Neutrosophic Measure and Neutrosophic Integral

Abstract

Since the world is full of indeterminacy, the
neutrosophics found their place into contemporary
research. We now introduce for the first time the notions
of neutrosophic measure and neutrosophic integral.
Neutrosophic Science means development and
applications of neutrosophic logic/set/measure/integral/
probability etc. and their applications in any field. It is
possible to define the neutrosophic measure and
consequently the neutrosophic integral and neutrosophic
probability in many ways, because there are various types
of indeterminacies, depending on the problem we need to
solve. Indeterminacy is different from randomness.
Indeterminacy can be caused by physical space materials
and type of construction, by items involved in the space,
or by other factors. Neutrosophic measure is a
generalization of the classical measure for the case when
the space contains some indeterminacy. Neutrosophic
Integral is defined on neutrosophic measure. Simple
examples of neutrosophic integrals are given.