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An Introduction to the Neutrosophic Probability Applied in Quantum Physics

, 2000
In this paper one generalizes the classical probability and imprecise probability to the notion of "neutrosophic probability" in order to be able to model Heisenberg's Uncertainty Principle of a particle's behavior, Schr"dinger's Cat Theory, and the state of bosons which do not obey Pauli's Exclusion Principle (in quantum physics).
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Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics [PDF]

, 2002
Neutrosophy is a new branch of philosophy, introduced by Florentin Smarandache in 1980, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic Logic is a general framework for unification of all existing logics.
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Towards Explainable and Robust NLP: Neutrosophic Probability Augmentation in Text Classification

Neutrosophic Systems with Applications
The rapid growth of textual data necessitates advanced text classification models. However, traditional methods struggle with ambiguity and uncertainty in natural language, reducing classification reliability. To address this, we integrate neutrosophic logic, which explicitly models truth, indeterminacy, and falsity, into a DistilBERT-based text ...
Nabil M. Abdel-Aziz, Mahmoud Ibrahim, Khalid A. Eldrandaly   +2 more
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Neutrosophic Quadruple Numbers, Refined Neutrosophic Quadruple Numbers, Absorbance Law, and the Multiplication of Neutrosophic Quadruple Numbers [PDF]

, 2015
In this paper, we introduce for the first time the neutrosophic quadruple numbers (of the form + + + ) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the
Florentin Smarandache, Smarandache, Florentin   +1 more
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The Israel-Palestine Question – A Case for Application of Neutrosophic Game Theory [PDF]

In our present paper, we have explored the possibilities and developed arguments for an application of principles of neutrosophic game theory as a generalization of the fuzzy game theory model to a better understanding of the Israel-Palestine problem in ...
Florentin Smarandache, Sukanto Bhattacharya, Mohammad Khoshnevisan   +2 more
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Neutrosophic Actions, Prevalence Order, Refinement of Neutrosophic Entities, and Neutrosophic Literal Logical Operators [PDF]

, 2015
In this paper, we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on {T, I, F} with respect to a given neutrosophic operator “o”, which may be subjective - as defined by the neutrosophic ...
Florentin Smarandache, Smarandache, Florentin   +1 more
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Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications

Scientific Reports
A neutrosophic statistic is a random variable and it has a neutrosophic probability distribution. So, in this paper, we introduce the new neutrosophic Birnbaum–Saunders distribution. Some statistical properties are derived, using Mathematica 13.1.1 and R-
Marwa K. Hassan, Muhammad Aslam
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Neutrosophic Negative Binomial Hurdle Models for Overdispersed Zero-Inflated Count Data

Transactions on Fuzzy Sets and Systems
The Negative Binomial Hurdle (NBH) model stands as a preeminent statistical framework for analyzing overdispersed count data characterized by a preponderance of zero observations.
Ibrahim Sadok
doaj  

Refined and Over/Under/Off Extensions of Probability, Imprecise Probability, Neutrosophic Probability, Plithogenic Probability, Measure, and Statistics.

This book develops a unified framework for refined and Over/Under/Off extensions of probability, measure, and statistics by systematically combining two generating operators: Refinement, which decomposes a component into finer, individually trackable subcomponents while preserving reduction consistency, and Over/Under/Off relaxation, which extends ...
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Neutrosophic Perspective of Neutrosophic Probability Distributions and its Application

International Journal of Neutrosophic Science, 2021
Neutrosophical probability is concerned with inequitable and defective topics and processes. This is a subset of Neutrosophic measures that includes a prediction of an event (as opposed to indeterminacy) as well as a prediction of some unpredictability.
M. Lathamaheswari, Said Broumi, Florentin Smarandache, S. Sudha   +3 more
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