About a definition of metric over an abelian linearly ordered group

Authors

  • Bice Cavallo University Federico II, Naples, Italy
  • Livia D’Apuzzo University Federico II, Naples, Italy

Keywords:

G-metric, abelian linearly ordered group, multi-criteria decision making.

Abstract

A G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G.

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Published

2012-06-10

Issue

Vol. 22 (2012)

Section

Volume 22-2012

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