Heptapartitioned Neutrosophic Soft Matrices and  its Application in Medical Diagnosis

T. Mythili; V. Jeyanthi; D. Maheswari; W.F.Al Omeri

Authors

T. Mythili Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamil Nadu, India
V. Jeyanthi Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamil Nadu, India
D. Maheswari Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamil Nadu, India.
W.F.Al Omeri Mathematics Department, Faculty of Science, Jadara University, Irbid 21110, Jordan.

Keywords:

Fuzzy sets, Soft sets, Soft matrix, Heptapartitioned Neutrosophic soft sets, Hepta partitioned Neutrosophic soft matrix

Abstract

In real-life situations, we often encounter challenges involving uncertainty, vague
ness, complexity, and unpredictability. Heptapartitioned Neutrosophic Sets serve as a mathe
matical tool to address issues that existing methods cannot effectively resolve. Heptapartitioned
Neutrosophic Soft Matrices play a vital role in managing indeterminate and inconsistent infor
mation during the decision-making process. This paper focuses on exploring the concepts of
Heptapartitioned Neutrosophic Sets, Heptapartitioned Neutrosophic Soft Sets, and Heptaparti
tioned Neutrosophic Soft Matrices, which are highly effective in handling situations involving
uncertainty and imprecision. It further proposes a novel method for constructing decision ma
trices using these soft matrices as a practical application of the theory. The study introduces
an algorithm based on Heptapartitioned Neutrosophic Soft Matrices to address problems in
disease diagnosis by analyzing patient symptoms. Specifically, it examines the relationship
between patients and symptoms, as well as between symptoms and diseases, using these ma
trices. To support decision-making, a score matrix is defined by applying max-min operations
and complementation of Heptapartitioned Neutrosophic Soft Matrices

DOI 10.5281/zenodo.17387555