Decomposition of Neutrosophic Fuzzy Matrices Using Some  Alpha – Cuts

C. Devi Shyamala Mary; C. Kayelvizhi; Shriram kalathian; P. Tharaniya; M. Anandhkumar; S. M. Chithra

Authors

C. Devi Shyamala Mary PG & Research Department of Mathematics, St. Joseph’s College of Arts & Science (Autonomous), Cuddalore, Tamilnadu, India.
C. Kayelvizhi Department of Mathematics, SRM Institute of Science and Technology, Faculty of Science and Humanities, Ramapuram Campus, Chennai, 600089, India.
Shriram kalathian Department of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai 600119
P. Tharaniya Department of Mathematics, Rajalakshmi Institute of Technology, Poonamalle, Chennai, Tamilnadu, India
M. Anandhkumar Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India.
S. M. Chithra Department of Mathematics, R. M. K. College of Engineering and Technology-601 206

Keywords:

Neutrosophic fuzzy sets; Neutrosophic fuzzy matrix; Neutrosophic fuzzy value; Reflexive matrix; Cut matrix; Irreflexive; Symmetric.

Abstract

The aim of this paper is to investigate the properties of various types of ( ) , ,       (Alpha) - cuts
on Neutrosophic Fuzzy Matrices (NFM). We introduce different kinds of Alpha cuts on
Neutrosophic Fuzzy Sets (NFS) and discuss their properties with other existing operators on NFM.
Finally, we provide representations and decompositions of NFM using these Alpha cuts. To support
and clarify the findings, counterexamples are included in the discussion of the decomposition of
NFM.

DOI: 10.5281/zenodo.15467831