The Improved Fuzzy Analytic Hierarchy Process

Abstract

In FAHP, discontinuous scale, such as 0.1-0.9 scale, is usually used to get fuzzy judgment matrix. But when evaluating system is complex or index systems are too many, we may get stuck in a comparison dilemma by using 0.1-0.9 scale, resulting in a fuzzy judgment matrix of poor consistency. This paper improved 0.1-0.9 scale and established 0-1 continuous scale. We first apply 0-1 three scales to get a comparison matrix, and then converted it into a fuzzy judgment matrix according to 0-1 continuous scale.

A new method for groundwater pollution investigation

“…Step 3: Calculate the evaluation index weights and the weight of each cell layer. The evaluation indicators are divided into qualitative and quantitative indicators in the calculation process, where the qualitative indicators are sequentially compared two by two and labelled based on the 1-9 scales and e 0/4 -e 8/4 scales; additionally, the quantitative indicators require the use of relevant calculation methods (Lee et al, 2018;Zhang et al, 2014), and the proposed formula is shown in equation ( 1).…”

A groundwater investigation method based on entropy weight of improved AHP

“…Step 3: Calculate the evaluation index weights and the weight of each cell layer. The evaluation indicators are divided into qualitative and quantitative indicators in the calculation process, where the qualitative indicators are sequentially compared two by two and labelled based on the 1-9 scales and e 0/4 -e 8/4 scales; additionally, the quantitative indicators require the use of relevant calculation methods (Lee et al, 2018;Zhang et al, 2014), and the proposed formula…”