# On constructing morphological erosion of intuitionistic fuzzy hypergraphs

On constructing morphological erosion of intuitionistic fuzzy hypergraphs Intuitionistic fuzzy hypergraphs (IFHG) are hypergraphs in which a second degree (non membership) is also included with membership degree for every node in it. Likewise every hyperedge is also having a membership and non membership degree. If a system is modeled using IFHG, the membership degree actually shows the wantedness of the hyperedge/node with respect to the application and the non membership degree shows the unwantedness of the node/hyperedge. The focus of this paper is to show the results of morphological erosion on the sub IFHGs which are created by $$(\alpha ,\beta )$$ ( α , β ) cut considering their union, intersection, complement etc and to show their applications in the field of document processing and networking. This is a premier work which defines morphological erosion on IFHG. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

# On constructing morphological erosion of intuitionistic fuzzy hypergraphs

The Journal of Analysis, Volume 27 (2) – Jun 4, 2018
21 pages

/lp/springer_journal/on-constructing-morphological-erosion-of-intuitionistic-fuzzy-snOar4LIsX
Publisher
Springer Journals
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0096-3
Publisher site
See Article on Publisher Site

### Abstract

Intuitionistic fuzzy hypergraphs (IFHG) are hypergraphs in which a second degree (non membership) is also included with membership degree for every node in it. Likewise every hyperedge is also having a membership and non membership degree. If a system is modeled using IFHG, the membership degree actually shows the wantedness of the hyperedge/node with respect to the application and the non membership degree shows the unwantedness of the node/hyperedge. The focus of this paper is to show the results of morphological erosion on the sub IFHGs which are created by $$(\alpha ,\beta )$$ ( α , β ) cut considering their union, intersection, complement etc and to show their applications in the field of document processing and networking. This is a premier work which defines morphological erosion on IFHG.

### Journal

The Journal of AnalysisSpringer Journals

Published: Jun 4, 2018

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