Analysis and Simulation of Geomagnetic Map Suitability Based on Vague Set. (18th April 2016)

• Record Type: Journal Article
• Authors: Wang, Lihui; Yu, Le; Qiao, Nan; Sun, Desheng
• Is Part Of: Journal of navigation. Volume 69:Number 5(2016)
• Page Start: 1114
• Page End: 1124
• Publication Date: 2016-04-18
• Subjects: Geomagnetic Map Features, -- Fuzzy Decision Making, -- Vague Set, -- Score Function Method; Navigation -- Periodicals; 623.8905
• DOI: 10.1017/S0373463316000199
• Languages: English
• ISSNs: 0373-4633

Abstract

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.