Neutrosophic Conditional Probabilities: Theories and Applications

In our life, data may be uncertainty in which levels of preciseness of data are intuitively different. In this case, neutrosophic set expressions are considered as an alternative to represent the imprecise data. In this paper, as a generalization of classical conditional probability a general definition of neutrosophic conditional probability is introduced and its properties are presented. The concepts of joint distribution function, regular conditional probabilities, marginal density function, expected value , joint density function in classical type are generalized to neutrosophic type with two neutrosophic random variables discrete and continuous. Many properties and examples are presented which show the significance of this study.