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

Author: Jun Tanaka

Source: https://arxiv.org/


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