| Title of paper:
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Neural network for defining intuitionistic fuzzy sets in e-learning
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| Author(s):
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| Panagiotis Chountas
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| HSCS - University of Westminster, London, HA1 3TP, UK
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| chountp@wmin.ac.uk
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| Mohammedsharaf Alzebdi
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| HSCS - University of Westminster, London, HA1 3TP, UK
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| Anthony Shannon
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| Warrane College, University of New South Wales, Kensington, 1465, Australia
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| t.shannon@warrane.unsw.edu.au
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| Krassimir Atanassov
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| CLBME - Bulgarian Academy of Sciences, P.O.Box 12, Sofia-1113, Bulgaria
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| krat@bas.bg
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| Presented at:
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13th ICIFS, Sofia, 9-10 May 2009
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 2, pages 30—32
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| Download:
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 PDF (68 Kb, Info)
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| Abstract:
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The concept of Intuitionistic Fuzzy Graph (IFG) was introduced in 1994 in [7]. It was an object of some subsequent extensions (see [3, 5, 8]), representations (see [1, 2, 4]) and applications (see [4]). Here we will discuss an intuitionistic fuzzy version of the special particular case of a graph — the tree, called an Intuitionistic Fuzzy Tree (IFTr).
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| References:
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- Atanassov K., Index matrix representation of the intuitionistic fuzzy graphs, Fifth Scientific Session of the Mathematical Foundations of Artificial Intelligence Seminar, Sofia, Oct. 5, 1994, Preprint MRL-MFAIS-10-94, 36-41.
- Atanassov K., On intuitionistic fuzzy graphs and intuitionistic fuzzy relations, Proceedings of the VI IFSA World Congress, Sao Paulo, Brazil, July 1995, Vol. 1, 551-554.
- Atanassov K., Temporal intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets, Vol. 4 (1998), No. 4, 59-61.
- K. Atanassov, Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
- Atanassov, K. On index matrix interpretations of intuitionistic fuzzy graphs. Notes on Intuitionistic Fuzzy Sets, Vol. 8 (2002), No. 4, 73-78.
- Christofides, N., Graph Theory. Academic Press, new York, 1975.
- Shannon A., Atanassov K., A first step to a theory of the intuitionistic fuzzy graphs, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, Sept. 28- 30, 1994, 59-61.
- Shannon A., Atanassov K., Intuitionistic fuzzy graphs from α-, β-, and (α, β)- levels, Notes on Intuitionistic Fuzzy Sets, Vol. 1, No. 1, 1995, 32-35.
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