Analysis and Research of Direction Relation Based on Fuzzy Description

Yong Shan Liu; Yan Li

doi:10.4028/www.scientific.net/AMR.393-395.1102

Paper Titles

A Full-Scale Study on Preozonation of Typical Source Waters in North China
p.1084

Adsorption Capacity of Cr(VI) by Modified Fly Ash from Aqueous Solution
p.1089

Adsorption of Copper (II) from Solution by Wheat Husk in Batch Mode
p.1093

Adsorption of Copper Ions from Wastewater by Carboxymethylcellulose Sulfate
p.1098

Analysis and Research of Direction Relation Based on Fuzzy Description
p.1102

Analysis of Internet Bar Use Evaporative Air-Conditioning and Ventilation of Thermal Comfort
p.1106

Analysis on Chemical Reaction Rate of Iron and Molten Tin
p.1110

Application of Hyperbranched Polymer with Terminal Amino in Dyeing Process of Microfiber Synthetic Leather
p.1114

Biomass of Phragmites australis and Effect Factors Analyzing in Zha Long Wetland
p.1119

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 393-395Analysis and Research of Direction Relation Based...

Analysis and Research of Direction Relation Based on Fuzzy Description

Abstract:

A fuzzy membership function was defined for each direction to predict the membership degree that an object pertains to a certain direction. Nine fuzzy membership functions were defined to describe the direction relations between fuzzy objects and crisp objects with corresponding fuzzy sets. Direction relations were described by a 3×3 fuzzy matrix, which was computed by an aggregation operator defined on the nine fuzzy sets. The fuzzy matrices and crisp matrices of direction relations between fuzzy objects and crisp objects were computed respectively, and comparison of fuzzy matrices with crisp ones reveals that the proposed fuzzy approach is more effective than existing crisp method.

You might also be interested in these eBooks

Biotechnology, Chemical and Materials Engineering

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 393-395)

Pages:

1102-1105

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.393-395.1102

Citation:

Cite this paper

Online since:

November 2011

Authors:

Yong Shan Liu, Yan Li

Keywords:

Direction Relations, Fuzzy Description, Membership, Spatial Object

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Du Shihong, Theoretics and Methods Research of fuzzy sescription and compose reasoning of spatial relations, Chinese Academy of Sciences, vol. 2, p.274–280, August (2004).

Google Scholar

[2] Goyal R K, Egenhofer MJ, Similarity of Cardinal directions, in Seventh International Symposium on Spatial and Temporal Databases. LosAngeles, vol. 3, pp.36-58, (2001).

DOI: 10.1007/3-540-47724-1_3

Google Scholar

[3] Goyal R K, Similarity assessment for cardinal directions between extended spatial objects, Maine: University of Maine, (2000).

Google Scholar

[4] Cicerone. S, P.D. Felice, Cardinal relations between regions with a broad boundary, 8th ACM Symposium on Advances in Geographic Information Systems, vol. 15, p.254–261, (2000).

DOI: 10.1145/355274.355539

Google Scholar

[5] Xie Qi, Liu Da-you, Yu Qiang-yuan, Direction relations model between indeterminate regions, Journal of Jilin University, vol. 5, p.748–753, (2006).

Google Scholar

[6] Coupland S, John R, A fast geometric method for defuzzification of type-2 fuzzy sets, IEEE Transactions on Fuzzy Systems, vol. 16, p.929–941, April (2008).

DOI: 10.1109/tfuzz.2008.924345

Google Scholar