J Anal https://doi.org/10.1007/s41478-018-0096-3 ORI G INAL RESEARCH PAPER On constructing morphological erosion of intuitionistic fuzzy hypergraphs 1,2 1 1 3 • • • P. M. Dhanya A. Sreekumar M. Jathavedan P. B. Ramkumar Received: 26 January 2018 / Accepted: 18 May 2018 Forum D’Analystes, Chennai 2018 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 mem- bership 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 ða; bÞ 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. Keywords Intuitionistic fuzzy hypergraph Morphology Erosion ða; bÞ cut Mathematics Subject Classiﬁcation 68R05 & P. M. Dhanya email@example.com A. Sreekumar firstname.lastname@example.org M. Jathavedan email@example.com P. B.
The Journal of Analysis – Springer Journals
Published: Jun 4, 2018
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