Algebra of Morphological Dilation on Intuitionistic Fuzzy Hypergraphs

Authors

  • Dhanya P. M.  Department of Computer Applications, CUSAT, Kochi, Kerala, India
  • Sreekumar A  Department of Computer Applications, CUSAT, Kochi, Kerala, India
  • Jathavedan M  Department of Computer Applications, CUSAT, Kochi, Kerala, India
  • Ramkumar P. B.  Department of Basic Sciences and Humanities, RSET, Kochi, Kerala, India

Keywords:

Intuitionistic Fuzzy Hypergraph, Morphology, Dilation.

Abstract

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).

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-02-28

Issue

Volume 4, Issue 1, January-February-2018

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
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.