Papers
Preference programming and inconsistent interval judgment matrices
Author(s)Rafikul Islam
International Islamic University Malaysia
Malaysia
M.P. Biswal
Indian Institute of Technology
India
S.S. Alam
Indian Institute of Technology Department of Mechanical Engineering
India
Publication date: Feb, 1997
Journal: European Journal of Operational ResearchVol.: 97- Issue: 1- Pages: 53-62
Publisher: Elsevier
Abstract: The problem of derivation of the weights of alternatives from pairwise comparison matrices is long standing. In this paper, Lexicographic Goal Programming (LGP) has been used to find out weights from pairwise inconsistent interval judgment matrices. A number of properties and advantages of LGP as a weight determination technique have been explored. An algorithm for identification and modification of inconsistent bounds is also provided. The proposed technique has been illustrated by means of numerical examples.
Keywords: AHP, Interval judgment, Preference programming