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A linkage between the Analytic Hierarchy Process and the Compromise Programming Models

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  • Escobar, María Teresa
  • Moreno-Jiménez, José María

Abstract

In the search for a unifying theory in the field of multicriteria decision making, we establish a relationship in the discrete case between two of the most extended multicriteria decision making approaches, namely the Analytic Hierarchy Process (AHP) and the Compromise Programming (CP) Models. In order to link them, we consider a hierarchical modelling of the CP where the order of the norm equals one, and we employ the regret associated with the AHP priorities measured in absolute terms. This regret can be considered as the anchor that allows us to link the relativity of the AHP with the goal-seeking behaviour of the CP. In general, the establishment of a unified framework in this field may clarify the controversies that exist between the different schools of thought, which will undoubtedly result in the improvement of both the theoretical and practical applications.

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  • Escobar, María Teresa & Moreno-Jiménez, José María, 2002. "A linkage between the Analytic Hierarchy Process and the Compromise Programming Models," Omega, Elsevier, vol. 30(5), pages 359-365, October.
    • Handle: RePEc:eee:jomega:v:30:y:2002:i:5:p:359-365
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    References listed on IDEAS

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    8. María Escobar & José Moreno-Jiménez, 1997. "The Hierarchical compromise programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(2), pages 253-281, December.
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    Cited by:

    1. JosÉ MarÍa & Moreno JimÉnez & Juan AguarÓn Joven & AgustÍn Raluy Pirla & Alberto TurÓn Lanuza, 2005. "A Spreadsheet Module for Consistent Consensus Building in AHP-Group Decision Making," Group Decision and Negotiation, Springer, vol. 14(2), pages 89-108, March.
    2. Serafim Opricovic, 2009. "A Compromise Solution in Water Resources Planning," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(8), pages 1549-1561, June.
    3. Baskaran, Venkatesan & Nachiappan, Subramanian & Rahman, Shams, 2012. "Indian textile suppliers' sustainability evaluation using the grey approach," International Journal of Production Economics, Elsevier, vol. 135(2), pages 647-658.
    4. Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2007. "AHP-Group Decision Making: A Bayesian Approach Based on Mixtures for Group Pattern Identification," Group Decision and Negotiation, Springer, vol. 16(6), pages 485-506, November.

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