Munich Personal RePEc Archive
Login | Create Account

Preference programming and inconsistent interval matrices

Islam, R; Biswal, MP and Alam, SS (1995): Preference programming and inconsistent interval matrices. Published in: European Journal of Operational Research , Vol. 97, No. 1 (1997): pp. 53-62.

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
924Kb

Abstract

The problem of derivation of the weights of altematives 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.

Item Type:MPRA Paper
Language:English
Keywords:Analytic hierarchy process; Interval judgment; Preferente programming
Subjects:C - Mathematical and Quantitative Methods > C0 - General
ID Code:10129
Deposited By:RAFIKUL ISLAM
Deposited On:26. Aug 2008 09:31
Last Modified:26. Aug 2008 09:31
References:

Arbel, A., “Approximate articulation of preferente and priority derivation”, European Journul of Operutionul Research 43 ( 1989) 3 17-326.

Arbel, A., and Vargas, L.G., “The analytic hierarchy process with interval judgments”, in: A. Goicoechea, L. Duckstein and S. Zionts (eds.), Multiple Criteria Decision Making, Springer-Verlag, New York ( 1992) 6 1-70.

Arbel, A., and Vargas, L.G., “Preferente simulation and preferente programming: Robustness issues in priority derivation”, Europeun Journul Of Operurionul Reseurch 69 (1993) 200-209.

Boender, C.G.E., de Graan, J.G., and Lootsma, F.A., “Multicriteria decision analysis with fuzzy pairwise comparisons”, Fuuy Sets und Systems 29 ( 1989) 133-143.

Buckley, J.J., “Fuzzy hierarchical analysis”, Fuzzy Sefs trnd Systems 17 (1985) 233-247.

Golden, B.L., Wasil, E.A., and Levy, D.E.. “Applications of the analytic hierarchy process: A categorized, annotated bibliography”, in: B.L. Golden et al. (eds.), The AnuLyfic Hierurchy Process: Applications and Studies, Springer- Verlag, Berlin, 1989, 37-58.

Hiimäläinen, R.P., Salo, A.A., and Pöysti, K., “Observationx about consensus in a multi-criteria environment”. in: J.F. Nunamaker and J.F. Sprague (eds.), Pmceedings ofthe 251h Hawuii Internarional Con&rence on System Science, Vol. IV. Hawaii, 1992, 190-195.

Ignizio, J.P., Lineur Progrumming in Single & Multiple Objecrive Systems, Prcntice Hall. New Jersey ( 1982).

Islam, R., Biswal, M.P., and Alam, S.S., “The effect of splitting objectives in the analytic hierarchy process”, Ricerctr Operutivu 24 ( 1994) 5-25.

Islam, R., Biswal. M.P., and Alam, S.S., “A simulation study of Saaty’s analytic hierarchy process”, in: P.K. Kapur 62 R. Islam et al./European Journal of Operational Research 97 (I997) 53-62 and V.K. Sehgal (eds.), Operations Research: Theory and Practice, Spaniel Pub]., New Delhi, 1995, SI. No. 14.

Kress, M., “Approximate articulation of preferente and priority derivation - A comment”, European Journal of Operatianal Research 52 ( 1991) 382-383.

Saaty, T.L., “A staling method for priorities in hierarchical structures”, Jaurnal of Marhematical Psychology 15 ( 1977)234-281.

Saaty, T.L., and Vargas, L.G., “Uncertainty and rank order in the analytic hierarchy process”, Eurapean Jaurnal af Operafianal Research 32 ( 1987) 107-117.

Salo, A.A., “lnconsistency analysis by approximately specifìed priorities”, Mathematica1 and Computer Madelling 17 (1993) 123-133.

Salo, A.A., and Hämähiinenn, RP., “Ambiguous preferente statements in the analytic hierarchy process”, Research Report A39, System Analysis Laboratory, Helsinki University of Technology, Finland, 1991.

Takeda, E., Cogger, K.O., and Yu, PL., “Estimating criteria weights using eigenvectors: A comparative study”, Eurapean Jaurnal of Operational Research 29 ( 1987) 360-369.

Van Laarhoven, PGM., and Pedrycz, W., “A fuzzy extension of Saaty’s priority theory”, Fuzzy Sets and Sysfems 1 1 ( 1983)229-241,

Vargas, L.G., “An overview of the analytic hierarchy process and its application”, European Journal of Operational Research 48 ( 1990) 2-8.

All papers reproduced by permission. Reproduction and distribution subject to the approval of the copyright owners.
Repository Staff Only: item control page

LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.