An Evaluating Method with Combined Assigning-Weight Based on Maximizing Variance

Liu Hongjiu,Hu Yanrong

doi:10.1155/2015/290379

Abstract

This paper proposes a combined assigning-weight approach to determine attribute weights in the multiattribute decision problems. The approach combines subjective weights and objective weights of attributes based on maximizing variance. Objective weights are determined by rough set method and subjective weights by Analytic Hierarchy Process. This new combination method may integrate the merits of both subjective and objective weighting methods. Empirical study shows that the new method can lead to more reasonable weighting results and decision.

Highlights

During the process of multiattribute decisions, it is necessary to establish a set of index systems for evaluating attributes and determine relative weights for the attributes
We will study a combined assigning-weight method based on maximizing variance to determine attribute weights, where objective weights of attributes are determined by rough set theory and subjective weights by Analytic Hierarchy Process (AHP)
Two is that AHP solves the problem that it is difficult to judge relative importance of multiple factors according to the idea of pairwise comparison

Summary

Introduction

During the process of multiattribute decisions, it is necessary to establish a set of index systems for evaluating attributes and determine relative weights for the attributes. Objective assigning-weight method takes advantage of information of each attribute to determine weights of attributes It does not depend on subjective judgment of decision-makers to assign the weights. We will study a combined assigning-weight method based on maximizing variance to determine attribute weights, where objective weights of attributes are determined by rough set theory and subjective weights by AHP. AHP requires decision-makers to judge relative importance of every index in a hierarchy and calibrate number for the judgment to form judge matrix. Two is that AHP solves the problem that it is difficult to judge relative importance of multiple factors according to the idea of pairwise comparison. Because AHP can solve the sequencing problem of indexes in complex system, it is widely used in many fields

Determine Objective Weights for Attributes Based on Rough Set

Empirical Analysis

Conclusions