In the Czech Republic each elementary or secondary school decides which textbook will be used for a given class and a given subject of education. As a supply of textbooks is wide, a selection of the most suitable textbook by a teacher is a typical case of multi-criteria decision making situation...

We present in this paper necessary and sufficient conditions for the representation of preferences in a decision making problem, by the Sugeno integral, in a purely ordinal framework. We distinguish between strong and weak representations.

We consider the problem of ordering probability distributions which take the values in a set having only an ordering. Using the cumulative distribution function we are able to introduce some fundamental proper-ties required of such procedures. We then consider ordering procedures that are based...

The aim of the paper is to present under uncertainty, and in an ordinal framework, an axiomatic treatment of the Sugeno integral in terms of preferences which parallels some earlier derivations devoted to the Choquet integral. Some emphasis is given to the characterization of uncertainty aversion.

This note introduces a scoring rule for ordinal likelihood judgments based on the linear scoring rule. If the ordinal judgments are strict, the scoring rule is incentive compatible for expected utility maximizers as long utility is increasing in wealth. When allowing for non-strict judgments,...

This paper aims at proposing measures of polarization for the distribution of a variable when information on the latter is only ordinal. The measures proposed are borrowed from the recent literature on the measurement of segregation. An empirical illustration is given, based on the European...

Social polarization refers to the measurement of the distance between different social groups, defined on the basis of variables such as race, religion, or ethnicity. We propose two approaches to measuring social polarization in the case where the distance between groups is based on an ordinal...

Multi-Criteria Inventory Classification (MCIC) groups inventory items with respect to several criteria, in order to facilitate their management. This paper introduces a new hybrid method based on AHP and the K-means algorithm. On benchmarking data, it provides a clearly higher clustering...

In our previous work published in this journal, we showed how the Hit-And-Run (HAR) procedure enables efficient sampling of criteria weights from a space formed by restricting a simplex with arbitrary linear inequality constraints. In this short communication, we note that the method for...