Published on Wed Nov 23 2016

New Trends in Neutrosophic Theory and Applications

Florentin Smarandache, Surapati Pramanik

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends is the hybridization of neutrosphic set with other potential sets such as rough set, bipolar set.

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Abstract

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled Neutrosophic Sets and Systems. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book New Trends in Neutrosophic Theories and Applications focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more.

Mon May 13 2013
Artificial Intelligence
Generalized Neutrosophic Soft Set
In this paper we present a new concept called generalized neutrosophic soft set. We also study some properties of this concept. Finally we present an application of generalized neuutrosphic soft Carbuncleset in decision making problem.
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Sun Jun 08 2014
Artificial Intelligence
Introduction to Neutrosophic Statistics
Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data.
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Fri May 30 2014
Artificial Intelligence
Neutrosophic soft sets with applications in decision making
We present definitions and properties in study of Maji's neutrosophic soft sets. We then give a few notes on his study. Next, based on Cagman's study, we redefine the notion of neutrosphic soft set.
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Wed Nov 27 2013
Artificial Intelligence
Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability
Neutrosophics study the indeterminacy. Indeterminacy is different from randomness. It can be caused by physical space materials.
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Sat Nov 24 2018
Artificial Intelligence
About Nonstandard Neutrosophic Logic (Answers to Imamura 'Note on the Definition of Neutrosophic Logic')
Neutrosophic logic was never used in practical applications. The paper aims to answer Imamura criticism that we found benefic in better understanding the nonstandard logic.
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Thu Feb 05 2015
Artificial Intelligence
The Neutrosophic Entropy and its Five Components
This paper presents two variants of penta-valued representation for neutrosophic entropy. The first is an extension of Kaufmann's formula and the second is Kosko's formula. Based on the primary three-valued information represented by the degree of truth, degree of falsity
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