Nonstandard Characterization of Fuzzy Graphs

Dong Li Chen; Yan Zhang

doi:10.4028/www.scientific.net/AMM.411-414.1392

Paper Titles

Adaptive Feature Selection for Ultrasound Image Processing and its Application to Liver Cirrhosis Detection
p.1372

Multirate and DFT Based Fast Parallel Algorithm for 2-D Inverse Discrete Gabor Transform
p.1377

Scratchpads Based Optimization for 3D Picture Display on Mobile Devices
p.1381

Research on Mathematical Structure of Information Field
p.1387

Nonstandard Characterization of Fuzzy Graphs
p.1392

Existence of Solution for Second Order Impulsive Differential Equations with Mixed Boundary Conditions
p.1396

Converse Comparison Theorems for Backward Stochastic Differential Equations
p.1400

Slope Constrained Quadratic Spline Hermite Interpolation
p.1404

Stability Analysis of Time-Varying Population Evolution System
p.1409

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 411-414Nonstandard Characterization of Fuzzy Graphs

Nonstandard Characterization of Fuzzy Graphs

Abstract:

Based on general procedure for the construction of nonstandard graphs, we first construct a nonstandard fuzzy graph. Subsequently, we define the nonstandard hull of a fuzzy graph, and discuss its properties.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 411-414)

Pages:

1392-1395

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.411-414.1392

Citation:

Cite this paper

Online since:

September 2013

Authors:

Dong Li Chen, Yan Zhang

Keywords:

Nonstandard Analysis, Nonstandard Fuzzy Graph, Nonstandard Hull

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] A. Rosenfeld. Fuzzy graphs, in: L. A. Zadeh, K. S. Fu, K. Tanaka, M. Shimura (Eds. ), Fuzzy Sets and Their Applications to Cognitive and Decision processes, Academic Press, New York, 1975, p.77 – 95.

Google Scholar

[2] Partha Ghosh, Krishna Kundu and Debasis Sarkar: Fuzzy Sets and Systems Vol. 161 (2010) pp.1669-1675.

Google Scholar

[3] Muhammad Akram: Knowledge-Based Systems Vol. 39 (2013), pp.1-8.

Google Scholar

[4] R. Diestel, Graph Theory, Springer-Verlag, New York, (2000).

Google Scholar

[5] Kwang H. Lee: First Course on Fuzzy Theory and Applications (Springer-Verlag Berlin Heidelberg 2005).

Google Scholar

[6] A. H. Zemanian, CEAS Technical Report 803, University at Stony Brook, Stony Brook, New York (2002).

DOI: 10.19070/2332-2926-130002

Google Scholar

[7] Davis M, Applied Nonstandard Analysis, Wiley, New York, (1977).

Google Scholar

[8] C. Ward Henson and L. C. Moore: Trans. Amer. Math. Soc. Vol. 197 (1974), pp.131-143.

Google Scholar

[9] WU Kangping: Systems Science and Mathematical Science. Vol. 10 (1997), pp.97-105.

Google Scholar