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Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 450
ISBN-13: 3038974765
DOWNLOAD EBOOKNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 480
ISBN-13: 3038973858
DOWNLOAD EBOOKNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author: Florentin Smarandache
Publisher:
Published: 2019
Total Pages:
ISBN-13: 9783038974772
DOWNLOAD EBOOKAuthor: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKIn all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined. Again, in all classical algebraic structures, the Axioms (Associativity, Commutativity, etc.) defined on a set are totally true, but it is again a restrictive case, because similarly there are numerous situations in science and in any domain of knowledge when an Axiom defined on a set may be only partially-true (and partially-false), that we call NeutroAxiom, or totally false that we call AntiAxiom. Therefore, we open for the first time in 2019 new fields of research called NeutroStructures and AntiStructures respectively.
Author: Florentin Smarandache
Publisher: Infinite Study
Published: 2017
Total Pages: 348
ISBN-13: 1599735318
DOWNLOAD EBOOKThis 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: S. Suryoto
Publisher: Infinite Study
Published:
Total Pages: 7
ISBN-13:
DOWNLOAD EBOOKThe 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
Publisher: Infinite Study
Published: 2020-12-01
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKIn 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: Florentin Smarandache
Publisher: MDPI
Published: 2019-04-04
Total Pages: 450
ISBN-13: 3038974757
DOWNLOAD EBOOKNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author: Vasantha Kandasamy W. B.
Publisher: Infinite Study
Published:
Total Pages: 9
ISBN-13:
DOWNLOAD EBOOKIt 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.
