Extension of grey relational analysis for facilitating group consensus to oil spill emergency management

Abstract

Emergency management with oil spill is a very complex decision problem. This paper targets efforts to propose and develop a new technology: an extension of grey relational analysis for facilitating group consensus model to deal with this problem. In this model, firstly, two parts of the extension of grey relational analysis are presented and proposed. One is to simultaneously compute grey relational degree to positive reference sequence (PRS) and negative reference sequence (NRS), on the basis of the basic concept of a relative closeness degree of TOPSIS. The other is to determine index weights by a developed mathematical optimization model implemented by Matlab 2012a, which also matches the basic concept of the first part of the extension. Secondly, a group consensus facilitation method based on three-dimension leg-mark selected location method is proposed to aggregate individual preferences in order to address the problem of ranking inconsistency during the evaluation of multi-criteria decision making methods. What’s more, the calculation steps and processes of n-dimension leg-mark selected location method for facilitating group consensus are given and explored. A simulation case study on oil spill emergency management demonstrates and verifies the feasibility and effectiveness of our proposed model by comparative analysis with the previous research papers.