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Projective Market Model Approach to AHP Decision-Making

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  • Anna Szczypinska
  • Edward W. Piotrowski

Abstract

In this paper we describe market in projective geometry language and give definition of a matrix of market rate, which is related to the matrix rate of return and the matrix of judgements in the Analytic Hierarchy Process (AHP). We use these observations to extend the AHP model to projective geometry formalism and generalise it to intransitive case. We give financial interpretations of such generalised model and propose its simplification. The unification of the AHP model and projective aspect of portfolio theory suggests a wide spectrum of new applications such extended model.

Suggested Citation

  • Anna Szczypinska & Edward W. Piotrowski, 2007. "Projective Market Model Approach to AHP Decision-Making," Papers 0709.4358, arXiv.org, revised Nov 2007.
    • Handle: RePEc:arx:papers:0709.4358
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    2. Szczypińska, Anna & Piotrowski, Edward W., 2009. "Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.
    3. Wang, Jiang-Jiang & Jing, You-Yin & Zhang, Chun-Fa & Shi, Guo-Hua & Zhang, Xu-Tao, 2008. "A fuzzy multi-criteria decision-making model for trigeneration system," Energy Policy, Elsevier, vol. 36(10), pages 3823-3832, October.
    4. Jing, You-Yin & Bai, He & Wang, Jiang-Jiang, 2012. "A fuzzy multi-criteria decision-making model for CCHP systems driven by different energy sources," Energy Policy, Elsevier, vol. 42(C), pages 286-296.
    5. Edward W. Piotrowski & Jerzy Luczka, "undated". "The relativistic velocity addition law optimizes a forecast gambler's profit," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.

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