TY - GEN
T1 - Some linear programming models for obtaining the priority vector of interval multiplicative preference relations
AU - Du, Jun Hui
AU - Wei, Fa Jie
PY - 2008
Y1 - 2008
N2 - Interval multiplicative preference relation is very useful in expressing decision maker's preferences on alternatives under uncertain preference information. How to derive priorities from a interval multiplicative preference relation is an interesting and important issue in decision making.In this paper, we first define the concepts of interval multiplicative preference relations, consistent interval multiplicative preference relations, and then propose some simple and practical linear programming models, based on consistent interval multiplicative preference relations for obtaining the priority vector of interval multiplicative preference relations.These linear programming models are also extended to obtain the collective priority vector of several interval multiplicative preference relations. Finally, the proposed models are tested and examined with two numerical examples and prove to be simple, effective and practical.
AB - Interval multiplicative preference relation is very useful in expressing decision maker's preferences on alternatives under uncertain preference information. How to derive priorities from a interval multiplicative preference relation is an interesting and important issue in decision making.In this paper, we first define the concepts of interval multiplicative preference relations, consistent interval multiplicative preference relations, and then propose some simple and practical linear programming models, based on consistent interval multiplicative preference relations for obtaining the priority vector of interval multiplicative preference relations.These linear programming models are also extended to obtain the collective priority vector of several interval multiplicative preference relations. Finally, the proposed models are tested and examined with two numerical examples and prove to be simple, effective and practical.
KW - Consistent interval multiplicative preference relations
KW - Interval multiplicative preference relation
KW - Linear programming models
KW - Priority vector
UR - https://www.scopus.com/pages/publications/57649236067
U2 - 10.1109/ICMSE.2008.4668916
DO - 10.1109/ICMSE.2008.4668916
M3 - 会议稿件
AN - SCOPUS:57649236067
SN - 9781424423873
T3 - 2008 International Conference on Management Science and Engineering 15th Annual Conference Proceedings, ICMSE
SP - 199
EP - 204
BT - 2008 International Conference on Management Science and Engineering 15th Annual Conference Proceedings, ICMSE
T2 - 2008 International Conference on Management Science and Engineering 15th Annual Conference, ICMSE
Y2 - 10 September 2008 through 12 September 2008
ER -