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Analysis and Simulation of Geomagnetic Map Suitability Based on Vague Set

Published online by Cambridge University Press:  18 April 2016

Lihui Wang ,
Le Yu ,
Nan Qiao  and
Desheng Sun
Lihui Wang*
Affiliation:
(Key Laboratory of Micro-inertial Instrument and Advanced Navigation Technology, Ministry of Education, School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China)
Le Yu
Affiliation:
(Key Laboratory of Micro-inertial Instrument and Advanced Navigation Technology, Ministry of Education, School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China)
Nan Qiao
Affiliation:
(Key Laboratory of Micro-inertial Instrument and Advanced Navigation Technology, Ministry of Education, School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China)
Desheng Sun
Affiliation:
(Beijing Institute of Aerospace Control Devices, Beijing 100039, China)
*
(E-mail: wlhseu@163.com)
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Abstract

An evaluation method named vague set is proposed to describe the suitability of a geomagnetic map. It is based on the Fuzzy Decision Making (FDM) method, and overcomes the FDM model's shortcomings that favouring and opposing content cannot be taken into account simultaneously. The membership function and non-membership function are used to define the influence of the geomagnetic map parameters on map suitability, including standard deviation, information entropy, roughness and slope variance. The weight of each geomagnetic map parameter is calculated by establishing an optimisation model. Vague set data are divided into four types after classification, and Weighted Score Function Values (WSFVs) of matching areas are obtained by using the Weighted Score Function (WSF) method. Then, WSFV of each matching area are compared to select an optimal area. Simulation results demonstrate that geomagnetic map suitability is positively proportional to the function value, and matching error is negatively proportional to the WSFV of the matching area.

Keywords

Geomagnetic Map FeaturesFuzzy Decision MakingVague SetScore Function Method
Type
Research Article
Information
The Journal of Navigation , Volume 69 , Issue 5 , September 2016 , pp. 1114 - 1124
Copyright
Copyright © The Royal Institute of Navigation 2016 

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