Introduction to Neutrosophic Statistics
Title | Introduction to Neutrosophic Statistics PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
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.
Neutrosophy
Title | Neutrosophy PDF eBook |
Author | Florentin Smarandache |
Publisher | |
Pages | 110 |
Release | 1998 |
Genre | Mathematics |
ISBN |
Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)
Title | Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version) PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
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).
Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Title | Interval Neutrosophic Sets and Logic: Theory and Applications in Computing PDF eBook |
Author | Haibin Wang |
Publisher | Infinite Study |
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.
An Introduction to the Neutrosophic Probability and Nuetrosophic Statistics
Title | An Introduction to the Neutrosophic Probability and Nuetrosophic Statistics PDF eBook |
Author | Florentin Smarandache |
Publisher | |
Pages | |
Release | 1999-12 |
Genre | |
ISBN | 9781879585737 |
Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Title | Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 10 |
Release | 2010-08-23 |
Genre | Mathematics |
ISBN |
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)
Title | A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 157 |
Release | 2005 |
Genre | Mathematics |
ISBN | 1599730804 |
N-Norm and N-conorm are extended in Neutrosophic Logic/Set.