Semi-copulas, capacities and families of level sets

Authors:
Fabrizio Durante;Fabio Spizzichino
Affiliations:
Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040 Linz, Austria;Department of Mathematics, Università “La Sapienza”, I-00185 Rome, Italy
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

We point out how capacities (non-additive measures) can be used to provide explanations about the concept of bivariate ageing function. The latter had been introduced to describe the family of the level sets of a survival function and motivated the interest toward the concept of semi-copula.