A decision support model for multi-attribute group decision making using a multi-objective optimization approach

Jian Xiong,Jing Liu,Kewei Yang,Yingwu Chen

doi:10.1080/18756891.2013.769781

Abstract

Abstract The multi-attribute group decision making (MAGDM) problem has received considerable attention in the decision analysis field and fruitful achievements have been reported in the literature. This paper focuses on the MAGDM in which the subjective absolute judgement on alternatives with respect to evaluating attributes are represented by fuzzy numbers. This paper employs the consensus degree to measure the agreement level of a MAGDM solution and develops a new measure degree–departure degree to evaluate how far the decision makers from their initial decision preferences. Based on these two conflicting measure degrees, the decision process of MAGDM is modelled as a multi-objective optimization problem. A decision support model (DSM) for MAGDM is proposed. The proposed DSM, incorporating five implementing phases, aims at obtaining acceptable decision solution(s) by solving the multi-objective optimization problem and conducting an interactive procedure with decision makers. In case study, this paper t...

Highlights

With the increase of complexity, most decision making problems involve multiple decision makers (DMs) and multiple evaluating attributes
The aim of this paper is to develop a decision support model (DSM) for Multi-Attribute Group Decision Making (MAGDM) based on a multi-objective optimization process where two types of measurements—consensus degree and departure degree are taken as the optimization objectives
We introduce departure degree as another measurement to the decision solution, the decision process is modeled as a multi-objective optimization process which simultaneously considers the maximization of consensus degree and the minimization of departure degree

Summary

Introduction

With the increase of complexity, most decision making problems involve multiple decision makers (DMs) and multiple evaluating attributes. Such kind of problems are referred to as Multi-Attribute Group Decision Making (MAGDM) problems.The. MAGDM has been extensively studied and applied in various areas and practices[1,2,3,4,5,6]. Despite diversity of decision approaches used, the MAGDM mainly focuses on two aspects:(1) evaluating alternatives with respect to the multiple attributes and (2) obtaining the group (collective) decision result. Co-published by Atlantis Press and Taylor & Francis Copyright: the authors 337 s and for the performance ratings of the alternatives on attributes may involve two types of judgement: comparative judgement and absolute judgement [7,8]. Considerable efforts have been attached to the MAGDM with inaccurate or incomplete information and many approaches to solve this problem have been reported in the existing literature [11,10,5,12,13,14,15,16,17,18,19]

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Methods

Conclusion