Products of Capacities Derived from Additive Measures

Abstract

One of the unanswered questions in non-additive measure theory is how to define product of non-additive measures. Most of the approaches that have already been presented only work for discrete measures. In this paper a new approach is presented for not necessarily discrete non-additive measures that are in a certain relation with additive measures, usually this means that they are somehow derived from the additive measures.

Keywords:

• capacities
• distorted measures
• increasing capacities
• non-additive measures
• products of capacities

ACKNOWLEDGEMENT

An extended abstract of this paper (Škulj, 2003) was presented at ISIPTA 2003 conference in Lugano, Switzerland.