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Algebra of Morphological Dilation on Intuitionistic Fuzzy Hypergraphs


Dhanya P. M., Sreekumar A, Jathavedan M, Ramkumar P. B.
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Intuitionistic Fuzzy Hypergraphs (IFHG) are those in which the hypernodes are having membership and non membership degrees , so also the hyperedges. The hypernodes with high membership degrees are more relevant with respect to the hypergraph. Likewise the hyperedges with high membership degrees are more important. The purpose of this work is to define algebraic operations like union, intersection and complement of morphological dilation operation on sub hypergraphs of IFHG. De Morgan’s law is also applied to IFHG provided the sub hypergraphs considered are having common edge(s).

Dhanya P. M., Sreekumar A, Jathavedan M, Ramkumar P. B.

Intuitionistic Fuzzy Hypergraph, Morphology, Dilation.

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Publication Details

Published in : Volume 4 | Issue 1 | January-February - 2018
Date of Publication Print ISSN Online ISSN
2018-02-28 2395-1990 2394-4099
Page(s) Manuscript Number   Publisher
300-308 IJSRSET1184151   Technoscience Academy

Cite This Article

Dhanya P. M., Sreekumar A, Jathavedan M, Ramkumar P. B., "Algebra of Morphological Dilation on Intuitionistic Fuzzy Hypergraphs", International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 1, pp.300-308, January-February-2018.
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