Transform for Simplified Weight Computations in the Fuzzy Analytic Hierarchy Process

  • Manju PandeyEmail author
  • Nilay Khare
  • S. Shrivastava
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 182)


A simplified procedure for weight computations from the pair-wise comparison matrices of triangular fuzzy numbers in the fuzzy analytic hierarchy process is proposed. A transform T:R3→R1 has been defined for mapping the triangular fuzzy numbers to equivalent crisp values. The crisp values have been used for eigenvector computations in a manner analogous to the computations of the original AHP method. The objective is to retain both the ability to capture and deal with inherent uncertainties of subjective judgments, which is the strength of fuzzy modeling and the simplicity, intuitive appeal, and power of conventional AHP which has made it a very popular decision making tool.


Fuzzy AHP Triangular Fuzzy Number Fuzzy Synthetic Extent Weight Vector Eigenvector Decision Making Optimization Decision Making 


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Computer ApplicationsNIT RaipurRaipurIndia
  2. 2.Department of Computer Science and EngineeringMANIT BhopalBhopalIndia

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