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Advances of Standard and Nonstandard Neutrosophic Theories

By Smarandache, Florentin

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Book Id: WPLBN0100302959
Format Type: PDF (eBook)
File Size: 3.15 MB.
Reproduction Date: 10/1/2019

Title: Advances of Standard and Nonstandard Neutrosophic Theories  
Author: Smarandache, Florentin
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Publication Date:
Publisher: Neutrosophic Science International Association
Member Page: Infinite Science


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Smarandache, F. (2019). Advances of Standard and Nonstandard Neutrosophic Theories. Retrieved from

In this book, we approach different topics related to neutrosophics, such as: Atanassov’s Intuitionistic Fuzzy Set of second type, Spherical Fuzzy Set, n-HyperSpherical Neutrosophic Set, q-Rung Orthopair Fuzzy Set, truth-membership, indeterminacy-membership, falsehood-nonmembership, Extended Nonstandard Analysis; Open and Closed Monads to the Left/Right; Pierced and Unpierced Binads; MoBiNad Set; infinitesimals; infinities; nonstandard reals; standard reals; Nonstandard Neutrosophic Lattices of First Type (as poset) and Second Type (as algebraic structure); Nonstandard Neutrosophic Logic; Extended Nonstandard Neutrosophic Logic; Nonstandard Arithmetic Operations; Nonstandard Unit Interval; Nonstandard Neutrosophic Infimum; Nonstandard Neutrosophic Supremum, Plithogeny; Plithogenic Set; Neutrosophic Set; Plithogenic Operators, Neutrosophic Triplets, (Axiom, NeutroAxiom, AntiAxiom), (Law, NeutroLaw, AntiLaw), (Associativity, NeutroAssociaticity, AntiAssociativity), (Commutativity, NeutroCommutativity, Anti-Commutativity), (WellDefined, NeutroDefined, AntiDefined), (Semi-group, NeutroSemigroup, AntiSemigroup), (Group, NeutroGroup, AntiGroup), (Ring, NeutroRing, AntiRing), (Algebraic Structures, NeutroAlgebraic Structures, AntiAlgebraic Structures), (Structure, NeutroStructure, AntiStructure), (Theory, NeutroTheory, AntiTheory), S-denying an Axiom, Multispace with Multistructure, and so on.


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