A MIN–MAX GOAL PROGRAMMING APPROACH TO PRIORITY DERIVATION IN AHP WITH INTERVAL JUDGEMENTS

Dimitris K. Despotis () and Dimitris Derpanis
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Dimitris K. Despotis: Department of Informatics, University of Piraeus, 80 Karaoli & Dimitriou Str., Piraeus 18534, Greece
Dimitris Derpanis: Department of Informatics, University of Piraeus, 80 Karaoli & Dimitriou Str., Piraeus 18534, Greece

International Journal of Information Technology & Decision Making (IJITDM), 2008, vol. 07, issue 01, 175-182

Abstract: We deal with the problem of priority elicitation in the analytic hierarchy process (AHP) on the basis of imprecise pair-wise comparison judgements on decision elements. We propose a min–max goal programming formulation to derive the AHP priorities in the case that the decision maker provides preference judgements in the form of interval numbers. By applying variable transformations, we formulate a linear programming model that is capable of estimating the priorities from both consistent and inconsistent interval judgements. The proposed method is illustrated by numerical examples.

Keywords: Analytic hierarchy process; priority setting; interval judgements; Goal programming (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S0219622008002867

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