A Model of Fuzzy Topological Relations for Simple Spatial Objects in GIS

HUAYI WU,BO LIU,LIBO ZHANG,JIAN RUAN,LAN YOU,DAJUN LI

doi:10.1590/s1982-21702015000200022

Abstract

The goal of this paper is to present a new model of fuzzy topological relations for simple spatial objects in Geographic Information Sciences (GIS). The concept of computational fuzzy topological space is applied to simple fuzzy objects to efficiently and more accurately solve fuzzy topological relations, extending and improving upon previous research in this area. Firstly, we propose a new definition for simple fuzzy line segments and simple fuzzy regions based on computational fuzzy topology. And then, we also propose a new model to compute fuzzy topological relations between simple spatial objects, an analysis of the new model exposes:(1) the topological relations of two simple crisp objects; (2) the topological relations between one simple crisp object and one simple fuzzy object; (3) the topological relations between two simple fuzzy objects. In the end, we have discussed some examples to demonstrate the validity of the new model, through an experiment and comparisons of existing models, we showed that the proposed method can make finer distinctions, as it is more expressive than the existing fuzzy models.

Highlights

Geographical information sciences (GIS) commonly deal with geographical phenomena modeled by crisp points, lines, and regions, features which are clearly defined or have crisp boundaries
Liu and Shi (2006, 2009), Shi and Liu(2007) defined a computational fuzzy topology to compute the interior, boundary, and exterior parts of spatial objects, and based on the definition, Liu and Shi(2009) proposed a computational 9-intersection model to compute the topological relations between simple fuzzy region, line segment and fuzzy points, but the model did not give the topological relations between two simple fuzzy regions, and did not compute the topological relations between one simple fuzzy spatial object and one simple crisp spatial object
Fuzzy topological relations between simple spatial objects can be used for fuzzy spatial queries and spatial analyses

Summary

Introduction

Geographical information sciences (GIS) commonly deal with geographical phenomena modeled by crisp points, lines, and regions, features which are clearly defined or have crisp boundaries. Many models have been designed to formalize fuzzy topological relations between simple spatial objects these models provide a framework to conceptually describe the topological relations between two regions and can be considered as an extension of the crisp case. They can be implemented on spatial databases at less cost than other uncertainty models and are useful when managing, storing, querying, and analyzing uncertain data.

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