Acta Geodaetica et Cartographica Sinica

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Modeling and metrics of higher order fuzzy geographical phenomena

  

  • Received:2010-10-22 Revised:2011-06-08 Online:2012-02-25 Published:2012-02-25

Abstract: 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-2 fuzzy sets, and the metrics of length of interval type-2 fuzzy line and area of interval type-2 fuzzy region are developed too, then the membership error of interval type-2 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.