In this paper, we present a procedure to estimate missing preference values when dealing with pairwise comparison and heterogeneous information. The procedure attempts to estimate the missing information in an expert's incomplete fuzzy preference relation using only the preference values provided by that particular expert. Our procedure to estimate missing values can be applied to incomplete fu...

The paper deals with the valued comparison of intervals for decision making. Interval orders are classical preference structures where the comparison of intervals is done in an ordinal way. In this paper we focus on valued comparison where more information, especially the distance between end-points of intervals, is used in order to have more sophisticated preference relations. The generalizati...

In the paper, we generalize the classic benchmark tracking problem by introducing the class of relative deviation metrics (r.d. metrics). We consider specific families of r.d. metrics and how they interact with one another. Our approach towards their classification is inspired by the theory of probability metrics — we distinguish between compound, primary and simple r.d. metrics, introduce mini...

Strong binding of dyes to simple globular proteins takes place predominantly in areas overlapping the binding sites for substrates, coenzymes and prosthetic groups, in preference to other regions of the protein surface. The structure of the dyes bears no obvious relationship to that of the normal ligands. It is proposed that this phenomenon is a reflection of the special stereochemical features...

This paper offers a defense of the Austrian theory that states the proportion of consumption relative to investment determines the interest rate in society. It analyzes the implications of changes in the demand for present goods on the time market and makes the case that this demand is strictly derivative of the total amount of money spent on consumption. In addition, it investigates how concom...

This paper presents a new approach to decision-making under risk. Preference over risky prospects is defined as a triadic reference-dependent relation in a sense similar to Sugden (2003). Characterized by a set of von Neumann-Morgenstern-style axioms, a new reference-dependent representation theory – called compound utility theory (CUT) – is obtained which accommodates nonlinear preferences (in...

Entropic uncertainty is a well-known concept to formulate relations for continuous variable quantum systems with finitely many degrees of freedom. Typically, the bounds such scale number oscillator modes, preventing straight-forward generalization field theories. In this work, we overcome difficulty by introducing notion functional relative entropy and show that it has meaningful theory limit. ...

A logic of preference does not pertain to the formation of preferences, but rather to a pre-established hierarchy of alternatives, ordered by some underlying relation. A wide variety of relations, corresponding to reasons behind the ordering of alternatives, may be seen as preference relations. For example, alternatives may be ordered by the pleasure or utility they bring about, they may be ran...

This paper introduces a new approach to classification which combines pairwise decomposition techniques with ideas and tools from fuzzy preference modeling. More specifically, our approach first decomposes a polychotomous classification problem involving m classes into an ensemble of binary problems, one for each ordered pair of classes. The corresponding classifiers are trained on the relevant...