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In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y. +2 more
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Neutrosophic Sets and Systems [PDF]
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 ...
Smarandache, Florentin (Editor-in-Chief)
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Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]
In this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
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In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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NEW CLASSES OF NEUTROSOPHIC LINEAR ALGEBRAS [PDF]
Introduce mainly three new classes of linear algebras; neutrosophic group linear algebras, neutrosophic semigroup linear algebras and neutrosophic set linear algebras.
Ilanthenral, K. +3 more
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Motivations and basic of fuzzy, intuitionistic fuzzy and neutrosophic sets and norms [PDF]
The proposed article mainly comprises of ideas and motivations that led to the generalization of the usual or the crisp sets. Moving forward we intend to look into how the definitions were modified to suit the meaning of the existing definitions and ...
Khan Vakeel A. +2 more
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Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces
In order to solve issues that arise in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization issues, equilibrium problems, complementarity issues, selection and matching problems, and issues proving the existence of solutions to integral and differential equations, fixed ...
Umar Ishtiaq +5 more
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INTRODUCTION TO NEUTROSOPHIC STATISTICS [PDF]
Although the neutrosophic statistics has been defined since 1996, and published in the 1998 book Neutrosophy. / Neutrosophic Probability, Set, and Logic, it has not been developed since now.
Smarandache, Florentin
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Neutrosophic Soft Normed Linear Spaces [PDF]
In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here.
Tuhin Bera, Nirmal Kumar Mahapatra
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Neutrosophic combinatorics and its applications [PDF]
Based on the combined method in Chinese ancient I-Ching and theory of Taiji, this paper presents the Neutrosophic combinatorics by means of the combinations of the truth, the falsehood, and the indeterminacy in Smarandache’s Neutrosophy.
Fu, Anjie, Fu, Yuhua
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