Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability
It addresses the problem of modeling indeterminacy in various domains, but appears incremental as it builds on a 1995 notion.
The paper introduces new mathematical concepts of neutrosophic measure, integral, and probability to study indeterminacy, distinct from randomness, with practical examples provided.
In this paper, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. 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. Neutrosophics study the indeterminacy. Indeterminacy is different from randomness. It can be caused by physical space materials and type of construction, by items involved in the space, etc.