FERMATEAN FUZZY HYPERGRAPH

Dr.G. Thamizhendhi Sri Vasavi College, Erode, Tamilnadu. e-mail: gkthamil@gmail.com
C. Kiruthica Kongu Arts and Science College(Autonomous) Erode, Tamilnadu, e-mail: kirthipragathii@gmail.com
Dr.S.Suresh Kongu Arts and Science College(Autonomous) Erode, Tamilnadu, e-mail: profsuresh16@gmail.com

Abstract

Fermatean Fuzzy Sets(FFSs) is an extension of the orthopair fuzzy sets which can be able to carried out uncertain evaluations more actively in decision-making environment. In this paper we proposes the new concept of Fermatean Fuzzy Hyper- graphs(FFHGs).The basic definitions of hypergraphs under Fermatean fuzzy environment are initiated and examined.The size and order of Fermatean fuzzy hypergraph are defined. Also,the regular and dual fermatean fuzzy hypergraph are investigated.Some of its properties are analysed by a suitable example.

Keywords:

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: : Fermatean fuzzy graph,Fermatean fuzzy hypergraph,Regular FFHG,Dual FFHG.

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