When should fuzzy analytic hierarchy process be used instead of analytic hierarchy process?

作者:

Highlights:

• This paper studies the conditions when there is difference between FAHP and AHP.

• Analytical based computational study is conducted to explore the conditions.

• Two necessary conditions for applying triangular fuzzy numbers in AHP are verified.

• A real world case is applied to illustrate the proposed research implication.

摘要

The analytic hierarchy process (AHP) has been widely applied in the last four decades, and a fuzzy logic version, the fuzzy AHP (FAHP), has also been employed in many studies since its formulation. However, it is not clear whether the FAHP is better than the AHP in terms of quality of the solution. First, the study demonstrates that the FAHP can provide a different solution than the AHP, regardless of which solution is better. However, it is also shown that such a difference does not provide an additional advantage over the AHP when a decision is proposed. Although the FAHP is a well-proven method, this study provides an insight on its practical applicability.

论文关键词:Multiple criteria analysis,Fuzzy sets,Analytic hierarchy process,Fuzzy AHP

论文评审过程:Received 8 January 2019, Revised 24 July 2019, Accepted 24 July 2019, Available online 30 July 2019, Version of Record 31 August 2019.

论文官网地址:https://doi.org/10.1016/j.dss.2019.113114