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The Effect of Scale Ranges on Priorities and Discrimination Level of Alternatives in Analytic Hierarchy Process (AHP)


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1 Saipa Yadak, Iran, Islamic Republic of
     

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In this paper, we first reviews different measurement scales (Linear, Power, Geometric, Logarithmic, Root square, Inverse linear, and Balanced) adopted in Analytic Hierarchy Process (AHP). then, with reduction of different measurement scale ranges to: left position (i.e., for linear measurement scale: 1-3), middle position (4-6), right position (7-9), left&middle position (1-6), middle&right position (4-9), and perfect ranges (1-9), the effects of different measurement scale on priorities and discrimination level (to discriminate an important alternative from others) of alternatives are investigated. The findings of this paper reveal that first, in 39 possibilities out of 42 cases, the same ranking (A1>A2>A3) with different intensities were obtained, and in 3 possibilities rank reversal are happened. Next, the geometric measurement scale in all ranges and particularly in perfect range have the best performance in discriminating an important alternative than others. Moreover, only the left position and perfect ranges in the most of measurement scales have the best performance in discriminating an important alternative from others.

Keywords

Analytic Hierarchy Process (AHP), Measurement Scale, Scale Ranges, Discrimination Level.
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  • The Effect of Scale Ranges on Priorities and Discrimination Level of Alternatives in Analytic Hierarchy Process (AHP)

Abstract Views: 234  |  PDF Views: 1

Authors

Mohammad Azadfallah
Saipa Yadak, Iran, Islamic Republic of

Abstract


In this paper, we first reviews different measurement scales (Linear, Power, Geometric, Logarithmic, Root square, Inverse linear, and Balanced) adopted in Analytic Hierarchy Process (AHP). then, with reduction of different measurement scale ranges to: left position (i.e., for linear measurement scale: 1-3), middle position (4-6), right position (7-9), left&middle position (1-6), middle&right position (4-9), and perfect ranges (1-9), the effects of different measurement scale on priorities and discrimination level (to discriminate an important alternative from others) of alternatives are investigated. The findings of this paper reveal that first, in 39 possibilities out of 42 cases, the same ranking (A1>A2>A3) with different intensities were obtained, and in 3 possibilities rank reversal are happened. Next, the geometric measurement scale in all ranges and particularly in perfect range have the best performance in discriminating an important alternative than others. Moreover, only the left position and perfect ranges in the most of measurement scales have the best performance in discriminating an important alternative from others.

Keywords


Analytic Hierarchy Process (AHP), Measurement Scale, Scale Ranges, Discrimination Level.

References