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Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs

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

Abstract

A hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be created by applying morphological operators like dilation, erosion, adjunction, etc. The focus of this paper is to define morphological adjunction, opening, closing, and Alternative Sequential Filter (ASF) on IFHG. The system modeled in this way finds application in text processing, image processing, network analysis, and many other areas.

Suggested Citation

  • P. M. Dhanya & A. Sreekumar & M. Jathavedan & P. B. Ramkumar, 2018. "Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-11, July.
    • Handle: RePEc:hin:jijmms:6045358
    DOI: 10.1155/2018/6045358
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