  We introduce Pura Vida Neutrosophic Algebra, an algebraic structure
consisting of neutrosophic numbers equipped with two binary operations namely
addition and multiplication. The addition can be calculated sometimes with the
function min and other times with the max function. The multiplication
operation is the usual sum between numbers. Pura Vida Neutrosophic Algebra is
an extension of both Tropical Algebra (also known as Min-Plus, or Min-Algebra)
and Max-Plus Algebra (also known as Max-algebra). Tropical and Max-Plus
algebras are algebraic structures included in semirings and their operations
can be used in matrices and vectors. Pura Vida Neutrosophic Algebra is included
in Neutrosophic semirings and can be used in Neutrosophic matrices and vectors
