Using AHP and L.P. for choosing the best alternatives based the gap analysis

• Published in: Applied mathematics and computation Vol. 184; no. 2; pp. 316 - 321
• Main Authors: Ghazinoory, S., Aliahmadi, A., Namdarzangeneh, S., Ghodsypour, S.H.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 15-01-2007; Elsevier
• Subjects: AHP; Applied sciences; Calculus of variations and optimal control; Exact sciences and technology; Gap analysis; Linear programming; Mathematical analysis; Mathematical programming; Mathematics; Operational research and scientific management; Operational research. Management science; Sciences and techniques of general use; Linear programming; AHP; Gap analysis; Numerical analysis; Applied mathematics; Analytic hierarchy process
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2006.05.178

Analytic Hierarchy Process is a well-known method that is only able to rank different alternatives according to their AHP weights, but it does not determine the necessary threshold for discriminate between acceptable and unacceptable alternatives. In the other words, it does not lead the DM to choose the alternatives that have higher weights than the threshold. In this paper, we introduce a new method by which we are able to accept/reject alternatives based on AHP weights. The proposed method determines the necessary threshold by comparing the anticipated status with the desired status of alternatives and using LP and AHP combination for it.