Premium
Pairwise agreement of gradient directions in interactive multicriterion optimization
Author(s) -
Troutt Marvin D.
Publication year - 1994
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/mcda.4020030304
Subject(s) - pairwise comparison , dimension (graph theory) , computer science , space (punctuation) , mathematical optimization , operations research , mathematics , statistical physics , algorithm , artificial intelligence , physics , combinatorics , operating system
Statistical tests involving mean directions have in the past been limited to two‐ and three‐dimensional settings, perhaps owing to their primary applications to such fields as geology, meteorology and related earth sciences. In the study of interactive multicriterion optimization it becomes necessary to compare gradient directions obtained from decision makers by two or more methods. Typically these direction vectors are in a higher‐dimensional space. This paper provides a general procedure based on Householder transformations which is potentially suitable for any finite dimension. An illustration and comparison of the method are provided.