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A mathematical programming model for the fuzzy analytic network process—applications of international investment

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  • J-J Huang

    (Soochow University, Taipei, Taiwan)

Abstract

Currently, the analytic network process (ANP) method is widely employed to consider the multiple criteria analysis problems with dependence and feedback effects. However, in order to extend the ANP to resolve the problem of uncertainty or human subjective judgment, the concepts of fuzzy numbers should be incorporated into the ANP to represent the subjective uncertain pairwise judgments. In this paper, therefore, we propose a novel fuzzy analytic network process (FANP) model by solving a mathematical programming problem. Unlike other FANPs, the proposed method does not require the reciprocity assumption of the weight ratios between criteria, and it can derive local and global weights simultaneously in a single model. Two numerical examples of international investment problems are used to demonstrate the proposed method.

Suggested Citation

  • J-J Huang, 2012. "A mathematical programming model for the fuzzy analytic network process—applications of international investment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1534-1544, November.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:11:p:1534-1544
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    Cited by:

    1. Jih-Jeng Huang & Chin-Yi Chen, 2024. "A Generalized Method for Deriving Steady-State Behavior of Consistent Fuzzy Priority for Interdependent Criteria," Mathematics, MDPI, vol. 12(18), pages 1-16, September.

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