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A New Perspective on Neutrosophic Differential Equation

Mathematics
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Book Synopsis A New Perspective on Neutrosophic Differential Equation by : I. R. Sumathi

Download or read book A New Perspective on Neutrosophic Differential Equation written by I. R. Sumathi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper the Neutrosophic ordinary differential equation of first order via neutrosophic numbers is epitomized. We also intend to define the neutrosophic numbers and their (α, β, γ)-cut. Finally a numerical example is given to demonstrate its practicality and effectiveness of the differential equation involving neutrosophic numbers.

New approach on differential equation via trapezoidal neutrosophic number

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Book Synopsis New approach on differential equation via trapezoidal neutrosophic number by : I. R. Sumathi

Download or read book New approach on differential equation via trapezoidal neutrosophic number written by I. R. Sumathi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Logic is a tool based on non-standard analysis to represent mathematical model of uncertainty, vagueness, ambiguity, incompleteness, and inconsistency. In Neutrosophic set, indeterminacy is quantified explicitly whereas the truth membership, indeterminacy membership, and falsity membership are independent. This plays a vital role in many situations whenwehandle inconsistent and incomplete information. In modeling problems, differential equations have major applications in the field of science and engineering and the study of differential equationwith uncertainty is one of emerging field of research. In this paper, the differential equations in neutrosophic environment are explored, also the solution of second-order linear differential equation with trapezoidal neutrosophic numbers as boundary conditions is discussed. Furthermore, the numerical example is given to demonstrate the solution with different values of (α, β, γ )-cut of trapezoidal neutrosophic number.

Neutrosophic Sets and Systems, vol. 51/2022

2022-09-01 Mathematics
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Release : 2022-09-01
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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache. This book was released on 2022-09-01. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, Vol. 38, 2020

Mathematics
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Book Synopsis Neutrosophic Sets and Systems, Vol. 38, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 38, 2020 written by Florentin Smarandache. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems, Vol. 46, 2021

2021-10-19 Antiques & Collectibles
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Release : 2021-10-19
Genre : Antiques & Collectibles
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Book Synopsis Neutrosophic Sets and Systems, Vol. 46, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 46, 2021 written by Florentin Smarandache. This book was released on 2021-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic programming, neutrosophic hypersoft set, neutrosophic topological spaces, NeutroAlgebra, NeutroGeometry, AntiGeometry, NeutroNearRings, neutrosophic differential equations, etc.

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