Decathlon, Conflicting Objectives and User Preference Querying

First motivation of our approach is Decathlon as an athletic discipline and its development in the last century (http://www.decathlon.ee). During this period, motivated by a desire of a fair competition, a development in scoring tables occurred. Today we can say it is stabilized. It shows single disciplines ordered (and scored) in direction of better (harder) achievement. Comparison with single discipline world records shows that current decathlon world record holder (Roman Sebrle, CZ) was able to achieve about 65-92% of physical measurement and about 59-88% of point achievements of single discipline world records. Of course the point of decathlon is that all disciplines should be done by a single athlete in two consecutive days. Total achievement in decathlon is evaluated by the sum of point in single disciplines. Another motivation comes from the paper IHAB F. ILYAS, GEORGE BESKALES and MOHAMED A. SOLIMAN. A Survey of Top-k Query Processing Techniques in Relational Database Systems, To appear in ACM Computing Surveys. A person looking for a house evaluates market offers by an aggregation of house price and tuition price in a school near to location. Nevertheless the price for house and tuition price cannot be simply added, the aggregation is, as in following SQL query