The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations:strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, anindifference, and an incomparability relation.This approach allows one to quantify diff...

We consider constructive approaches to decision making which allow incomplete preference orders over multiple criteria. Whereas additional preferences may be acquired during the decision making process, the set of criteria is usually kept fixed. In this paper, we study the addition of new criteria and examine how this may refine or even reverse the existing preferences. We identify essential ch...

A long Utilitarian tradition has the ideal of equal regard for all individuals, both those now living and those yet to be born. The literature formalizes this ideal as asking for a preference relation on the space of infinite utility streams that is complete, transitive, invariant to finite permutations, and respects the Pareto ordering; an ethical preference relation, for short. This paper arg...

With personalisation becoming more prevalent, it can often be useful to be able to infer additional preferences from input user preferences. Preference inference techniques assume a set of possible user preference models, and derive inferences that hold in all models satisfying the inputs; the more restrictive one makes the set of possible user preference models, the more inferences one gets. S...

Even-cycle matroids are elementary lifts of graphic and even-cut cographic matroids. We present a polynomial algorithm to check if binary matroid is an even-cycle we matroid. These two algorithms rely on (to be described in pair follow-up papers) pinch-graphic.

The even-even Ytterbium isotopes lack spectroscopic information with the increase of neutron number and they are well deformed nuclei, presenting rotational properties. In this mass region nuclear chart predictions have shown rare phenomena related to structure, such as shape coexistence. work population excited states were investigated in Yb via 2n-transfer reaction 168-174Yb (18O, 16O) 170-17...

We introduce two criteria for judging “goodness” of the result when combining preference relations in information systems: completeness and consistency. Completeness requires that the result must be the union of all preference relations, while consistency requires that the result must be an acyclic relation. In other words, completeness requires that the result contain all pairs appearing in th...