English

Fuzzy signed measure

Logic 2008-06-03 v1

Abstract

we will define a fuzzy signed measure on σ\sigma-algebras, as well as positive and negative sets. Herein, we will show that the Fuzzy Hahn Decomposition Theorem, which is a generalization of the classical Hahn Decomposition Theorem, decompose any space X into a positive set A and a negative set B such that A+B=X and the signed measure of ABA \wedge B is 0.

Cite

@article{arxiv.0806.0033,
  title  = {Fuzzy signed measure},
  author = {Jun Tanaka},
  journal= {arXiv preprint arXiv:0806.0033},
  year   = {2008}
}
R2 v1 2026-06-21T10:46:02.378Z