A decision-making approach to a syllogistic reasoning problem with consistency maintenance in a knowledge base

The authors discuss a syllogistic reasoning problem with the knowledge Q₁(A→B), Q ₂(B→C), where Q_i, i=1,2, are imprecise quantifiers such as `most´ and `usually´ and A, B, and C are fuzzy sets such as `big cars.´ They propose an approach that integrates syllogistic reasoning and knowledge-base consistency level maintenance based on the framework of multiobjective decision-making. The syllogistic reasoning problem is formulated as a default estimation problem of missing information in the observed data using the prior knowledge. The empirical knowledge is a collection of observations and is used for the evaluation of the consistency levels of the prior knowledge