Article | Nordic MPS 2004. The Ninth Meeting of the Nordic Section of the Mathematical Programming Society | A Method for Approximating Symmetrically Reciprocal Matrices by Transitive Matrices

Title:
A Method for Approximating Symmetrically Reciprocal Matrices by Transitive Matrices
Author:
Geir Dahl: Center of Mathematics for Applications, University of Oslo, Norway
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Year:
2004
Conference:
Nordic MPS 2004. The Ninth Meeting of the Nordic Section of the Mathematical Programming Society
Issue:
014
Article no.:
010
No. of pages:
1
Publication type:
Abstract
Published:
2004-12-28
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


The problem of approximating symmetrically reciprocal matrices by transitive matrices has received some attention recently. This problem has applications in multicriteria decision theory. Several approximation approaches have been suggested and analyzed. We here suggest another approach; called the multiplicative approach. We show that the optimal approximation in this sense may be found efficiently by transforming the problem into a known combinatorial optimization problem (the minimum cycle mean problem) for which efficient and simple combinatorial algorithms exist.

Keywords: Transitive matrix; symmetrically reciprocal matrix; approximation

Nordic MPS 2004. The Ninth Meeting of the Nordic Section of the Mathematical Programming Society

Author:
Geir Dahl
Title:
A Method for Approximating Symmetrically Reciprocal Matrices by Transitive Matrices
References:
No references available

Nordic MPS 2004. The Ninth Meeting of the Nordic Section of the Mathematical Programming Society

Author:
Geir Dahl
Title:
A Method for Approximating Symmetrically Reciprocal Matrices by Transitive Matrices
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