Deriving and comparing priority vectors for revised‐leachate pollution index (r‐LPI) using three fuzzy analytic hierarchy process

Abstract

The revised leachate pollution index (r-LPI) developed using the fuzzy Delphi analytical hierarchy process (FDAHP) is a technique to quantify the contamination potential of landfill leachate. The steps involved in the formulation of the r-LPI were the selection of parameters using the fuzzy Delphi method (FDM), computing relative weights of the parameters using the fuzzy analytic hierarchy process (FAHP), development of sub-index curves, and finally, aggregation of sub-indices. The calculation of the weights of the parameters has been one of the most crucial steps in the formulation of any index. The analytical hierarchy process (AHP) has been one of the most widely used methods for weight calculation. However, it was observed that the traditional AHP is inadequate to deal with the imprecise or ambiguous nature of linguistic evaluation. It also involves human subjectivity, which induces ambiguity and entails the use of decision-making with uncertainty. The fuzzy AHP method was used in this study to overcome this difficulty. Three significant issues pertinent and essential to fuzzy AHP were addressed: contradictions in expert judgment, deriving priorities from inconsistent fuzzy judgment matrices, and group decision-making. In this study, three FAHP methods: Chang's extent analysis (EA) method, fuzzy preference programming (FPP), and logarithmic fuzzy preference programming (LFPP) were used to calculate the weights of the r-LPI parameters. The results of these methods were then compared, and it was determined that LFPP was the most suitable method for calculating the weights of the r-LPI parameters.

Characterization of Leachate and Assessment of the Leachate Pollution Index – A Study of the Controlled Landfill in Fez

“…To calculate the leachate pollution index, involves selecting variables, deriving weights for the selected pollutant variables, formulating their sub-indices curves, and finally aggregating the pollutant variables to arrive at the LPI, one should use the sub-indices (SI) that have already been calculated for each parameter , Bisht, 2023. The general formula (Formula 1) for LPI is:…”

A Guide to Integrating Expert Opinion and Fuzzy AHP When Generating Weights for Composite Indices

“…is has led many scholars to come up with innovative methods on how to address the weighting problem. One such method is by integrating expert opinion with the FAHP method as achieved by Gopal and akkar [27]; Kashani et al [28]; Bisht et al [29]; and others. However, many of the studies that adopt this approach fail to address the uncertainty and inconsistency of the expert responses, and the replicability of their methodologies for other composite indices is questionable.…”

“…Another study that integrates expert opinion with FAHP is that by Bisht et al [29] who sought expert opinion using a linguistic scale and transformed the expert responses into fuzzy sets and subsequent fuzzy weights for a revised leachate pollution index (r-LPI). e authors adopt three FAHP methods: extent analysis [13], nonlinear fuzzy preference programming (FPP) [16], and logarithmic fuzzy preference programming (LFPP) [30].…”