高阶模糊地理现象建模和度量研究  

Modeling and Metrics of Higher Order Fuzzy Geographical Phenomena

作　　者：郭继发[1] 崔伟宏[2] 

机构地区：[1]天津师范大学城市与环境科学学院,天津300387 [2]中国科学院遥感应用研究所,北京100101

出　　处：《测绘学报》2012年第1期139-146,共8页Acta Geodaetica et Cartographica Sinica

基　　金：国家科技支撑计划(2008BAK50B01);国家自然科学基金(41101352);天津师范大学博士基金(52XB1008);天津师范大学空间信息服务重点实验室基金(53H10070)

摘　　要：模糊地理现象的建模和度量方法已经取得一些进展,但是现有的模型不能度量隶属度的误差,不足以客观描述复杂的模糊地理现象。认为尺度效应和测量误差是客观上引起模糊地理现象隶属度误差的主要方面,相关人员的主观性和部门间标准的差异性是主观上引起隶属度误差的主要方面。基于区间Ⅱ-型模糊集理论建立模糊地理对象模型,研究区间Ⅱ-型模糊线长度、区间Ⅱ-型模糊面面积的度量方法和它们隶属度误差的度量方法。该模型能表达隶属度误差,克服现有模型的诸多缺陷。在自然灾害分析、全球变化和植被变化等方面有良好的应用前景。Modeling and metrics of fuzzy geographical phenomena have gained some products.But existing models can＇t measure the error of membership value,so those models can＇t satisfy to objectively describe complex natural and artificial phenomena.The scale effect and measurement error are two major objective reasons which bring forth the membership error of vague geographical phenomena while subjectivity of relative workers and difference of standards between departments are major subjective reasons.A fuzzy geographical object model is proposed based on interval type-Ⅱ fuzzy sets,and the metrics of length of interval type-Ⅱ fuzzy line and area of interval type-Ⅱ fuzzy region are developed too,then the membership error of interval type-Ⅱ fuzzy geographical object is analyzed.This model can handle uncertainty of membership value and avoid some limitations of existing models.The model and relative metrics methods have broad applications in natural hazard analysis,global change,land cover change and so on.

关 键 词：多尺度 高阶模糊性 区间Ⅱ-型模糊集 不确定性 度量 

分 类 号：P208[天文地球—地图制图学与地理信息工程]