Foundation of Neutrosophic Crisp Probability Theory

Authors: Rafif Alhabib, Moustaf Amzherranna, Haitham Farah, A.A. Salama

This paper deals with the application of Neutrosophic Crisp sets (which is a generalization of Crisp sets) on the classical probability, from the construction of the Neutrosophic sample space to the Neutrosophic crisp events reaching the definition of Neutrosophic classical probability for these events. Then we offer some of the properties of this probability, in addition to some important theories related to it. We also come into the definition of conditional probability and Bayes theory according to the Neutrosophic Crisp sets, and eventually offer some important illustrative examples. This is the link between the concept of Neutrosophic for classical events and the neutrosophic concept of fuzzy events. These concepts can be applied in computer translators and decision-making theory.

Comments: 13 Pages.

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[v1] 2018-03-30 08:43:52

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