Maxitive Integral of Real-Valued Functions

Cattaneo, Marco E. G. V.

Abstract

The paper pursues the definition of a maxitive integral on all real-valued functions (i.e., the integral of the pointwise maximum of two functions must be the maximum of their integrals). This definition is not determined by maxitivity alone: additional requirements on the integral are necessary. The paper studies the consequences of additional requirements of invariance with respect to affine transformations of the real line. © Springer International Publishing Switzerland 2014.

Citation

Cattaneo, M. E. G. V. Maxitive Integral of Real-Valued Functions

• Presentation Conference Type: Conference Paper (published)
• Publication Date: Jan 1, 2014
• Deposit Date: Jun 29, 2018
• Journal: Communications in Computer and Information Science
• Electronic ISSN: 1865-0937
• Peer Reviewed: Peer Reviewed
• Volume: 442 CCIS
• Issue: PART 1
• Pages: 226-235
• Series ISSN: 1865-0929
• ISBN: 9783319087948
• DOI: https://doi.org/10.1007/978-3-319-08795-5_24
• Keywords: Maxitive measures; Nonadditive integrals; Location and scale invariance; Shilkret integral convexity; Subadditivity
• Public URL: https://hull-repository.worktribe.com/output/901288
• Publisher URL: https://link.springer.com/chapter/10.1007%2F978-3-319-08795-5_24