Browsing by Author "Sasikala D"

Now showing 1 - 18 of 18

AINTUITIONISTIC GENERALIZED J - REGULAR CLOSED SETS
(Ijpublication, 2019) Sasikala D; Anitha T
The article comprises of new concept of Generalized j – regular closed sets in topological spaces. The generalized closed set is properly placed between the generalized regular closed set and regular generalized closed set. Some of their properties have been discussed and studied.
AN ALEXANDAN ALEXANDROFFBITOPOLOGICAL SPACE ON UNDIRECTED GRAPHSROAN ALEXANDROFFBITOPOLOGICAL SPACE ON UNDIRECTED GRAPHSFFBITOPOLOGICAL SPACE ON UNDIRECTED GRAPHS
(Centre of scientific innovation and research publication, 2019-07) Sasikala D; Divya A
All nodes (vertices) has finitely many adjacent nodes(vertices) in graph G = (V, E) is calledlocally finite graph, where V is referred as vertex (node) set and E is referred as edge (arc) set.Alexandroff spaces became much more important field because of their use in digital topology.Alexandroff space is a topological space, in which arbitrary intersection of open sets is open (orarbitrary union of closed sets is closed) equivalently, we say that each singleton has minimalneighborhood base. The bitopological spaces that is the triple (A, τ1, τ2 ) of a collection A with two(arbitrary) topologies τ1and τ2on A. In this paper, we mean by a bitopologicalspace(V,τG,τIG) is anAlexandroffbitopological space, satisfy the stronger condition namely, arbitrary intersection ofmembers of SG and SIG are open in τG and τIG respectively on V, whereSG is the sub basis for agraphic topology τG and SIG is the sub basis for a incident topology τIG. Latter, we investigate someproperties and characterization of this topological spaces. In particular, the separation axioms arestudied. Our goal is to consider the fundamentalsteps toward analyzing some properties of locallyfundamental steps toward analyzing some properties of locallyfinite graphs by their corresponding topology.
AN ALEXANDROFF TOPOLOGICAL SPACE ON THEVERTEX SET OF SUM CORDIAL GRAPHS
(Institute of Advanced Scientific Research, 2019) Sasikala D; Divya A
The goal of the article is to introduce cordial Alexandroff topological space on sum cordial graphs. Weinvestigate some properties of cordial Alexandroff topological space and additionally we have a tendency to provesome graphs which does not admits cordial alexandroff topological space
APPLICATION OF NANO TOPOLOGY IN FINDING MAIN FACTORSFOR NON PREGNANCY
(JASC, 2019-03) Sasikala D; Radhamani K C
Giving birth to a child is a precious gift. Now a days many women are facing problems in consuming. In this paper, weanalyze the reasons for non consuming through women belonging to different category (differ from age, weight, etc.,) and reduce the reasons using criterion reduction. Here criterion reduction is done using basis of nano topology.
BEHAVIOR OF OPEN SETS IN BI-ALEXANDROFF TOPOLOGICAL SPACE
(University Press, 2019) Sasikala D; Divya A
The goal of this paper is to establish, the properties of which exhibit the characterization of a j-open set in bi-Alexandroff topological space and some properties of j-open set are analyzed. Also we have studied the notion of j-bi-continuous function in bi-Alexandroff topological space.
A COGITATIVE MEASURE ON HYPERCONNECTED SPACES AND NEUTROSOPHIC HYPERCONNECTED SPACES HOLDING DISPARATE CLASS OF SETS
(2022) Deepa M; Sasikala D
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A CONTEMPORARY APPROACH ON NEUTROSOPHIC NANO TOPOLOGICAL SPACES
(University of New Mexico (UNM), 2020-03) Sasikala D; Radhamani K.C
In this article, we implement a new notion of sets namely neutrosophicnano j-closed set, neutrosophicnano generalized closed set, neutrosophicnano generalized j-closed set and neutrosophicnano generalized j*-closed set in neutrosophicnano topological spaces. We also provide some appropriate examples to study the properties of these sets. The existing relations between some of these sets in neutrosophicnano topological space have been investigated
DIVISOR CORDIAL GRAPHS CONTAINING AN ALEXANDROFF TOPOLOGICALSPACE
(Institute of Applied & computations, 2019-03) Sasikala D; Divya A
The aim of this article is to introduce a new approach of applying the Alexandroff topological space on divisor cordial graphs. Our motivation is towards giving fundamental concepts relating divisor cordial graphs bytheir corresponding topology. Some properties and characterization relating to these spaces are discussed.
NECESSARY OR SUFFICIENT CONDITION FOR ALEXANDROFF TOPOLOGICAL SPACES TO BE CORDIAL GRAPHIC (Article)
(Elsevier B.V., 2024-12) Divya A; Ramya K; Sasikala D
In this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide insights into their topological structure.
A NEW PERSPECTIVE OF NEUTROSOPHIC HYPERCONNECTED SPACES
(Neutrosophic Sets and Systems, 2022) Sasikala D; Deepa M
The focus of this article is to introduce a new class of sets namely neutrosophic semi j-open and neu-trosophic semi j-closed sets in neutrosophic topological space. Using this, we present the new spaces neutrosophichyperconnected and neutrosophic semi j-hyperconnected. Also we explore the characteristics of neutrosophic semi j-open sets, neutrosophic semi j-closed set, neutrosophic hyperconnectedness. Finally we examine theproperties of neutrosophic semi j-hyperconnectedness with some existing sets
ON IG*-J CLOSED SETS IN IDEAL TOPOLOGICAL SPACES
(Institute of Applied & computations, 2014-04) Sasikala D; Gowri S
In this paper, we investigate a new form of set namely Ig*-j closed set in ideal topological space. Further, the properties related to these sets are analyzed. Also, we discuss some of the characterizations of Ig*-j closed sets.
PROPAGATION OF CORDIAL GRAPHS YIELDING ALEXANDROFF TOPOLOGICAL SPACES
(2020) Divya S; Sasikala D
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A REAL TIME APPLICATION ON NEUTROSOPHIC NANO SOFT TOPOLOGY
(Journal of Applied and Engineering Mathematics, 2023) Radhamani K.C; Sasikala D
In this paper, we introduce Neutrosophic Nano Topological Space induced by soft set. The “Neutrosophic Nano Soft Topological Space”(NNSTS) is generated by soft lower approximation, soft upper approximation and soft boundary region. The approximations are derived by the soft relation. Also a real life problem is converted to Neutrosophic Nano Soft Topology and solved by calculating score value.
A RECENT WORK ON NANO J-CLOSED SETS IN NANO TOPOLOGICAL SPACES
(Institute of Advanced Scientific Research, 2020-03) Sasikala D; Radhamani K.C
In this paper, we introduce a new class of closed sets namely nano j-closed sets. Also, we define nanogeneralized j-closed sets, nano generalized j*-closed sets, nano j-continuous mapping, nano generalized j-continuous mapping, nano generalized j*-continuous mapping and study some of their properties
THE ROLE OF INTERIOR AND CLOSURE OPERATOR IN MEDICAL APPLICATIONS
(Journal of Applied and Engineering Mathematics, 2022) Sasikala D; Divya A; Jafari S
In this paper, we consider the interior and closure operator as topological tools to apply in divisor cordial labeling. We investigate the properties related to the path with certain examples in a divisor cordial graphic topology. This concept is utilized in human blood circulation path and the results are analyzed.
STATISTICAL ANALYSIS FOR THYROID GLANDUSING R PROGRAMMING
(Institute of Applied & computations, 2019-03) Sasikala D; Bhagya S
This project deals with the functioning of thyroid gland and the factors that affect the functioning of thyroid. R Programming is a statistical tool which is used to analyze the thyroid functions. Graphical representation produced using the available data in R provides a clear view about the social factors affecting the daily functions of the thyroid gland.
STRONG FORMS OF GENERALISED J-CLOSED SETSIN DITOPOLOGICAL TEXTURE SPACES
(Institute of Advanced Scientific Research, 2020) Sasikala D; Divya A.J
The focus of this paper deals with the new notions that is to say j-g-closed and j-g-open sets inditopological texture spaces. The associations between these classes of sets are studied. Some effectivecharacterizations and properties are inquired and also the concept of j-bicontinuousdifunctions and their propertiesare discussed
A STRUCTURE OF OPEN SETS IN QUAD TOPOLOGICAL SPACES
(The International journal of analytical and experimental modal analysis, 2019-10-11) Sasikala D; Deepa M
The main aim of this paper is to present a new set, namely quad j-open set in quad topological space. We discuss the basic properties of quad j-open sets using quad j-interior and quad j-closure. In Addition we study the relationships among quad j-closed, quad b-closed and quad j-regular open in quad topological space.