Fuzzy signed measure

Jun Tanaka

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arXiv · 0806.0033

Fuzzy signed measure

Jun Tanaka

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Abstract

we will define a fuzzy signed measure on $σ$-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 $A \wedge B $ is 0.

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Jun Tanaka. 2008-05-30. Fuzzy signed measure. https://arxiv.org/abs/0806.0033

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