Abstract
The main objective of this paper is to extend the concept of Neutrosophic Hypersoft Matrix theory. Neutrosophic soft matrix parametrically evaluates the attributes chosen whereas Neutrosophic hypersoft matrix can parametrically evaluate the sub-attributes of the attributes chosen. Some notions and operations related to Neutrosophic Hypersoft matrices (NHSMs) such as Row-NHSM, Column-NHSM, Diagonal-NHSM, Proper-NHS submatrix, Disjoint NHSM, Extended union (NHSM), Extended intersection (NHSM), addition, subtraction, AND-product and OR-product on NHSM have been introduced with examples. Further a new NHSM-algorithm has been developed based on value matrix, grace matrix and mean matrix to solve Neutrosophic Hypersoft Set based decision-making problems.
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