Introduction to Neutrosophic Statistics

Introduction to Neutrosophic Statistics
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 125
Release: 2014
Genre: Mathematics
ISBN: 1599732742

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Neutrosophic Probability, Set, And Logic (first version)

Neutrosophic Probability, Set, And Logic (first version)
Author: FLORENTIN SMARANDACHE
Publisher: Infinite Study
Total Pages: 15
Release:
Genre:
ISBN:

This project is a part of a National Science Foundation interdisciplinary project proposal. Starting from a new viewpoint in philosophy, the neutrosophy, one extends the classical "probability theory", "fuzzy set" and "fuzzy logic" to , and respectively.

Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)

Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 18
Release: 2022-06-01
Genre: Mathematics
ISBN:

In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses).

AN INTRODUCTION TO THE NEUTROSOPHIC PROBABILITY APPLIED IN QUANTUM PHYSICS

AN INTRODUCTION TO THE NEUTROSOPHIC PROBABILITY APPLIED IN QUANTUM PHYSICS
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 11
Release:
Genre:
ISBN:

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, Schrödinger’s Cat Theory, and the state of bosons which do not obey Pauli’s Exclusion Principle (in quantum physics).

Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability

Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 142
Release:
Genre:
ISBN: 159973253X

In this book, 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.

Neutrosophy

Neutrosophy
Author: Florentin Smarandache
Publisher:
Total Pages: 110
Release: 1998
Genre: Mathematics
ISBN:

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Author: Haibin Wang
Publisher: Infinite Study
Total Pages: 99
Release: 2005
Genre: Mathematics
ISBN: 1931233942

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics

Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics
Author: Florentin Smarandache editor
Publisher: Infinite Study
Total Pages: 148
Release: 2003-01-01
Genre: Mathematics
ISBN: 1931233675

Collected papers on neutrosophics [such as: ?neutrosophy? - a new branch of philosophy, ?neutrosophic logic? ? a generalization of the fuzzy logic, ?neutrosophic set? ? a generalization of the fuzzy set, and ?neutrosophic probability? ? a generalization of classical probability and imprecise probability] by Florentin Smarandache, Jean Dezert, Andrzej Buller, Mohammad Khoshnevisan, Sarjinder Singh, Sukanto Bhattacharya, Feng Liu, Gh. C. Dinulescu-Campina, Chris Lucas, and Carlos Gershenson.Neutrosophic Logic involved the foundation of the Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning, which has taken into consideration the combination of uncertain and contradictory information, used now in artificial intelligence.