ISSN:1005-3026

FUZZY ALGEBRA OVER FERMATEAN FUZZY MATRICES

K.Lalitha1and N.Buvaneswari2

1Department of Mathematics, Annamalai University, Chidambaram 608002, India

Deputed to T.K.Government Arts College, Vridhachalam 606601, India

2 Research Scholar in Mathematics, Annamalai University, Chidambaram 608002, India

Assistant Professor of Mathematics, Siga College of Management and Computer Science,

Kappiyampuliyur, Villupuram, 605602

E-mail: 1sudhan_17@yahoo.comĀ  2n.buvanvardhana@gmail.com

Abstract

The concept of semi ring of Fermatean fuzzy matrices is explored in this research (FFMs). The FFMs are shown to constitute a Fermatean fuzzy algebra. Using the comparability to investigate some of the properties of FFMs. Then the trace and transpose of Fermatean fuzzy matrices are defined accordingly and some properties are studied.

MSC 2010 No.: 03E72, 15B15, 08A72

Key Phrases: Intuitionistic Fuzzy Set, Intuitionistic Fuzzy Matrix (IFM), Pythagorean Fuzzy Matrix (PFM), Fermatean Fuzzy Set, Fermatean Fuzzy Matrix (FFM),