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Neutrosophic Sets and Systems

Abstract

Neutrosophic sets are an important branch of topology that addresses issues with inconsistent, indeterminate, and uncertain situations in everyday life. Interval valued neutrosophic sets, known as subclasses of neutrosophic sets, have been specifically designed to address problems with a set of numbers in the real unit of interval rather than just a single number. Interval valued neutrosophic(IVN) matrix plays an influential role in decision making problems with indeterminant and inconsistent information. The objective of the paper is to discuss the concepts and operations of IVN matrix theory and propose a newly concept of an improved method of IVN matrix composition and apply it in the field of medical diagnosis. Finally, a decision-making algorithm based on IVN matrix composition has been proposed to solve problems with disease diagnosis from the manifestation of different symptoms in individuals and successfully applied in the field of medical diagnosis.

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