Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gradient method for inconsistency reduction of pairwise comparisons
  matrices   We investigate an application of a mathematically robust minimization method
-- the gradient method -- to the consistencization problem of a pairwise
comparisons (PC) matrix. Our approach sheds new light on the notion of a
priority vector and leads naturally to the definition of instant priority
vectors. We describe a sample family of inconsistency indicators based on
various ways of taking an average value, which extends the inconsistency
indicator based on the "$\sup$"- norm. We apply this family of inconsistency
indicators both for additive and multiplicative PC matrices to show that the
choice of various inconsistency indicators lead to non-equivalent
consistencization procedures.

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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an