It is proposed in the paper the interval data fusion procedure intended for determination of
an interval to be consistent with maximal number of given initial intervals (not necessary …

arXiv:1508.07606v2 [math.MG] 8 Mar 2016 Page 1 Contemporary Mathematics Helly’s
Theorem: New Variations and Applications Nina Amenta, Jesús A. De Loera, and Pablo …

It is shown in the paper that an interval data fusion procedure can be carried out by means of
representation of intervals on the real line by weak order relations (or rankings) over set of …

Актуальность темы. Описание результатов измерений в форме интервалов, границы
которых определяются найденными экспериментально или заранее заданными …

We explore the switching-algebraic computation of the Banzhaf indices for general and
monotone or unrestricted systems. This computation is achieved via (a) two Boolean …

1. INTRODUCTION. In approval voting systems, each voter indicates approval or
disapproval for each candidate or option (we use the term platform), and the platform with …

We examine the following voting situation. A committee of k people is to be formed from a
pool of n candidates. The voters selecting the committee will submit a list of j candidates that …

We survey a host of results from discrete geometry that have bearing on the analysis of
geometric models of approval voting. Such models view the political spectrum as a …

The discrete cube {0, 1} d is a fundamental combinatorial structure. A subcube of {0, 1} d is a
subset of 2k of its points formed by fixing k coordinates and allowing the remaining d− k to …

In approval voting, individuals vote for all platforms that they find acceptable. In this situation
it is natural to ask: When is agreement possible? What conditions guarantee that some …