Neutrosophic Grill Topological Spaces

Neutrosophic Grill Topological Spaces
Author: Selvaraj Ganesan
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:
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In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open.

An Introduction to Single-Valued Neutrosophic Primal Theory

An Introduction to Single-Valued Neutrosophic Primal Theory
Author: Fahad Alsharari
Publisher: Infinite Study
Total Pages: 21
Release: 2024-01-01
Genre: Mathematics
ISBN:
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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 primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal and single-valued neutrosophic topologies is introduced, along with the establishment of several equivalent conditions related to this notion.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 970
Release: 2022-09-01
Genre: Mathematics
ISBN:
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“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 Systems with Applications (NSWA), Vol. 2, 2023

Neutrosophic Systems with Applications (NSWA), Vol. 2, 2023
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 74
Release:
Genre: Art
ISBN:
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Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc..

Single-Valued Neutrosophic Ideal Approximation Spaces

Single-Valued Neutrosophic Ideal Approximation Spaces
Author: Yaser Saber
Publisher: Infinite Study
Total Pages: 17
Release: 2024-01-01
Genre: Mathematics
ISBN:
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In this paper, we defined the basic idea of the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set in a single-valued neutrosophic approximation space. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set, single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the development of fuzzy systems, enhancing their ability to model and reason using uncertain and imprecise information.

Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science

Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science
Author: Sheng-Lung Peng
Publisher: Springer Nature
Total Pages: 576
Release: 2022-06-28
Genre: Technology & Engineering
ISBN: 9811901821
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The conference proceeding of ICMMCS 2021 presents most recent scientific and technological advances in the fields of engineering mathematics and computational science to strengthen the links in the scientific community. It is a collection of high-quality, peer-reviewed research papers presented at the Second International Conference on Mathematical Modeling and Computational Science (ICMMCS 2021), held online during October 29–30, 2021. The topics covered in the book are mathematical logic and foundations, numerical analysis, neural networks, fuzzy set theory, coding theory, higher algebra, number theory, graph theory and combinatory, computation in complex networks, calculus, differential educations and integration, application of soft computing, knowledge engineering, machine learning, artificial intelligence, big data and data analytics, high-performance computing, network and device security, Internet of Things (IoT).

Generalized Alpha Closed sets in Neutrosophic topological spaces

Generalized Alpha Closed sets in Neutrosophic topological spaces
Author: D. Sreeja
Publisher: Infinite Study
Total Pages: 8
Release:
Genre: Mathematics
ISBN:
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This paper committed to the investigation of Neutrosophic topological spaces. In this paper Generalized Alpha Closed Sets and Generalized Alpha Open Sets are presented. Some of its properties are contemplated.

The Ingenuity of Neutrosophic Topology via N-Topology

The Ingenuity of Neutrosophic Topology via N-Topology
Author: M. Lellis Thivagar
Publisher: Infinite Study
Total Pages: 10
Release:
Genre:
ISBN:
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In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc.

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces
Author: A. A. Salama
Publisher: Infinite Study
Total Pages: 4
Release:
Genre:
ISBN:
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In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental definitions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space [9], intuitionistic fuzzy topological space [5, 6], and fuzzy topological space [4] to the case of generalized neutrosophic sets. Possible application to GIS topology rules are touched upon.