Recent Advantages In Neutrosophic Module Theory
Title | Recent Advantages In Neutrosophic Module Theory PDF eBook |
Author | Rozina Ali |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.
A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems
Title | A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems PDF eBook |
Author | Mohammad Abobala |
Publisher | Infinite Study |
Pages | 22 |
Release | |
Genre | Mathematics |
ISBN |
Neutrosophic Linear Space Theory
Title | Neutrosophic Linear Space Theory PDF eBook |
Author | Rozina Ali |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we give a review about neutrosophic linear spaces and their properties.
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.
A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry
Title | A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry PDF eBook |
Author | Ahmed A. Salama |
Publisher | Infinite Study |
Pages | 11 |
Release | 2022-01-01 |
Genre | Mathematics |
ISBN |
In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.
Neutrosophic SuperHyperAlgebra and New Types of Topologies
Title | Neutrosophic SuperHyperAlgebra and New Types of Topologies PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 254 |
Release | 2023-09-01 |
Genre | Mathematics |
ISBN |
In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.
NeutroAlgebra Theory Volume I
Title | NeutroAlgebra Theory Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 219 |
Release | 2021-06-21 |
Genre | Architecture |
ISBN |
A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.