Results 1 to 10 of about 5,368,089 (221)

An Introduction to Refined Neutrosophic Number Theory [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
Number theory is concerned with properties of integers and Diophantine equations. The objective of this paper is dedicated to introduce the basic concepts in refined neutrosophic number theory such as division, divisors, congruencies, and Pell's equation
Mohammad Abobala, Muritala Ibrahim
doaj   +3 more sources

On the neutrosophic soft set with rough set theory [PDF]

open access: yesSoft Computing, 2021
Rough set is a very powerful invention to the whole world for dealing with uncertain, incomplete and imprecise problems. Also soft set theory and neutrosophic set theory are advance mathematical tools to handle these uncertain, incomplete, inconsistent information in a better way.
Minakhi Das
exaly   +4 more sources

Further Theory of Neutrosophic Triplet Topology and Applications [PDF]

open access: yesSymmetry, 2020
In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.
Muhammad Gülistan   +2 more
exaly   +2 more sources

Some Results on the Graph Theory for Complex Neutrosophic Sets [PDF]

open access: yesSymmetry, 2018
Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs. With this in mind, in this paper, we introduce new neutrosophic graphs called complex neutrosophic graphs of type 1 (abbr. CNG1). We then present a matrix representation for it and study some properties of this new concept.
Ganeshsree Selvachandran   +2 more
exaly   +4 more sources

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

open access: yesFractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad   +4 more
doaj   +3 more sources

An Introduction to Single-Valued Neutrosophic Primal Theory

open access: yesSymmetry
This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy
Florentin Smarandache   +2 more
exaly   +2 more sources

Soft Neutrosophic Quasigroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup.
Anthony Oyem   +3 more
doaj   +3 more sources

Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra.
Hashem Bordbar   +3 more
doaj   +1 more source

Neutrosophic Triplet Partial g - Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this chapter, neutrosophic triplet partial g - metric spaces are obtained. Then, some definitions and examples are given for neutrosophic triplet partial g - metric space. Based on these definitions, new theorems are given and proved. In addition, it
Memet Şahin   +2 more
doaj   +1 more source

The Neutrosophic Axial Set theory

open access: yesNeutrosophic Sets and Systems, 2022
We presented in this paper a new concept of sets that we launched it neutrosophic axial sets . These sets are considered as generalization of neutrosophic sets . The union relationships , intersection, union , belonging and other concepts were built on these sets , then we created two different concepts of points .
Mustafa Hasan Hadi, L.A.A. Al-Swidi
openaire   +3 more sources

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