Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compatible extensions and consistent closures: a fuzzy approach   In this paper $\ast$--compatible extensions of fuzzy relations are studied,
generalizing some results obtained by Duggan in case of crisp relations. From
this general result are obtained as particular cases fuzzy versions of some
important extension theorems for crisp relations (Szpilrajn, Hansson,
Suzumura). Two notions of consistent closure of a fuzzy relation are
introduced.

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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: econ