A Choquet Integral with DEMATEL-based Method for Coastal Erosion Decision Problem

Abstract

Background/Objectives: This study aims to investigate the cause-effect relationship risk factors associated to coastal erosion decision problem using a decision model based on Choquet integral and Decision-making Trial and Evaluation Laboratory (DEMATEL) method. Methods/Statistical Analysis: In this study, DEMATEL method is used to determine the cause-effect diagram of the risk factor. DEMATEL is known as one of the tools in dealing with digraph visualization of the degree importance for factor influence. Meanwhile, a Choquet integral is used to yield the aggregation among the subjective preference judgement made by the decision makers based on normal capacity. The process of combining a several preference values into a single value is called as an aggregation process. Findings: The Choquet integral DEMATEL-based approach is applied to coastal erosion decision problem to evaluate both interactive and causal relationship of the risk factors. There are two phases involve in this method. The first phase is to illustrate the relationship digraphs of selected risk factors and the implementation of weighted eigenvector matrix comparison in DEMATEL based method. The second phase takes into aggregation of the multi-criteria decision risk factors by fuzzy measure and Choquet integral to obtain the integrated weights value. From the study, it is indicated that shoreline changes has the highest score of Choquet integral by 1.8198 that contribute the most to the coastal erosion followed by relative sea level rise (1.5791), climate change (1.1917) and wave condition (0.9315). Application/Improvements: The feasibility of the developed method can be used to improve the risk factors of coastal erosion management and assessment.