We present a new method, called UTA, for multiple criteria ranking of alternatives from set A using a set of additive value functions which result from an ordinal regression. The preference information provided by the decision maker is a set of pairwise comparisons on a subset of alternatives A A, called reference alternatives. The preference model built via ordinal regression is the set of all...

Measuring consistency of preferences is very important in decision-making. This paper addresses this key issue for interval-valued reciprocal preference relations. Existing studies implement one of two different measures: the “classical” consistency measure, and the “boundary” consistency measure. The classical consistency degree of an interval-valued reciprocal preference relation is determine...

Abstract Subject preference in relative clauses (RCs) has been reported typologically diverse languages, but overall one notes that the number of languages analyzed experimentally remains extremely low. This paper presents experimental and natural evidence from Ixcatec, a critically-endangered Otomanguean language. Ixcatec is relevant to discussion on universal subject for having syntactically ...

The aim of this work is to study an essential property in the framework of fuzzy preference structures, which is the transitivity. In particular, we discuss the relationship between the transitivity of a fuzzy large preference relation R and the transitivity of the fuzzy strict preference relation P obtained from R when every pair of elements can be compared. We consider some of the most import...

For actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. First, the additive consistency of an uncertain 2-tuple linguistic preference relation is defined. Ba...

As we may have a set of possible values when comparing alternatives (or criteria), the hesitant fuzzy preference relation becomes a suitable and powerful technique to deal with this case. This paper mainly focuses on the multiplicative consistency of the hesitant fuzzy preference relation. First of all, we explore some properties of the hesitant fuzzy preference relation and develop some new ag...

The aim of this paper is to introduce and investigate a new family of purely qualitative models for decision making under uncertainty. Such models do not require any numerical representation and rely only on the definition of a preference relation over consequences and a relative likelihood relation on the set of events. Within this family, we focus on decision rules using reference levels in t...

We introduce various new supraclassical entailment relations for defeasible reasoning and investigate some of their relationships. The contrapositive of the usual nonmonotonic preferential entailment turns out to be a monotonic supraclassical entailment. Analogously to these two, a nonmonotonic and its contrapositive monotonic supraclassical entailment can be defined by using modal operators re...