Removing redundancy for attribute implications in data with grades

Reasoning with if-then rules –in particular, with those taking from of implications between conjunctions of attributes– is crucial in many disciplines ranging from theoretical computer science to applications. One of the most important problems regarding the rules is to remove redundancies in order to obtain equivalent implicational sets with lower size.

The socioeconomic gradient in health: The role of intra-household resource allocation

This paper aims to analyse the impact of different household financial regimes on the health status of males and females in a number of European countries. Using the EU-SILC 2010 on intra-household sharing of resources, we find that each member of the couple is worse off if his/her partner has most decision-making responsibilities. Additionally, the presence of children in the household plays a role in the effect that household financial regimens exert on individual self-assessed health, especially among females. We conclude that family arrangements regarding resource allocation and decision-making have important consequences and should be given some attention in the task of identifying individuals predisposed to health problems.