• TUCS Publication Series
• How to Publish in TUCS Series
• Publication Search
• Publication Graph
• Publication Input
• Publication Input Guide
• JuFo Browser

On the Normalisation of a Priority Vector Associated with a Reciprocal Relation

Michele Fedrizzi, Matteo Brunelli, On the Normalisation of a Priority Vector Associated with a Reciprocal Relation. International Journal of General Systems 38(5), 579–586, 2009.

Abstract:

In this paper, we show that the widely used normalisation constraint to add components up to one does not apply to the priority vectors associated with reciprocal relations, also called fuzzy preference relations, whenever additive transitivity is involved.We show that misleading applications of this type of normalisation may lead to unsatisfactory results and we give some examples from the literature. Then, we propose an alternative normalisation procedure which is compatible with additive transitivity and leads to better results

BibTeX entry:

@ARTICLE{jFeBr09b,
  title = {On the Normalisation of a Priority Vector Associated with a Reciprocal Relation},
  author = {Fedrizzi, Michele and Brunelli, Matteo},
  journal = {International Journal of General Systems},
  volume = {38},
  number = {5},
  pages = {579–586},
  year = {2009},
  keywords = {reciprocal relation; fuzzy preference relation; priority vector; normalisation},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

Publication Forum rating of this publication: level 1

Edit publication