F-KCW-Department Publications
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Item Item INNOVATIVE EXPERT SYSTEM FOR CORONARY HEART DISEASE DIAGNOSIS UTILIZING SOFT SETS(IEEE, 2024-10) Jackson, S; Sasikala, D; Deepa, MIn the recent past, there has been a development of a vast array of theories seeking to explain deal with uncertainties. As a branch of artificial intelligence, medical systems supported with mathematical equations have shown great results in disease diagnosis. Soft set theory is a relatively novel field developed by Molodstov that shows a great deal of potential. In this paper, the “Soft Expert System Framework Incorporating Soft Set Theory and Fuzzy Set Theory” is proposed with the aim of providing a new mathematical tool for handling vagueness in diagnosis. We undertook the development of the Soft Expert System (SES) using medical dataset that contains patient records in order to predict coronary artery disease. In this study, the fuzzy set and soft set were utilized to assess the likelihood of the disease based on the variables including age, blood sugar, high density lipoprotein (HDL), low density lipoprotein (LDL), glycated hemoglobin (HbA1C), uric acid, and blood pressure. The methodology includes key procedures: The generic structure includes Data input, Fuzzyfication, Conversion of Fuzzy sets to soft sets, Reduction of parameters in soft sets, Formulation of soft rules and Data output. This system assumes the role of assisting medical practitioners to improve on their diagnostic abilities and will also ensure that the process takes less time as it would in the normal course.Item A NEW PERSPECTIVE OF NEUTROSOPHIC HYPERCONNECTED SPACES(University of New Mexico, 2022) Sasikala, D; Deepa, MThe 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 neutrosophic hyperconnected 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 the properties of neutrosophic semi j-hyperconnectedness with some existing sets.Item AN ELEMENTARY APPROACH ON HYPERCONNECTED SPACES(Turkish Journal of Computer and Mathematics Education, 2021-04-20) Sasikalaa, D; Deepa, MThis paper aims to establish a new notion of hyperconnected spaces namely semi j hyperconnected spaces by using semi j open sets. The relation between the existing spaces are also discussed. We also investigate some elementary properties of semi j hyperconnected spaces.Item A NOTE ON CONNECTEDNESS IN TOPOLOGICAL SPACES(Advances in Mathematics: Scientific Journal, 2020) Sasikala, D; Deepa, MIn this paper, we introduce two new types of connectedness namely j-connectedness and 1 2 j-connectedness in a topological space. Also, we discuss some of their basic properties and analyze the characterization using theorems.Item CHARACTERIZATION OF J-OPEN SETS IN MINIMAL STRUCTURE SPACES(Malaya Journal of Matematik, 2020-07-04) Deepa, M; Surekha, S SThe aim of this paper is to introduce the notion of m-j open sets in minimal structure spaces together with its corresponding interior and closure operators. Furthermore, we investigated the basic properties of the sets and studied their relationship with other existing sets. Moreover, the minimal structure properties of j-border, j-frontier and j-exterior of the sets have been discussed.Item A STRUCTURE OF OPEN SETS IN QUAD TOPOLOGICAL SPACES(The International journal of analytical and experimental modal analysis, 2019-11) Sasikala, D; Deepa, MThe 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.Item SOFT ˆ - GENERALIZED CLOSED SETS AND SOFT ˆ - GENERALIZED OPEN SETS IN SOFT TOPOLOGICAL SPACES(International Journal of Innovative Research in Science, Engineering and Technology, 2015-11) Parvathy, C.R; Deepa, MIn this paper a new class of soft sets called Soft- generalized closed sets and Soft ˆ- generalized open sets in Soft Topological spaces are introduced and studied. This new class is defined over an initial universe and with a fixed set of parameters. Some basic properties of this new class of soft sets are investigated. This new class of Soft - generalized closed sets and Softˆ- generalized open sets widening the scope of Soft Topological spaces and its applications.Item HAEMATOCOCCUS: BIOCHEMISTRY, BIOTECHNOLOGY AND BIOMEDICAL APPLICATIONS(Springer Nature, 2023-01-01) Raja, Rathinam; Hemaiswarya, Shanmugam; Narayanan, Mathiyazhagan; Kandasamy, SabariswaranThis book offers a comprehensive analysis of microalgal cultivation methods and optimization of astaxanthin production for various applications, including clinical uses, algae polymers, proteins and pigments, food applications and packaging, algae forming, cosmetics, and more. Microalgae are unicellular living forms and are the primary producers that play a major role in the ecosystem. Commercially, while many documents are available, some recent fields are yet to be explored. The book comprises 19 chapters contributed by experts and reviews the recent developments in the cultivation, harvest, and genetic engineering of H. pluvialis-derived astaxanthin. It also discusses their bottlenecks and challenges in commercial-scale production, as well as current and prospective global market. Current research supports the exploration of new topics and practical applications of microalgae and their products, which will also benefit academia. The book will be an importantresource for researchers and industry, providing comprehensive knowledge on broad topics. Flow charts, updated methods, and colour images are included to help the readers' understanding.Item TIGHT FOCUSING PROPERTIES OF PHASE MODULATED AZIMUTHALLY POLARIZED DOUGHNUT GAUSSIAN VORTEX BEAM BY HIGH NA PARABOLIC MIRROR(Elsevier B.V, 2020) Umamageswari, N; Lavanya, M; Udhayakumar, M; Rajesh, K. B.; Zaroszewicz, ZThe intensity distribution in the focal region of a high NA parabolic mirror for the incident azimuthally polarized doughnut Gaussian vortex beam (DGVB) transmitted through a multi belt complex phase filter (MBCF) is studied using vector diffraction theory. By properly designing the phase of the incident beam using MBCF and by tuning the beam parameters of a DGVB, it is possible to switch the focal spot with sub wavelength dimension and long focal depth in to multiple focal spots suitable for particle acceleration, atom optical experiments, and near-field scanning optical microscopy.