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| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 478 |
| Release | : 2019-04-04 |
| Genre | : Mathematics |
| ISBN | : 303897384X |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 450 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 3038974765 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 480 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 3038973858 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : Florentin Smarandache |
| Publisher | : |
| Total Pages | : |
| Release | : 2019 |
| Genre | : Neutrosophic logic |
| ISBN | : 9783038974772 |
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 348 |
| Release | : 2017 |
| Genre | : |
| ISBN | : 1599735318 |
This book is part of the book-series dedicated to the advances of neutrosophic theories and their applications, started by the author in 1998. Its aim is to present the last developments in the field. This is the second extended and improved edition of Neutrosophic Perspectives (September 2017; first edition was published in June 2017). For the first time, we now introduce: — Neutrosophic Duplets and the Neutrosophic Duplet Structures; — Neutrosophic Multisets (as an extension of the classical multisets); — Neutrosophic Spherical Numbers; — Neutrosophic Overnumbers / Undernumbers / Offnumbers; — Neutrosophic Indeterminacy of Second Type; — Neutrosophic Hybrid Operators (where the heterogeneous t-norms and t-conorms may be used in designing neutrosophic aggregations); — Neutrosophic Triplet Weak Set (and con-sequently we have renamed the previous Neutros-ophic Triplet Set (2014-2016) as Neutrosophic Triplet Strong Set in order to distinguish them); — Neutrosophic Perfect Triplet; — Neutrosophic Imperfect Triplet; — Neutrosophic triplet relation of equivalence; — Two Neutrosophic Friends; — n Neutrosophic Friends; — Neutrosophic Triplet Loop; — Neutrosophic Triplet Function; — Neutrosophic Modal Logic; — and Neutrosophic Hedge Algebras. The Refined Neutrosophic Set / Logic / Probability were introduced in 2013 by F. Smarandache. Since year 2016 a new interest has been manifested by researchers for the Neutrosophic Triplets and their corresponding Neutros-ophic Triplet Algebraic Structures (introduced by F. Smarandache & M. Ali). Subtraction and Division of Neutrosophic Numbers were introduced by F. Smarandache - 2016, and Jun Ye – 2017. We also present various new applications in: neutrosophic multi-criteria decision-making, neutrosophic psychology, neutrosophic geographical function (the equatorial virtual line), neutrosophic probability in target identification, neutrosophic dynamic systems, neutrosophic quantum computers, neutrosophic theory of evolution, and neutrosophic triplet structures in our everyday life. Keywords: neutrosophy, neutrosophic duplets, neutrosophic duplet structures, neutrosophic multisets, neutrosophic hedge algebras, neutrosophic multi-criteria decision-making, neutrosophic psychology, neutrosophic geographical function, neutrosophic probability in target identification,
| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 450 |
| Release | : 2019-04-04 |
| Genre | : Mathematics |
| ISBN | : 3038974757 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : S. Suryoto |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.
| Author | : Vasantha Kandasamy W. B. |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
It is proved that these rings can contain only three types of neutrosophic triplets, these collections are distinct, and these collections form a torsion free abelian group as triplets under component wise product. However, these collections are not even closed under component wise addition.
| Author | : Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.
| Author | : Memet Sahin |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied. We show that both classical metric and neutrosophic triplet metric (NTM) are different from NTPM. Also, we show that NTPMS can be defined with each NTMS. Furthermore, we define a contraction for NTPMS and we give a fixed point theory (FPT) for NTPMS. The FPT has been revealed as a very powerful tool in the study of nonlinear phenomena. This study is also part of the “Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets” which is a special issue.
