International Journal of Mathematics and Mathematical Sciences (Jan 2018)

Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs

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

DOI
https://doi.org/10.1155/2018/6045358
Journal volume & issue
Vol. 2018

Abstract

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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.