English

Generalized decomposition integral of real functions with respect to fuzzy measures

Functional Analysis 2025-07-24 v1

Abstract

In this paper we define a type of generalized Riemann-Lebesgue (decomposition) integral for non-negative real functions with respect to two non-additive set functions. For this integral we present some classical properties.

Keywords

Cite

@article{arxiv.2507.17237,
  title  = {Generalized decomposition integral of real functions with respect to fuzzy measures},
  author = {Anca Croitoru and Alina Iosif and Anna Rita Sambucini},
  journal= {arXiv preprint arXiv:2507.17237},
  year   = {2025}
}

Comments

17 pages