Intuitionistic Fuzzy Semihypergraphs

Myithili. K. K; Nithyadevi. P

Author(s)

Myithili. K. K Department of Mathematics (CA), Vellalar College for Women, Erode-638012, Tamilnadu, India.

Nithyadevi. P Department of Mathematics (CA), Vellalar College for Women, Erode-638012, Tamilnadu, India.

Abstract

A Semihypergraph is a connected hypergraph in which each hyperedge must have atleast three vertices and each pair of hyperedges has atleast one vertex in common. In this article, the intuitionistic fuzzy semihypergraphs, semi µ- strong, semi ?- strong, strong IFSHGs and effective IFSHGs are introduced and some kinds of IFSHG such as simple, support simple, elementary, sectionally elementary IFSHGs are discussed.

Publication Details

Page(s) 466-481

DOI DOI not available

Published Journal: International Journal of Communication Networks and Information Security, Volume: 16, Issue: 4, Year: 2024

Request the full text from PASTIC

Keywords

Simple, Intuitionistic fuzzy semihypergraphs (IFSHGs), Semi µ strong, semI strong, strong IFSHGs, Effective IFSHGs, support simple, elementary and sectionally elementary.

References

Atanassov. K .1986 .. Fuzzy Sets and Systems, 20(1) : 87-96.

Atanassov. K. T, .1999 .Intuitionistic fuzzy sets - theory and applications. , : .

Berge .1976 .Graphs. , : .

Jagadeesan ,Myithili. K. K ,Gayathri .2024 .A New Paradigm on Semihypergraph. Journal of Computational Analysis and Applications (JoCAAA), 33(2) : 514-522.

Nair Mordeson J. N,Premchand S. .2000 .Fuzzy graphs and fuzzy hypergraphs. , : .

Myithili. K. K ,Akram .2014 .Certain types of intuitionistic fuzzy directed hypergraphs. International Journal of Cybernatics and Machine Learning, DOI 10.1007/s13042-014-0235- 1, : 1-9.

Myithili. K. K .2020 .Types of intuitionistic fuzzy k-partite hypergraphs. AIP Conference Proceedings, 2261 : 030012.

Karunambigai. M. G Parvathi. R .2006 .Intuitionistic fuzzy graphs. Advances in soft computing: Computational Intelligence, Theory and Applications, 20 : 139-150.

Thilagavathi Parvathi. R,Karunambigai. M. G Parvathi. R .2009 .. Bulgarian Academy of Sciences, Cybernetics and Information Technologies, 9(2) : 46-53.

Parvathi ,Thilagavathi .2013 .. Advances in Fuzzy Sets and Systems, 14(1) : 39-52.

Radha K.,Renganathan K.,Issue 4,Jan 4 .2020 .On fuzzy semigraphs, Our Heritage. , 68 : 0474-9030.

Sampathkumar .1999 .. Technical Report, : .

Zadeh L. A,Fuzzy sets .1965 .. Information and control, 338 : 353.