Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fuzzy signed measure   we will define a fuzzy signed measure on $\sigma$-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 $A \wedge B $ is 0.

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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys