Affiliations: [a] Department of Space Information Engineering, Henan College of Surveying and Mapping, Henan, China
| [b] Department of Remote Sensing Engineering, Henan College of Surveying and Mapping, Henan, China
Correspondence:
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Corresponding author. Huisheng Shi, Department of Remote Sensing Engineering, Henan College of Surveying and Mapping, Zhengzhou 450000, Henan, China. E-mail: newoo8@163.com.
Abstract: With the wide application of fuzzy mathematics in various fields of life, fuzzy mathematics has shown its strong vitality in many disciplines, such as civil architecture, environmental protection, medical science, operations management, chemical industry and so on. With the increasing depth of research issues, various disciplines are also constantly intersecting. Fuzzy mathematics is gradually being combined with other analytical methods. The purpose of this paper is to discuss the application of fuzzy mathematics in cartography. Through the quota selection model and the structure selection model, the membership function, the equal ratio sequence method, and other fuzzy mathematics methods are applied to the river map making. Through the above methods, it is concluded that they can solve many kinds of problems, including the study of the geographical distribution of cartographic objects, cartographic selection, mutual relations, and evaluation and prediction models. Therefore, it can be concluded that the concept of fuzzy mathematics is applied to cartographic generalization. Fuzzy mathematics can deal with this kind of fuzziness better, which makes cartographic generalization possible to use more map information. It also provides a new means for the study of cartographic generalization. At the same time, it also provides a new research way for map database and automatic mapping. The accuracy of the experimental method in this paper is 5% higher than that of traditional mathematical cartography; it tends to restore the truth.
Keywords: Fuzzy mathematics, mapping, equal ratio series, comprehensive evaluation
