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Analysis and Simulation of Geomagnetic Map Suitability Based on Vague Set.

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Bibliographic Details
Title: Analysis and Simulation of Geomagnetic Map Suitability Based on Vague Set.
Authors: Lihui Wang1 wlhseu@163.com, Le Yu1, Nan Qiao1, Desheng Sun2
Source: Journal of Navigation. Sep2016, Vol. 69 Issue 5, p1114-1124. 11p.
Subjects: Geomagnetic maps, Fuzzy decision making, Entropy (Information theory), Mathematical optimization, Test scoring
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:03734633
DOI:10.1017/S0373463316000199