On the hierarchical model PCbHA: a more general case

Fujun Hou

doi:10.1007/s00500-017-2594-7

On the hierarchical model PCbHA: a more general case

Fujun Hou^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The PCbHA is a rank preserved hierarchical decision model which comes from the weighted mean. This paper considers a more general case of this model where the sub-criteria can have more than one dominating criteria. We first show that this generalized PCbHA also originates from the weighted mean but in a more general way. We then prove the rank preservation property of the generalized model. Comparisons of the model with some existing models (mainly with the AHP and the multiplicative AHP) are also conducted. The result in this paper ensures the PCbHA’s adaptability to more practical needs.

Original language	English
Pages (from-to)	3745-3756
Number of pages	12
Journal	Soft Computing
Volume	22
Issue number	11
DOIs	https://doi.org/10.1007/s00500-017-2594-7
Publication status	Published - 1 Jun 2018

Keywords

Analytic hierarchy process (AHP)
Multiplicative AHP
Pairwise comparisons based hierarchical analytics (PCbHA)

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10.1007/s00500-017-2594-7

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abstract = "The PCbHA is a rank preserved hierarchical decision model which comes from the weighted mean. This paper considers a more general case of this model where the sub-criteria can have more than one dominating criteria. We first show that this generalized PCbHA also originates from the weighted mean but in a more general way. We then prove the rank preservation property of the generalized model. Comparisons of the model with some existing models (mainly with the AHP and the multiplicative AHP) are also conducted. The result in this paper ensures the PCbHA{\textquoteright}s adaptability to more practical needs.",

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AB - The PCbHA is a rank preserved hierarchical decision model which comes from the weighted mean. This paper considers a more general case of this model where the sub-criteria can have more than one dominating criteria. We first show that this generalized PCbHA also originates from the weighted mean but in a more general way. We then prove the rank preservation property of the generalized model. Comparisons of the model with some existing models (mainly with the AHP and the multiplicative AHP) are also conducted. The result in this paper ensures the PCbHA’s adaptability to more practical needs.

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On the hierarchical model PCbHA: a more general case

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Keywords

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