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**Approximate articulation of preference and priority derivation.**
*(English)*
Zbl 0697.90003

Summary: This paper presents an approach aimed at expanding the capabilities of encoding and processing of preference articulation in the Analytic Hierarchy Process (AHP). Assessment of preference in the AHP is done by asking pairwise comparison questions about strength of preference between subjects of comparison. If preference can be articulated by a single value taken from the 1-9 preference scale, then one proceeds to fill a comparison matrix and derives the priority vector given as the principal eigenvector of that matrix. While asking the decision maker to provide pairwise preference statements is easy to implement in most cases, this process may be met with some resistance in other cases. This resistance on the part of the decision maker does not necessarily stem from his reluctance to apply the AHP, or any other analytical approach, but rather reflects in most cases his own uncertainty as to the correct level of intensity to be assigned to a particular preference question. In these cases one may be motivated to consider approaches where the decision maker is allowed to state his preference as a range of scale values. This paper explores the question of approximate articulation of preference values encountered when the decision maker prefers to state his strength of preference as a range of scale value rather than a single ‘precise’ value.

### MSC:

91B06 | Decision theory |

90C31 | Sensitivity, stability, parametric optimization |

90B50 | Management decision making, including multiple objectives |

### Keywords:

multiple criteria decision making; Analytic Hierarchy Process; approximate articulation of preference values
Full Text:
DOI

### References:

[1] | (Harker, P. T., The analytic hierarchy process. The analytic hierarchy process, Socio-Economic Planning Sciences, 20/6 (1986)), (Special issue) · Zbl 0626.90001 |

[2] | Harker, P. T.; Vargas, L. G., The theory of ratio scale estimates: Saaty’s analytic hierarchy process, Management Science, 33/11, 1383-1403 (1987) |

[3] | (Saaty, R. W.; Vargas, L. G., The analytic hierarchy process: Theoretical developments and some applications. The analytic hierarchy process: Theoretical developments and some applications, Mathematical Modeling, 9/3-5 (1987)), (Special issue) |

[4] | Saaty, T. L., The Analytic Hierarchy Process (1980), McGraw-Hill · Zbl 1176.90315 |

[5] | Saaty, T. L., Multicriteria Decision Making: The Analytic Hierarchy Process (1988), RSW Publications · Zbl 1176.90315 |

[6] | Saaty, T. L., Decision Making for Leaders (1982), Lifetime Learning Publications: Lifetime Learning Publications Belmont, CA |

[7] | Saaty, T. L.; Vargas, L. G., The Logic of Priorities (1982), Kluwer-Nijhoff Publishing · Zbl 0792.92007 |

[8] | Saaty, T. L.; Vargas, L. G., Uncertainty and rank order in the analytic hierarchy process, European Journal of Operational Research, 32, 107-117 (1987) · Zbl 0632.90002 |

[9] | Zahedi, F., The analytic hierarchy process—A survey of the method and its applications, Interfaces, 16, 96-108 (1986) |

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