Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Integer Programming Model for Binary Knapsack Problem with
  Value-Related Dependencies among Elements   Binary Knapsack Problem (BKP) is to select a subset of an element (item) set
with the highest value while keeping the total weight within the capacity of
the knapsack. This paper presents an integer programming model for a variation
of BKP where the value of each element may depend on selecting or ignoring
other elements. Strengths of such Value-Related Dependencies are assumed to be
imprecise and hard to specify. To capture this imprecision, we have proposed
modeling value-related dependencies using fuzzy graphs and their algebraic
structure.

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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: astro-ph