitivity is the most appropriate property for modeling … consistency of
reciprocal preference relations. Results toward the characterization of this uninorm consistency …